All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Banking Exams Exam  >  Banking Exams Questions  >   Read the following information carefully and... Start Learning for Free
Read the following information carefully and answer the questions based on it.
Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.
Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?
  • a)
    33116
  • b)
    33216
  • c)
    33224
  • d)
    33241
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Clear all your Banking Exams doubts with EduRev
Most Upvoted Answer
Read the following information carefully and answer the questions bas...
Length of the cube = 2x - 8
⇒ Lateral surface area of the cube = 4a2 = 4(2x - 8)2 = 4(4x2 + 64 - 32x)
⇒ 4(4x2 + 64 - 32x) = 4y (z - 4) ---------- (1)
Radius of cylinder = x
Height of cylinder = (z - 3)
Volume of the cylinder = π * x2 *(z - 3)
If the dimensions were reversed = π*(z - 3)2*x
Thus, π*(z - 3)2*x = 3/2* π*x2*(z - 3)
⇒ z - 3 = 3/2*x
⇒ z = (3x/2) + 3
Now, radius of sphere = y + 1 cm
Volume of sphere = 4π/3*(y + 1)3
Radius of smaller sphere = x/2
Volume of smaller sphere = 4π/3*(x/2)3
⇒ 4π/3*(y + 1)3 = 27*4 π/3*(x/2)3
⇒ y + 1 = 3(x/2) = 3x/2
⇒ y = (3x/2) -1
From equation (1) we get
4(4x2 + 64-32x) = 4y (z - 4) = 4(3x/2 - 1)(3x/2 + 3 - 4) = (3x - 2)2
⇒ 16x2 + 256 - 128x = 9x2 + 4 - 12x
⇒ 7x2 - 116x + 252 = 0
⇒ (x - 14)(7x - 18) = 0
⇒ x = 14 or x = 18/7
So, z = 3x/2+3 = 24 or 48/7
And, y = 3x/2-1 = 20 or 20/7. But y + 1 = 27/7< />
Thus, y = 20, x = 14 and z = 24
Now, length of cuboid = x + y = 14 + 20 = 34 cm
Breadth of cuboid = y + z = 20 + 24 = 44 cm
Volume of cuboid = 5xyz - 688 = 5*14*20*24 - 688 = 32912 cubic cm
Height of cuboid = 32912/34/44 = 22cm
Thus,
For cube, edge = 2x - 8 = 2*14 - 8 = 20 cm
For cuboid, length = 34 cm, breadth = 44 cm, heigh t= 22 cm
For cylinder, radius=14 cm, height = 24 - 3 = 21 cm
For smaller sphere, radius = 7 cm
For larger sphere, radius = 21 cm
Radius of hemisphere = 2x - 3 = 2*14 - 3 = 25 cm
Volume of hemisphere = 2π/3*253 cubic cm
Radius of bullet=x/10 cm=14/10=1.4 cm
Length of bullet=y/125 cm=20/125 cm=0.16 cm
Volume of one smaller bullet=π*1.42*0.16 cubic cm
Number of bullets that can be made= (2π/3*253)/π*1.42*0.16=33216
Explore Courses for Banking Exams exam

Similar Banking Exams Doubts

Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. What is the length of the rod of maximum length that can be inserted into the cube without disturbing its dimensions?

Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. What is the height of the cone of maximum volume that can be inscribed into the larger sphere?

Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. Which of the following surfaces have maximum total surface area?

Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. The cuboid is cut into 22 parts along its breadth. What is the sum of the total surface area of the 22 parts?

Directions: Study the following information carefully and answer the given question.There are four pizza shops M, N, O and P. Each shop sells large and small pizzas, and the price of each large and small pizza is same, i.e. Rs. 150 and Rs. 90, respectively. For extra cheese and extra topping, Rs. 20 and Rs. 15 are charged, respectively. More information about the number of pizzas sold by these shops is given below.The total large pizzas sold by M are (y) and the total small pizzas sold are (y – 20). Total pizzas sold by N are 90. The ratio of extra cheese and topping orders received by M is 2 : 3, respectively, and the total extra cheese and topping orders received by M are y – 10. The ratio of the total large and small pizzas sold by O is 3 : 5 and the total extra cheese and topping orders received are 40 and 10, respectively. The ratio of the total pizzas sold by P to the total pizzas sold by O is 9 : 8. The total worth of the orders received by N is Rs. 3100 more than the total worth of the orders received by O. The extra cheese orders received by N are 20 more than the extra topping orders received and the total large pizzas sold are 50 more than the total small pizzas sold. The total extra topping and cheese orders received by P are 30 and the extra cheese orders received by P are 50% of the extra cheese orders received by M. The ratio of the total pizzas sold by M, O and N is 10 : 8 : 9, respectively.What is the ratio of the total extra cheese and topping orders received by the four shops in the respective manner?

Top Courses for Banking ExamsView all

Top Courses for Banking Exams

Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
Here you can find the meaning of Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Read the following information carefully and answer the questions based on it.Four surfaces- a cube, a cuboid, a cylinder and a sphere are in consideration. The length of the cube is (2x-8) cm while its lateral surface area is 4(yz-4y) sq cm. The length and breadth of the cuboid is (x+y) cm and (y+z) cm respectively. Volume of the cuboid is (5xyz-688) cubic cm. The radius of the cylinder is x cm and its height is (z-3) cm. If it’s dimensions were reversed, the volume of the cylinder will become 3/2 times of its original volume. The radius of the sphere is (y+1) cm. If it was melted into smaller spheres of radius (x/2) cm, the number of spheres that would be formed is 27. The radius of both the smaller and larger spheres is more than 5 cm.Q. A hemi-sphere of radius (2x-3) cm was melted into small bullets of radius x/10 cm and length y/125 cm. What is the maximum number of bullets that can be made?a)33116b)33216c)33224d)33241e)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
Explore Courses for Banking Exams exam

Top Courses for Banking Exams

Explore Courses
SaveJoin the Discussion on the App for FREE
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup