SSC CGL Exam > SSC CGL Questions > A toy is in the shape of a right circular cyl...
Start Learning for Free
A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.
- a)1440 cm2
- b)385 cm2
- c)1580 cm2
- d)770 cm2
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A toy is in the shape of a right circular cylinder with a hemisphere o...
Radius of cylinder, hemiphere and cone = 5cm
Height osf cone = 12 cm
Then ⇒ (2×3.14×5×13) + (2×3.14×25) + (3.14×5×13)
⇒ 770 cm2
Height osf cone = 12 cm
Then ⇒ (2×3.14×5×13) + (2×3.14×25) + (3.14×5×13)
⇒ 770 cm2
Most Upvoted Answer
A toy is in the shape of a right circular cylinder with a hemisphere o...
To find the surface area of the toy, we need to calculate the surface area of each component separately and then add them together.
1. Surface area of the cylindrical part:
The surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height. In this case, the radius is 5 cm and the height is 13 cm. So, the surface area of the cylindrical part is:
A1 = 2π(5)(13) = 130π cm²
2. Surface area of the hemispherical part:
The surface area of a hemisphere is given by the formula 2πr². Since the radius is the same as the cylindrical part (5 cm), the surface area of the hemispherical part is:
A2 = 2π(5)² = 50π cm²
3. Surface area of the conical part:
The surface area of a cone is given by the formula πr(r + √(r² + h²)), where r is the radius and h is the height. In this case, the radius is 5 cm and the height is 12 cm. So, the surface area of the conical part is:
A3 = π(5)(5 + √(5² + 12²)) = π(5)(5 + √(25 + 144)) = π(5)(5 + √169) = 5π(5 + 13) = 90π cm²
4. Total surface area of the toy:
To find the total surface area, we add the surface areas of all the components together:
Total surface area = A1 + A2 + A3 = 130π + 50π + 90π = 270π cm²
Now, we need to determine the value of π to get the final answer in terms of a numeric value. π is approximately equal to 3.14. Therefore, the total surface area is approximately:
270π ≈ 270(3.14) ≈ 848.4 cm²
So, the correct answer is option D) 770 cm².
1. Surface area of the cylindrical part:
The surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height. In this case, the radius is 5 cm and the height is 13 cm. So, the surface area of the cylindrical part is:
A1 = 2π(5)(13) = 130π cm²
2. Surface area of the hemispherical part:
The surface area of a hemisphere is given by the formula 2πr². Since the radius is the same as the cylindrical part (5 cm), the surface area of the hemispherical part is:
A2 = 2π(5)² = 50π cm²
3. Surface area of the conical part:
The surface area of a cone is given by the formula πr(r + √(r² + h²)), where r is the radius and h is the height. In this case, the radius is 5 cm and the height is 12 cm. So, the surface area of the conical part is:
A3 = π(5)(5 + √(5² + 12²)) = π(5)(5 + √(25 + 144)) = π(5)(5 + √169) = 5π(5 + 13) = 90π cm²
4. Total surface area of the toy:
To find the total surface area, we add the surface areas of all the components together:
Total surface area = A1 + A2 + A3 = 130π + 50π + 90π = 270π cm²
Now, we need to determine the value of π to get the final answer in terms of a numeric value. π is approximately equal to 3.14. Therefore, the total surface area is approximately:
270π ≈ 270(3.14) ≈ 848.4 cm²
So, the correct answer is option D) 770 cm².
Attention SSC CGL Students!
To make sure you are not studying endlessly, EduRev has designed SSC CGL study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in SSC CGL.
|
Explore Courses for SSC CGL exam
|
|
Similar SSC CGL Doubts
Top Courses for SSC CGLView all
A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer?
Question Description
A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer?.
A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer?.
Solutions for A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.a)1440 cm2b)385 cm2c)1580 cm2d)770 cm2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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