Defence Exam  >  Defence Questions  >  A drinking glass of height 24 cm is in the sh... Start Learning for Free
A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?
  • a)
    824
  • b)
    1236
  • c)
    1628
  • d)
    2472
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A drinking glass of height 24 cm is in the shape of frustum of a cone ...

Given that height is 24 cm and diameters of bottom and top circular ends are 4 cm and 18 cm respectively;
∴ H = 24 cm, R = 18/2 = 9 cm and r = 4/2 = 2 cm;
We know the formula;
Volume of the frustum of a cone = (π/3) × H × (R2 + r2 + Rr)
∵ It is given that the capacity of the glass as πx cm3 that means the volume of the frustum of the cone is πx cm3;
∴ πx = (π/3) × 24 × (81 + 4 + 18)
⇒ x = 8 × 103
⇒ x = 824 
View all questions of this test
Most Upvoted Answer
A drinking glass of height 24 cm is in the shape of frustum of a cone ...

Given Data:
- Height of frustum of cone (glass) = 24 cm
- Diameter of bottom circular end = 4 cm
- Diameter of top circular end = 18 cm

Formula for Volume of Frustum of Cone:
- The volume of frustum of a cone is given by the formula: V = πh/3 * (R^2 + r^2 + Rr), where h is the height of frustum, R and r are the radii of the top and bottom circular ends.

Calculating Radii:
- Radius of bottom circular end (r) = diameter/2 = 4/2 = 2 cm
- Radius of top circular end (R) = diameter/2 = 18/2 = 9 cm

Calculating Volume:
- Substitute the values in the formula: V = π*24/3 * (9^2 + 2^2 + 9*2)
- V = π*8 * (81 + 4 + 18)
- V = π*8 * 103
- V = 824π cm^3

Value of x:
- As the capacity of the glass is given as πx cm^3, x = 824

Therefore, the value of x is 824.
Explore Courses for Defence exam
A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer?
Question Description
A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer?.
Solutions for A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence. Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x?a)824b)1236c)1628d)2472Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Defence tests.
Explore Courses for Defence exam
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