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A cylinder and a cone are of same base radius and of same height. The ratio of the volume of cylinder to that of the cone is:​
  • a)
    1:2
  • b)
    2:3
  • c)
    3:1
  • d)
    1:3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A cylinder and a cone are of same base radius and of same height. The ...
We have radius of cylinder and cone = r
Height of cone and cylinder = h
Volume of cone = 
Volume of cylinder = πr2h
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Most Upvoted Answer
A cylinder and a cone are of same base radius and of same height. The ...
Introduction:
The question states that a cylinder and a cone have the same base radius and height. We are required to find the ratio of the volume of the cylinder to the volume of the cone.

Formula for the volume of a cylinder:
The volume of a cylinder is given by the formula Vcylinder = πr²h, where r is the base radius and h is the height.

Formula for the volume of a cone:
The volume of a cone is given by the formula Vcone = (1/3)πr²h, where r is the base radius and h is the height.

Calculating the volumes:
Let's assume the base radius of both the cylinder and the cone is 'r' and the height is 'h'. Using these values, we can calculate the volumes of both shapes.

Volume of the cylinder: Vcylinder = πr²h
Volume of the cone: Vcone = (1/3)πr²h

Ratio of the volumes:
To find the ratio of the volumes, we divide the volume of the cylinder by the volume of the cone.

Ratio = Vcylinder / Vcone
Ratio = (πr²h) / ((1/3)πr²h)
Ratio = 3

Conclusion:
The ratio of the volume of the cylinder to the volume of the cone is 3:1.
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Community Answer
A cylinder and a cone are of same base radius and of same height. The ...
C
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A cylinder and a cone are of same base radius and of same height. The ratio of the volume of cylinder to that of the cone is:​a)1:2b)2:3c)3:1d)1:3Correct answer is option 'C'. Can you explain this answer?
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