Question

The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is
A. 1 : 3
B. 3 : 1
C. 4 : 3
D. 3 : 4

Answer 1

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B. 3 : 1

Answer 2

Given : A right circular cylinder and a right circular cone of the same base and height.

Let, the radius of the cone and radius of the cylinder be r and Height of the cone and height of the cylinder be h.

Now,  

Volume of Cylinder (V1) / Volume of cone (V2) = πr²h/(1/3 πr²h)

V1/V2 = 1/(⅓)  

V1/V2 = 1 × 3/1  

V1/V2 = 3/1

V1 : V2 = 3 : 1

Option (B)  3 : 1 is correct.

Hence,the ratio of the volume of a right circular cylinder and a right circular cone of the same base and height is  3 : 1.

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