Question

A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio 3 : 1.

Answer 1

Step-by-step explanation:

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Answer 2

Given : A cylinder and a cone are having equal radii of their bases and heights.

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

Hence, it is proved that their volumes are in the ratio 3 : 1.

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