Question

1.
A cone and a cylinder have the same radii but the height of the cone is
3 times that of the cylinder. Find the ratio of their volumes.​

Answer 1

Answer:

1:1

Volume of cone = volume of cylinder

1/3πr^2*3h = π*r^2h

1:1

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Answer 2

The ratio of their volumes is 1:1

• Given data :

Radius of the cylinder = Radius of the cone

Height of the cone = 3 × Height of cylinder

• Let,the radius of cylinder and cone = r

And, height of the cylinder = h

• So,the height of the cone = 3×h = 3h

• Base area of the cylinder = πr²

• Now,the volume of cylinder

= πr²×h

= πr²h

• Now,the volume of cone

= 1/3 × π × r² × 3h

= πr²h

• So,the ratio of their volumes

= Volume of cone : Volume of cylinder

= πr²h : πr²h

= 1:1

So,the ratio is 1:1 (answer).