Question

d) A cylinder and cone have same radius and same height. What can you say about their volumes?​

Answer 1

Step-by-step explanation:

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Answer 2

Given:-

The radius and the height of the cone and the cylinder are equal.

To find:-

The relation between their volumes.

Solution:-

Let the radius of the cone and the cylinder be r and h respectively.

The volume of cone = $\frac{1}{3}$π$r^2h$

and, volume of the cylinder = π$r^2$h

Comparing both volumes,

$\frac{1}{3}$π$r^2$h = π$r^2h$

We can see that the volume of cone is $\frac{1}{3} ^{rd}$ the volume of cylinder,

Hence, we can see that the volume of cylinder is three times the volume of a cone.