Question

Find the ratio of the volumes of a cylinder and cone having equal radius and equal height.

Options

• 1 : 3

• 3 : 1

• 2 : 1

• 1 : 2

Answer 1

3 : 1

Explanation:

`"V"_"cylinder"` = πr²h and V_cone = `1/3 πr^2h`.

So, `"V"_"cylinder"` : V_cone = πr²h : `1/3 πr^2h`

= `1 : 1/3` 

= 3 : 1