1 Answer

Chrmue · Answer 1 · 2021-01-19T09:46:08+0000

Answer:

$r=\sqrt{(3V)/(\pi h)}$

Explanation:

The formula for the volume of a cone is given by :

$V=(1)/(3)\pi r^2 h$

Where

r is radius of cone and h is its height

We need to solve the above formula for r.

Cross multiplying both sides of the given formula

$3V=\pi r^ 2h$

Dividing both sides by πh.

$(3V)/(\pi h)=(\pi r^2 h)/(\pi h)\\\\r^2=(3V)/(\pi h)\\\\r=\sqrt{(3V)/(\pi h)}$

So, the formula for r is
$\sqrt{(3V)/(\pi h)}$

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