Question

The volume of a right cone is 252pi units^3. If its height is 21 units, find its radius.

Answer 1

Based on the calculations, the radius of this right cone is equal to 6 units.

Given the following data:

• Volume of cone =  $252\pi \;units^3$

• Height of cone = 21 units.

How to calculate the volume of a cone.

Mathematically, the volume of a cone is given by this formula:

$V = \frac{1}{3} \pi r^2h$

Where:

• h is the height.

• r is the radius.

Making r the subject of formula, we have:

$r=\sqrt{\frac{3V}{\pi h} }$

Substituting the given parameters into the formula, we have;

$r=\sqrt{\frac{3\times 252\pi}{\pi \times 21} } \\\\r=\sqrt{\frac{756}{21} }\\\\r=\sqrt{36}$

r = 6 units.

Read more on radius here: brainly.com/question/21367171