Question

a cone has a volume of 150.72 cubic millimeters and a height of 9 millimeters what is the radius

Answer 1

The volume of a cone is the amount of space in the cone

The radius of the cone is 4.00 millimeters

How to determine the radius

The given parameters are:

Volume = 150.72 cubic mL

Height = 9 mL

The volume of a cone is calculated as:

$V = \frac 13 \pi r^2h$

So, we have:

$150.72 = \frac 13 \pi * r^2 * 9$

Divide

$150.72 = \pi * r^2 * 3$

Divide both sides by 3

$50.24 = \pi * r^2$

Rewrite the equation

$50.24 = \frac{22}{7} * r^2$

Solve for r^2

$r^2 = 50.24 * \frac{7}{22}$

Solve for r

$r = 4.00$

Hence, the radius of the cone is 4.00 millimeters

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