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2 years ago

A cone has volume of 12\pi cubic inches. Its height is 4 inches. What is its radius?

Mathematics

1 answer:

asambeis [7]2 years ago

6 0

The radius of cone is 3 inches.

Step-by-step explanation:

Given,

Volume of cone = 12π cubic inches

Height of cone = 4 inches

Let,

r be the radius of cone.

Volume of cone = $\pi r^2\frac{h}{3}$

$\pi r^2\frac{4}{3}=12\pi$

Multiplying both sides by 3

$3*\pi r^2\frac{4}{3}=12\pi * 3\\4\pi r^2 =36\pi$

Dividing both sides by 4π

$\frac{4\pi r^2}{4\ pi}=\frac{36\pi }{4\pi }\\\\r^2=9$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{9}\\r=3$

The radius of cone is 3 inches.

Keywords: volume, radius

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