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NikAS [45]
2 years ago
14

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

Learn more about volume at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

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