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2 years ago

Find the height h of a cone with volume V = 32π cm3 and radius r = 4 cm.

Mathematics

1 answer:

Otrada [13]2 years ago

3 0

The height of cone is 6 cm.

Step-by-step explanation:

Given,

Volume of cone = V = 32π cm³

Radius of cone = r = 4 cm

Height of cone = h

We know that;

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

Putting values

$32\pi = \pi(4)^2\frac{h}{3}\\\\32\pi = 16\pi \frac{h}{3}$

Dividing both sides by 16π

$\frac{32\pi}{16\pi}=\frac{16\pi}{16\pi}*\frac{h}{3}\\\\2=\frac{h}{3}\\\\\frac{h}{3}=2$

Multiplying both sides by 3

$3*\frac{h}{3}=\2*3\\h=6\ cm$

The height of cone is 6 cm.

Keywords: volume, height

Learn more about volume at:

#LearnwithBrainly

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