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Lina20
1 month ago
12

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

Mathematics
1 answer:
Inessa [12.5K]1 month ago
3 0

The height of the 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

It's known that;

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

Substituting the values into the equation

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 cone’s height measures 6 cm.

Keywords: volume, height

Learn more about volume at:

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