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 = [tex]\pi r^2\frac{h}{3}[/tex]
Putting values
[tex]32\pi = \pi(4)^2\frac{h}{3}\\\\32\pi = 16\pi \frac{h}{3}[/tex]
Dividing both sides by 16π
[tex]\frac{32\pi}{16\pi}=\frac{16\pi}{16\pi}*\frac{h}{3}\\\\2=\frac{h}{3}\\\\\frac{h}{3}=2[/tex]
Multiplying both sides by 3
[tex]3*\frac{h}{3}=\2*3\\h=6\ cm[/tex]
The height of cone is 6 cm.
Keywords: volume, height
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