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 = [tex]\pi r^2\frac{h}{3}[/tex]
[tex]\pi r^2\frac{4}{3}=12\pi[/tex]
Multiplying both sides by 3
[tex]3*\pi r^2\frac{4}{3}=12\pi * 3\\4\pi r^2 =36\pi[/tex]
Dividing both sides by 4π
[tex]\frac{4\pi r^2}{4\ pi}=\frac{36\pi }{4\pi }\\\\r^2=9[/tex]
Taking square root on both sides
[tex]\sqrt{r^2}=\sqrt{9}\\r=3[/tex]
The radius of cone is 3 inches.
Keywords: volume, radius
Learn more about volume at:
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