The volume of a cone is 31.5 inches cubed and the radius is 3 inches what is the height of the cone

1 answer:

3 0

Volume of a cone: (1/3)πr²h

Data:
V=31.5 in³,
r=3 in

Then:
V=(1/3)πr²h
31.5 in³=(1/3)π(3 in)²h
<span>(1/3)π(3 in)²h=31.5 in</span>³
(1/3)π(9 in²)h=31.5 in³
3πin² h=31.5 in³
h=(31.5 in³) / (3π in²)
h≈3.34 in

answer: the height of the cone is 3.34 in.

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