Question

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

Answer 1

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
(1/3)π(3 in)²h=31.5 in³
(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.