The formula for the volume of a cone is V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the volume of the cone is 942 cm^3 and the radius is 10 cm, we can plug in the values into the formula and solve for h:
942 = (1/3)π(10)^2h
942 = (1/3)π*100*h
942 = (100/3)π*h
942 = 33.33π*h
h = 942 / 33.33π
h ≈ 8.97 cm
Therefore, the height of the cone is approximately 8.97 cm.
A cone has a volume of 942 cubic centimeters and a radius of 10 cm. What is the height of the cone?
1 answer