Question

Use the image to answer the question.

A cone of radius 8 yards and the height is labeled blank yards. There is a right angle symbol between the lines for the radius and height. The base is shaded.

This cone has a volume of 803.84 yd.3
. Find the height of the cone. Let π=3.14
.

(1 point)

Answer 1

Volume formula: V = (1/3)πr^2h. Solve for h: h = 3V/(πr^2).

r = 8, V = 803.84, π = 3.14:
r^2 = 64, πr^2 = 3.14·64 = 200.96
h = 3·803.84 / 200.96 = 2411.52 / 200.96 = 12

Height = 12 yards.