Geometry Homework

Question

A cones circular base has a radius of 20 feet. The volume of the cone is 1990 cubic feet. What is the approximate height of the cone?

A. 4.75 feet

B. 19.2 feet

C. 1.58 feet

D. 9.51 feet

Answer 1

The formula for the volume of a cone is V = 1/3 π r² h.

Solving for h, h = 3V/π r²

Substituting, h = 3 * 1990 /π * 20² = 5970 / 400 π

h = 5970/1256.637

h = 4.75

Answer 2

1990 = 400πh/3

5970 = 400πh

h = 5970/400π

h = 4.75

A