A cone has a height of 20 centimeters and a volume of 4,710 cubic centimeters. What is the area of the base of the cone?

706.5 cm^2

Step-by-step explanation:

First we need to find the r to find the area of the base which is the circle so we use the volume to find r

V = 1/3πr^2h now adjust the equation for r

r = √3V/πh

r = √3 (4710) / 20π

r = 15

now that we have r, the base of cone is a circle so we use the area formula for circle

area = πr²

area = 3.14 (15) ^2

area of base = 706.5 cm^2