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?
1 answer:
Answer:
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
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