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A cylinder has a volume of 288 pi cubic meters and a height of 9 meters. What is the area of the base?

32 pi square meters

2 Answers

3 votes

Answer:

32 pi square meters

Explanation:

User Jake Lee
by
7.5k points
4 votes

Answer:

The area of the base is about 32 square meters

Explanation:

V = pi times r^2 times h which is the formula.

Since the volume is 288, and the height is 9 it is,

288 = pi times r^2 times 9,

288/9 = pi times r^2 times 9/9

32/pi = pi/pi times r^2

10.2 = r^2

The square root of 10.2 is about 3.19

Area formula is pi times radius, r^2

3.19 times 3.19 or 3.19^2 = 10.1761

10.1761 times pi is 31.96 which is about 32 square meters.

I hope this helps!

User Georg Mavridis
by
8.1k points

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