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A cylinder has a volume of 320 pi cu. in. and a height of 5". Find the radius of the cylinder.

asked
User Mero
by
8.7k points

1 Answer

5 votes

Answer:

The radius of cylinder is 8 inches.

Explanation:

We have given,

Volume of cylinder = 320π cubic inches

Height of cylinder = 5 inches

We know, Formula for volume of cylinder as : V =πr²h

where r is radius of cylinder and h is the height of cylinder.

So, We can plug values for V and h to get radius of cylinder.

i.e V = πr²h

320π = πr²* 5

Solving for r.

We get,

320 = r² * 5

320/5 = r²

64 = r²

or r = ±8 , Since radius of cylinder can not a negative number so we neglect -8.

Hence the radius of cylinder is 8 inches.


answered
User VDK
by
7.9k points

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