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4 votes
A cylinder has a volume of 225π inches3 . What is its height, if its radius is 10 inches?

A) 2.25 inches
B) 22.5 inches
C) 2.25 π inches
D) 0.716 inches

asked
User Hellfish
by
8.7k points

1 Answer

1 vote

The formula for the volume of a cylinder is

... V = π·r²·h

where r is the radius and h is the height.


Filling in the given numbers, we have

... 225π in³ = π·(10 in)²·h

Dividing by the coefficient of h, we get

... (225π in³)/(100π in²) = h

Cancelling common factors, gives

... 2.25 in = h


The appropriate choice is

... A) 2.25 inches

answered
User Oleg Khalidov
by
7.8k points

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