emopotato emopotato

17-05-2016
Mathematics

Answered

If the volume of a cylinder is 75pi cubic inches and the height is 3 inches then what is the radius of the base of the cylinder?

Verified Answer :

VenusRetrograde VenusRetrograde

17-05-2016

The formula for the volume of a cylinder is:

V=πr²h

We already know that...

V=75π
&
h=3in
so we can solve for the radius

V=πr²h
75π=πr²3
Divide both sides by pi
75=r²*3
Divide both sides by 3
25=r²
find the square root of both sides
5in=r

The radius of the base of the cylinder is 5in

Answer= 5in.

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