Wednesday, June 24, 2015

What is the circumference of the base of a cylinder if given the volume is 48 and the height is 7 ( I need the answer in terms of pi ).

Given the volume of the cylinder is 48 and the height is
7.


We will use the volume of a cylinder formula to find the
radius of the base.


==> V = r^2 * pi *
h


==> 48 = r^2 * pi *
7


==> r^2 = 48/7pi
=


==> r= sqrt(48/7pi)=
4sqrt(3/7pi)


Now we will calculate the circumference of the
base.


==> C = 2* r * pi = 2*4sqrt(3/7pi) *
pi


==> C = 8 sqrt(3/7)*
sqrtpi


==> C = 8
sqrt(3pi/7)


Then the circumference of the
base is C= 8sqrt(3pi/7) units.

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