Saturday, September 6, 2014

What is the circumference of the circle if the cylinder has 39 volume and height is 4?

Given the cylinder whose volume is 39 and the height is 4.
We need to find the circumference of the base of the
cylinder.


We know that the volume of the cylinder is given
by:


V = r^2*pi * h  where v is the volume, r is the radius,
and h is the height.


The, we will substitute with the given
values.


==> 39 = r^2*pi*
4


==> r^2 = 39/4pi = 3.1 (
approx.)


==> r = 1.76 (
approx.)


Then we will calculate the
circumference.


==> We know that the circumference
formula is given by:


C = 2*pi
*r


==> C = 2*pi * 1.76 = 11.07 (
approx.)


Then, the circumference of the base
of the cylinder is 11.07 units.

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