Find the surface area of the cylinder if given the volume = 234 and the height = 12

Given the volume of the cylinder is v=
234

The height = 12

We need to
find the surface area.

First we will need to find the
radius.

We know that the volume if given by
:

v= r^2*pi*h where r is the
radius.

==> 234= r^2 * pi *
12

==> r^2 = 234/12pi = 6.2
(approx.)

==> r= 2.49 (
approx.)

Now we will calculate the surface
area.

SA = r^2*pi +
h*2*r*pi

SA = (2.49)^2 * pi + 12*2*2.49*pi= 19.48 +
187.74=

     =
207.22

Then, the surface area of the cylinder
is 207.22 square units.