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

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Expert Answers

hala718 | Certified Educator

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.**