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