How do I find the surface area of a cylinder with base radius of 3 ft and height of 8ft with the answer in terms of pi?

Question

kirbykirby · Answer

You can think of a cylinder being a rectangle rolled up, with two circles covering the 2 bases. Thus, the surface area will be the are of that rectangle, plus the area of the 2 circles. 

The dimensions of the rectangle:
the length is the height of the cylinder
the width is the circumference of the circle

So the area of the rectangle = (length)*(width) = (height)*(circumference)

And the area of one circle is: $\pi r^2$, where $r$ is the radius.

anonymous · Answer

use the formula: A=2πrh+2πr^2
A=2π(3)(8)+2π(3)2
A=207.35 sq feet

triciaal · Answer

with the answer in terms of pi?   means do not substitute the value of pi

triciaal · Answer

@kirbykirby good job at deriving the formula
@gregory.d
A = 2*pi*r*h + 2*pi*r^2 as above
= 2*pi*r(h + r)
substituting for r and h
2*pi*3 ( 3 + 8)
= 66 pi