SOLUTION: A cylinder with a height of 4yds and a base diameter of 6yds is shown. find the surface area in terms of pi

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Question 1156482: A cylinder with a height of 4yds and a base diameter of 6yds is shown. find the surface area in terms of pi
Found 2 solutions by MathLover1, Boreal:
Answer by MathLover1(20850) About Me  (Show Source):
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To find the surface area of a cylinder add the surface area of each end plus the surface area of the side.
Each end is a circle so the surface area of each end is pi%2Ar%5E2, where r is the radius of the end. There are two ends so their combined surface area is 2pi%2Ar%5E2.
the surface area of the side is pi%2Ad%2Ah=>2pi%2Ar%2Ah
The entire formula for the surface area of a cylinder is
SA=2pi%2Ar%5E2+%2B+2pi%2Ar%2Ah

given:
a height of h=4yd
and a base diameter of d=6yd=>r=3yd

SA=2pi%2A%283yd%29%5E2+%2B+2pi%2A%283yd%29%2A%284yd%29

SA=2pi%2A9yd%5E2+%2B+2pi%2A12yd%5E2
SA=18pi%2Ayd%5E2+%2B+24pi%2Ayd%5E2
SA=42pi%2Ayd%5E2+



Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This unrolls into a rectangle with length2 pi*rand height 4. There are two end circles with area pi*r^2
A=2pi*r*h+2pi*r^2
=2*pi*3*4+2 pi*9
=42 pi yds ^2