SOLUTION: Find the total surface area of a cylinder with radius 4 and height 6.

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Question 892416: Find the total surface area of a cylinder with radius 4 and height 6.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The lateral area LA can be found by multiplying the circumference of the circle by the height of the cylinder:
LA+=+2%2A%28pi%29%2Ar%2Ah+=+2%2A%28pi%29%2A4%2A6+=+48%28pi%29
The combined areas of the circular top and bottom is
A%5Bc%5D+=+2%2A%28pi%29%2Ar%5E2+=+2%2A%28pi%29%2A4%5E2+=+32%28pi%29.
Thus the total surface area TA is TA+=+48%2A%28pi%29+%2B+32%2A%28pi%29+=+80%2A%28pi%29 square units.