SOLUTION: how many square units are in the surface area of a cylinder whose radius is 3 units and whose height is 6 units

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Question 365768: how many square units are in the surface area of a cylinder whose radius is 3 units and whose height is 6 units
Found 2 solutions by jim_thompson5910, robertb:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
S=2pi%2Ar%5E2%2B2pi%2Ar%2Ah Start with the surface area of a cylinder formula.


S=2pi%2A%283%29%5E2%2B2pi%2A%283%29%2A%286%29 Plug in r=3 (the given radius) and h=6 (the given height)


S=2%283.14159265%29%2A%283%29%5E2%2B2%283.14159265%29%2A%283%29%2A%286%29 Replace pi with 3.14159265 (note: Use more digits of pi to get better accuracy).


S=2%283.14159265%29%2A%289%29%2B2%283.14159265%29%2A%283%29%2A%286%29 Square 3 to get 9.


S=56.5486677%2B113.0973354 Multiply.


S=169.6460031 Add.


So the surface area of the cylinder is approximately 169.6460031 square units.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Area of two bases: 2%2Api%2Ar%5E2+=+2%2Api%2A3%5E2+=+18pi.
Lateral area: C%2Ah+=+2%2Api%2Ar%2Ah+=+2%2Api%2A3%2A6+=+36%2Api.
Total surface area = 18pi+%2B+36%2Api+=+54%2Apisquare units.