Examples of Math Problems: The height of the cylinder is three times the diameter of the base. The surface area of the cylinder is 126. What is the radius of the base?

Wednesday, May 22, 2013

The height of the cylinder is three times the diameter of the base. The surface area of the cylinder is 126. What is the radius of the base?

h=3d=3(2r)=6r

%0D%0AA%5Bs%5D=2%2Api%2Ar%5E2%2Bh%282%2Api%2Ar%29%0D%0A

%0D%0AA%5Bs%5D=2%2Api%2Ar%5E2%2Bh%282%2Api%2Ar%29%0D%0A

%0D%0AA%5Bs%5D=2%2Api%2Ar%5E2%2B6r%282%2Api%2Ar%29=14%2Api%2Ar%5E2%0D%0A

so that

%0D%0A126=14%2Api%2Ar%5E2%0D%0A

%0D%0Ar=3%2Fsqrt%28pi%29%29%0D%0A

:)

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