Examples of Math Problems: A tin can with a circular base has a volume of 27(pi)cm^3 and the surface area of the vertical (curved) side is 18(pi)cm^2. What are the dimensions of the can?

Saturday, August 3, 2013

A tin can with a circular base has a volume of 27(pi)cm^3 and the surface area of the vertical (curved) side is 18(pi)cm^2. What are the dimensions of the can?

Area:

%0D%0A2pi%2Ar%2Ah=18%0D%0A

which we write as
%0D%0Ah=18%2F%282pi%2Ar%29%0D%0A

%0D%0Ah=18%2F%282pi%2Ar%29%0D%0A

Volume

%0D%0Api%2Ar%5E2h=27%0D%0A

After substituting and solving we get r=3
which means h=3%2Fpi

h=3%2Fpi

:)

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