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Mathematics 36 Online
OpenStudy (anonymous):

Which is greater, the volume of a hemisphere with radius 2 cm or the total volume of two cones with radius 2 cm and height 2 cm?

OpenStudy (anonymous):

sphere is 4/3 pi r^3 hemisphere is 1/2 of a sphere. cone is 1/3 area of the base * height. SO hemisphere is 1/2 * 4/3 * 3.14 * 2^3 is 16.746666 cm^3 cone is 1/3 (pi r^2) * height 1/3 * pi * 2^2 * 2 is 8.37 BUT you have to cones so 2 * 8.37 = 16.746666 They are the same...

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