A cone, a sphere and a cylinder all have the same radius r, and the cone and the cylinder both have height 2r (the sphere's diameter). The ratio of the volumes cone : sphere : cylinder is:

Question

Accepted Answer

1 : 2 : 3. With h = 2r: cone = 2/3 π r^3, sphere = 4/3 π r^3, cylinder = 2 π r^3. Ratio = 2/3 : 4/3 : 2 = 1 : 2 : 3.

A cone, a sphere and a cylinder all have the same radius $r$ , and the cone and the cylinder both have height $2 r$ (the sphere's diameter). The ratio of the volumes cone : sphere : cylinder is:

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