Math CentralQuandaries & Queries


Question from San, a student:

the volume V of a square-based pyramid with base sides s and height h is V=1/3s2h if the height is half of the length of a base side, express the volume Vas a function of s


The volume of a right circular cylinder of radius r and height h is V = π r2 h. If the cylinder is a Canadian penny the height (thickness) is approximately one seventh the radius. Express the volume V of a Canadian penny as a function of the radius.

Since the thickness is one thirteenth the radius h = 1/13 r. Thus

V = π r2 h = π r2 × (1/13 r) = π/13 r3.

Now try your problem,

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