Question

A sandcastle mold is in the shape of a cone, with a diameter of 4 meters and a height of 6 meters. What volume of sand is needed to fill the mold? Use 3.14 for π
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Answer 1

Volume of a cone: V = (1/3)πr^2h. Here r = 2 m and h = 6 m, so

V = (1/3)·π·2^2·6 = (1/3)·π·24 = 8π.

Using π = 3.14 gives V = 8 × 3.14 = 25.12 cubic meters.