A solid frustum with end radii 16 cm and 10 cm and height 9 cm is melted and recast into small solid cones, each of base radius 3 cm and height 4 cm. How many such cones can be made?

Question

Accepted Answer

129. Frustum volume = 1/3\π × 9 × (256 + 100 + 160) = 3\π × 516 = 1548\π cm³. Each small cone = 1/3\π × 3^2 × 4 = 12\π cm³. Number = 1548/12 = 129. 89 drops the Rr term from the frustum; 43 uses \π r^2 h (the cylinder formula) for the small cones; 387 forgets the 1/3 on the frustum.

A solid frustum with end radii 16 cm and 10 cm and height 9 cm is melted and recast into small solid cones, each of base radius 3 cm and height 4 cm. How many such cones can be made?

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