A cylinder of radius 14 cm and height 5 cm is melted and recast into cubes of edge 2 cm. How many identical cubes will be obtained?

Correct answer: 385

Solution

The volume of the cylinder is \(\pi r^2 h = \frac{22}{7} \times 14^2 \times 5 = 3080\,\text{cm}^3\). The volume of one cube is \(2^3 = 8\,\text{cm}^3\). So the number of cubes is \(3080/8 = 385\).

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