Question

A solid cylinderical metal is melted and recast into cubes of metal of side 3cm. The base radius of the initial cylinderical metal is 10.5cm and height is 63cm.How many cubes will be made

Answer 1

808

Explanation:

First find the volume of the original cylinder. It is given by πr²h:

π * (10.5)² * 63 ≈ 21820.717 cm³

Next find the volume of each cube. It is given by lwh:

3 * 3 * 3 = 27 cm³

Finally, divide the volume of the original cylinder by the volume of each cube to determine the number of cubes:

21820.717 / 27 ≈ 808.1747

Partial cubes are not possible, so the answer is 808.