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

Approximately 809 cubes will be made

Step-by-step explanation:

To calculate the number if cubes to be made, we shall need to calculate the volume of both shapes

The volume of the cubes can be calculated using the formula L^3 = 3 * 3 * 3 = 27 cm^3

For the cylinder, the formula of the volume to use is

V = π * r^2 * h

The radius here is 10.5 cm and the height is 63 cm

V = 22/7 * 10.5^2 * 63 = 21,829.5 cm^3

The number of cubes that can be made is calculated by dividing the volume of the cylinder by that of the cube

That is 21,829.5/27 = 808.5 which is 809 to the nearest whole number