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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. ​

User Llewlyn
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Answer:

Approximately 809 cubes will be made

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

User Damien C
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