A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical met

Question

3 years ago

13

al is 10.5cm and height is 63cm. How many cubes will be made.

1 answer:

Orlov [11] · Answer 1 · 2022-01-06T09:43:14+03:00

Answer:

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