Question

A cylinder was enlarged by a scale factor of 4. The new volume is 2,240 cubic units. What was the volume of the original cylinder

Answer 1

We have been given that a cylinder was enlarged by a scale factor of 4. The new volume is 2,240 cubic units. We are asked to find the volume of original cylinder.

We know that a cylinder is a three dimensional object. Since scale factor is 4, so each side of new cylinder will be 4 times the side of original side of cylinder.

Due to 3 dimensions, the volume of new cylinder is $4^3$ times the volume of original cylinder.

$\text{Volume of original cylinder}\times 4^3=\text{Volume of new cylinder}$

$\text{Volume of original cylinder}\times 64=2240$

$\frac{\text{Volume of original cylinder}\times 64}{64}=\frac{2240}{64}$

$\text{Volume of original cylinder}=35$

Therefore, the volume of the original cylinder is 35 cubic units.