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 [tex]4^3[/tex] times the volume of original cylinder.
[tex]\text{Volume of original cylinder}\times 4^3=\text{Volume of new cylinder}[/tex]
[tex]\text{Volume of original cylinder}\times 64=2240[/tex]
[tex]\frac{\text{Volume of original cylinder}\times 64}{64}=\frac{2240}{64}[/tex]
[tex]\text{Volume of original cylinder}=35[/tex]
Therefore, the volume of the original cylinder is 35 cubic units.
