Question

Can two or more three-dimensional solid figures have the same volume? Why or why not?

Answer 1

Yes, they can.

For example, cone and cylinder. Take a cylinder with a base radius of 1 meter and a height of 1 meter

$V = \pi r^2h$

$V = \pi$

And take a cone with a base radius of 1 meter and a height of 3 meters

$V = {1 \over 3}\pi r^2h = {1 \over 3}*3\pi=\pi$

$V = \pi$

Both of these figures have the same volume.