How does the volume of a cylinder change if the radius is quadrupled and the height is reduced to a third of its original size?

the answer is 1/3 pie r2h

Step-by-step explanation:

The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and h is the height of the cylinder.

Also r=d/2, where d is the diameter of the cylinder.

Therefore if the diameter is halved, the radius also gets halved, i. e., it becomes r/2. Therefore the new volume = π (r/2) ²h

=π (r²/4) h

= (1/4) πr²h

Therefore the volume becomes one-fourth of the initial volume.