## 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?

Question

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## Answers ( )

Answer: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.