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Q: The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be?

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The volume will be doubled.

The volume of the cylinder would be doubled.

its volume is also doubled...

quadrupled. :)

Volume doubles

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The volume is doubled.

Volume doubles

If the mass is doubled then the force needed is also doubled,according to the equation F=MV2/R

Yes.

If the radius and height of a cylinder are both doubled, then its surface area becomes 4 times what it was originally, and its volume becomes 8 times as much.

Momentum = mass x velocity. So if the velocity is doubled, momentum will be doubled as they are directly proportional to each other.

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