If the radius of this cylinder is doubled, its volume will be.. a. twice as much. b. four times as much. c. eight times as much

The volume of a cylinder is expressed as:

Volume = πr²h

where r is the radius of the base and h is the height of the cylinder. If the r is doubled then,

Volume = π(2r)²h
Volume = 4πr²h

Therefore, the correct answer is option B. The volume is four times as much the original volume.