If the base radius of a cylinder is doubled, then how many times will its volume become with respect to its original volume?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 4
The volume of a cylinder is \(V=\pi r^2h\): it grows with the square of the radius, so doubling the radius (with the same height) multiplies the volume by \(2^2\).
New volume: \(\pi(2r)^2h=4\pi r^2h=4V\)