If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be
one third
Explanation for the correct option.
Let the height of the cylinder is and radius is .
We know that curved surface area of the cylinder is given by:
Let changed height is .
Given: The radius of a cylinder is tripled but its curved surface area is unchanged.
Therefore,
Hence, the changed height is one-third of the previous height.
Option is the correct answer.