Question

If the length of the radius of a cylinder is tripled, which statement is true?

A) The lateral surface area of the cylinder is six times greater than the original.

B) The volume of the cylinder is six times greater than the original.

C) The lateral surface area of the cylinder is three times greater than the original.

D) The volume of the cylinder is three times greater than the original.

Answer 1

lateral surface area s=2 pi r h
if r=3r
S=2 pi (3r)h=3*[2 pi r h]=3s