Question

What will happen to the volume of a cylinder if the radius is halved?

A. 1/4 as large
B. 1/5 as large
C. 1/3 as large
D. 1/2 as large

Answer 1

A. 1/4 as large

Explanation:

The volume of a cylinder is given by

V = pi r^2 h

Cut the radius in 1/2

V = pi (1/2r)^2 h

V = pi (1/4) r^2 h

V = 1/4 pi r^2 h

The volume is 1/4 what is was before we cut the radius in 1/2