AMC 10A 2015 Problem 9

Two right circular cylinders have the same volume. The radius of the second cylinder is 10 \% more than the radius of the first. What is the relationship between the heights of the two cylinders?

Answer Choices
A. $The second height is 10 \% less than the first$
B. $The first height is 10 \% more than the second.$
C. $The second height is 21 \% less than the first.$
D. $The first height is 21 \% more than the second.$
E. $The second height is 80 \% of the first.$