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. $The second height is 80 \% of the first.$