AMC 10 Step by Step
Log inSign up
Printable

2015 AMC 10A Problem 9

Include the solutionBack to the problem
2015 AMC 10A Problem 9AMC 10 Step by Step
Name:                             Date: September 13, 2026
Ratios, Percents & Averages · difficulty 2 of 5 · about 2 min · position P1-10

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

  1. A)

    The second height is 10% less than the first.\text{The second height is } 10\% \text{ less than the first.}

  2. B)

    The first height is 10% more than the second.\text{The first height is } 10\% \text{ more than the second.}

  3. C)

    The second height is 21% less than the first.\text{The second height is } 21\% \text{ less than the first.}

  4. D)

    The first height is 21% more than the second.\text{The first height is } 21\% \text{ more than the second.}

  5. E)

    The second height is 80% of the first.\text{The second height is } 80\% \text{ of the first.}

Working