Ask Question
5 February, 07:10

The volume of a cylinder is V = 1/3 πr2h. If the radius is doubled and the height is halved, what will be the ratio of the new volume to the old volume

+1
Answers (1)
  1. 5 February, 07:18
    0
    V (o) = 1/3 πr²h - old volume

    V (n) = 1/3 π (2r) ² (h/2) = 1/3 π (2r) ² (h/2) = 1/3*4/2 * πr²h=1/3*2 * πr²h

    V (n) / V (o) = 1/3*2 * πr²h/1/3 πr²h=2/1

    V (n) / V (o) = 2/1 - ratio

    the volume will be doubled
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The volume of a cylinder is V = 1/3 πr2h. If the radius is doubled and the height is halved, what will be the ratio of the new volume to ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers