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

Question

Mathematics

Isaiah Graham

19 June, 15:18

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

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Evangeline Castaneda · Answer 1

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