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Maru [420]
3 years ago
5

. If the radius is doubled and the height is halved what is the ratio of the new volume to the original volume

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer: Ratio of new volume to original volume is 2:1.

Step-by-step explanation:

Let the radius of cylinder be 'r'

Let the height of cylinder be 'h'

Original volume of cylinder will be

V=\pi r^2h

If radius get doubled,

New radius be '2r'

If height get halved,

New height be will be

\frac{h}{2}

so, Volume of cylinder becomes

Volume=\pi (2r)^2\times \frac{h}{2}=\pi \times 4r^2\times \frac{h}{2}\\\\Volume=2\pi r^2h

Ratio of new volume to the original volume is given by

2\pi r^2h:\pi r^2h\\\\2:1

Hence, Ratio of new volume to original volume is 2:1.

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