Question

in a cylinder if radius is halved and height is doubled then find the volume with respect original volumeù
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Answer 1

Answer:

Let the radius and height of the cylinder be 14 cm and 20 cm respectively. Therefore, the original volume will be as follows. Therefore, in a cylinder, if the radius is halved and the height is doubled, then the volume will be halved.

Answer 2

Answer:

Let the radius and height of the cylinder be 14 cm and 20 cm respectively.

Case 1

Therefore, the original volume will be as follows.

Volume of the cylinder = πr²h

= 22/7 × 14 × 14 × 20

Original volume = 12320 cm³

Case 2

If the radius is halved and the height is doubled, then the radius = 7 cm and the height = 40 cm

Volume of the new cylinder = 22/7 × 7 × 7 × 40

Volume of the new cylinder = 6160 cm³

Therefore, in a cylinder, if the radius is halved and the height is doubled, then the volume will be halved.

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