Question

in a cylinder, if radius is halved and height is doubled then its volume remains same true or false justify​

Answer 1

Solution:-

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.

Answer 2

Answer:

false

Step-by-step explanation:

answer is in attachment

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