if radius of cylinder is double and height become half then what is the
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Answer:
Let radius of cylinder = r
Let height of cylinder = h
Then, volume of cylinder is given by
V = πr2h …(i)
According to the question, now
Radius of the cylinder = 2r
Height of the cylinder = h/2
Then, volume of cylinder is given by
V’ = π(2r)2(h/2) = 4πr2(h/2) = 2πr2h = 2 (πr2h) = 2V
⇒ V’ = 2V
Thus, volume will be doubled if the radius of a cylinder is doubled and height is halvedre
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