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in Surface Areas And Volumes by (38.9k points)
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In a cylinder, if radius is halved and height is doubled, then the volume will be 

A) Same 

B) Doubled 

C) Halved 

D) Four times

2 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (C) Halved

\(R=\frac r2,\) H = 2h

Then \(V=\pi R^2H=\pi(\frac r2)^2\times2h\)

\(=\frac{\pi r^2h}2=\frac v2\)   \((\because v=\pi r^2h)\)

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

+1 vote
by (36.7k points)

Correct option is C) Halved

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