Mathematics
The radius of a solid cylinder is doubled keeping the height same. The percentage increase in its volume is :
200%
100%
400%
300%
Mensuration
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Answer
Before change :
Radius of cylinder = r
Height of cylinder = h
Volume of cylinder = πr2h
After change :
Radius of cylinder = 2r
Height of cylinder = h
Volume of cylinder = π(2r)2h = 4πr2h
Difference in volume = Volume after change - Volume before change
= 4πr2h - πr2h
= 3πr2h.
Percentage increase in volume
Hence, Option 4 is the correct option.
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