If the radius of a cylinder is doubled and the height remains same, the volume will be
A. doubled
B. halved
C. same
D. four times
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Given : If the radius of a cylinder is doubled and the height remains same.
Let the radius of the cylinder be r and the height of the cylinder be h.
So, Volume of cylinder = πr²h
Now , new radius = 2r
and new radius = h
Then ,
New Volume = π × (2r)² × h
New Volume = π × 4r²h
New Volume = 4(πr²h)
Hence, the volume will be FOUR times.
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fourth times
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