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Question 5

If the height of a cylinder becomes 14 of the original height and the radius is doubled, then which of the following will be true ?
(a) Volume of the cylinder will be doubled
(b) Volume of the cylinder will remain unchanged
(c) Volume of the cylinder will be halved
(d) Volume of the cylinder will be 14 of the original volume


Solution

We know that the volume of a cylinder having base radius r and height h is V=πr2h 
Now, if new height is 14th of the original height and the radius is doubled. i.e.
h=14h and r=2r,then
New volume, V=π(2r)2×14h=4πr2×14h
πr2h=V
Hence, the new volume of cylinder is same as the original volume.


Mathematics

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