The height of a cylinder is equal to the radius. If an error of `alpha%` is made in the height, then percentage error in its volume is `alpha%` (b) 2`alpha%` (c) 3`alpha%` (d) none of these

Explanation

height of cyliner is h & radius is r

so,`h=r`

`(del h)/h xx 100 = a`

`(dh)/h xx 100 = a`

`dh = (ah)/100`

volume of cylinder= `v= pi r^2 h= pi h^2 h = pi h^3`

`v = pi h^3`

diff wrt h

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