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) `2alpha%` (c) `3alpha%` (d) none of these

Explanation

Correct option is C)

Volume of cylinder `{V}=pi {r}^{2} {~h}`

Since, `h=r`


`V=pi h^{3} `

`frac{d V}{d h}=3 pi h^{2}`



Given, percentage error in measuring height `=alpha %`
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