Find the rate of change of the total surface area of a cylinder of radius r and height h, when the radius varies.

Asked by Aaryan | 1 year ago |  63

##### Solution :-

As we know that total surface area of cylinder = 2πr2 + 2πrh

Given as the radius of cylinder varies

So, find $$\dfrac{ds}{dr}$$

Here, s = surface area of cylinder and r = radius of cylinder.

$$\dfrac{ds}{dr}$$ = 4πr + 2πh

Thus, rate of change of tatal surface area of cylinder when the radius is varying given by (4πr + 2πh).

Answered by Sakshi | 1 year ago

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