Question

If the percentage errors in the radius and
height
of cylinder are 2% and 3%.
Find the
errors in its
its volume and curved surface are
​

Answer 1

Answer: The explanation is given below. I hope you know the basics.

Explanation: The percentage error in the volume of the cylinder is as follows:

 Volume of the cylinder = $\pi hr^{2}$

Therefore, the percentage error = 3 + 2(2) = 3 + 4 = 7%

And, Curved surface area of the cylinder = $rh2\pi$

Therefore, the percentage error = 2 + 3 = 5.

I have solved in a short manner. Hope you will understand it.

When calculating percentage errors you have to ignore the constants and numbers such as π and 2 and then multiply the power of the given quantity by its given percentage error, for example $r^{2}$ will be written as 2(2).

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