Question

The height of a cylinder is equal to the radius. If an error of α% is made in the height, then percentage error in its volume is:

A. α%

B. 2α%

C. 3α%

D. None of these

Answer 1

Correct answer is C.

let height of a cylinder = h = radius of that cylinder = r

% error in height Δh/h × 100 = a (given)

Volume of cylinder = v = (1/3) × πr²h

We have given that h = r

Then