Volume of a cylinder is πy2x, where y and x are radius and height of the cylinder respectively. Find percentage error in the measurement of volume. which of the two measurement, height or radius need more attention?
Height of cylinder = x
Radius of cylinder = y
Volume of cylinder = ∏y2x
Percentage error in measurement of volume
% error in v = 2 × % error in y + % error in x
x 100 = x 100
Hence, radius needs more attention because any error in its measurement is multiplied two times.
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