The radius r and height h of a right circular cylinder are measured with possible errors of 5% and 1%, respectively. Approximate the maximum possible percent error in measuring
The volume.
A)18 %
B)11 %
C)24 %
D)12 %
E)7 %

Question

Quizplus · Accepted Answer

The volume V of a cylinder is given by V = πr²h. The percent error in volume can be approximated by the sum of the percent errors in r and h, weighted by their respective powers in the formula. Thus, the maximum percent error is approximately 2(5%) + 1(1%) = 11%.

The Radius R and Height H of a Right Circular