Question

The radius of a 10 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.1 inch. What is the resulting possible error in the volume of the cylinder? Include units in your answer.

Answer 1

25.13274125 in³

Explanation:

The radius = 4 ± 0.1

height = 10

Volume of a cylinder = πr²h

Actual volume of the cylinder = π × 4² × 10

= 502.6548246

Maximum volume = π × 4.1² × 10

= 528.1017251

Minimum volume = π × 3.9² × 10

= 477.8362426

Average error = (528.1017251 - 477.8362426)/2

= 50.2654825/2

= 25.13274125 in³

The units are inches cubed.