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.

25.13274125 in³

Step-by-step 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.