Volume of Cylinder

Question

The radius of a 12 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.2 inch. What is the resulting possible error in the volume of the cylinder? Include units in your answer.

Answer 1

12π(3.8)² ≤ V ≤ 12π(4.2)²

14.44 ≤ V_error ≤ 17.64

Possible error is ±16.04 in³