Answer to Question #266179 in Calculus for Alunsina

Question

The diameter of a right circular cylinder is equal to its altitude. Letting V and S be the respective volume and surface area of the cylinder and 2r the diameter, use differentials to estimate the maximum possible error, relative error, and percentage error in computing

(a) the volume of this cylinder and

(b) the surface area of the cylinder

when the measured diameter is 20 cm and the maximum possible error in the measurement is 0.1 cm.