10. (5 pts) A spherical softball is measured to have a radiu…
10. (5 pts) A spherical softball is measured to have a radius of 9 cm, with a possible measurement error of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated surface area of the ball. Round your answer to 3 places after the decimal. (b) Using your answer from part a, estimate the maximum relative (percentage) error in the calculated surface area of the ball. Give your answer in percentage form. Formulas you may need: Sphere surface area: S = 4πr2 Sphere volume: V = (4/3)πr3