Name: ____________________ Date: ____________________ AP Calculus BC Class Activity 4c: Differentials Given , use a tangent line through to approximate g (1.1) to three decimal places. Use calculus to approximate . The measurement of an edge of a cubic box is found to be 12 inches with a possible error of inch. Use differentials to find the greatest possible error in calculating the volume of the box. The radius of a spherical balloon is measured to be 6 inches. . The possible error in calculating the radius is 0.2 inches. Use differentials to find the greatest possible error in calculating the volume of the sphere. Find the largest possible value for the actual volume of the spherical balloon.