A can has the shape of an elliptic cylinder, with base radii a, and b, and height h. Its volume is given by V(a, b, h) = wabh. (a). Find the differential dV in terms of da, db, and dh. (b). A cylindrical can is measured to have height h = 8 centimeters, and radii a. = 3 cm and b = 4 cm. The error for each of these measurements is at most 0.1 cm.. Use dierentials to estimate the maximal error in measuring the volume of the can. 1