1. A water tank has the shape of an inverted circular cone with base radius 2 m and height 5 m. If water is being pumped into the tank at a rate of 2 cubic meters per minute, find the rate at which the water level is rising when the water is 3 m deep. Give your answer exactly (no decimals) and include the correct units. 2. The radius of a cylinder was measured to be 5 cm with a possible error in measurement of 0.03 cm. The height of the cylinder was measured to be 10 cm with a possible error in measurement of 0.02 cm. Use differentials to estimate the maximum error in the calculated volume. Find the relative error and percentage error