1. Find the volume of the solid generated by revolving the region bounded by y= square-root x and y= x^2 about the x-axis 2.find the volume of the solid generated by revolving the region bounded by y=3x-x^2and y=0 about the line x=-1 3. Suppose a spring in equilibrium is 80cm long and a force of 2 newtons (N) stretches the spring to a length of 1.2 meters. How much work is done by the spring force in stretching it from equilibrium to 3 meters? 4. A vertically oriented cylindrical tank with radius 2 meters and height 5 meters is filled to one meter below its top. Letting y=0 correspond to the bottom of the tank. Find the work required to pump the water one meter above the top of the tank. The density of water is 1000 kg/m^3 and the force of gravity is 9.8 m/s^2. Round your answer to one decimal place