1.) use the shel method to find the volume of the solid generated when the region bounded by y= x^5, y=12 and x=0 is revolved about the x- axis?
2.)a tank on a water tower is a sphere of radius 20 meters. Determine the depth of the water when the tank is filled to two thirds of its total capacity
3.) find the center of mass of the lamina of uniform density (rho symbol)bounded by the graph of f (x)=4-x^2, and the x-axis
4.)find the centroid of the region bounded by the curves: y=2x-x^2, y=1,x=0.(Assume uniform density, rho.) This shape is called a parabolic spandrel.