The barrel has a radius of 7.5 inches. The volume of water it can hold before it spills out is 8,301.375 cubic inches. Find
the height of the barrel. Remember to isolate the height by dividing by the other values.

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).