The base radius of a cylinder is r and its height is h. The radius of the cylinder is then increased by afactor of 6. Find the height of the new cylinder, given that its lateral area remains the same as that of theoriginal cylinder

The drag force, fd, imposed by the surrounding air on a vehicle moving with velocity v is given by fd = cdaρv 2/2 where cd is a constant called the drag coefficient, a is the projected frontal area of the vehicle, and ρ is the air density. an automobile is moving at v = 80 kilometers per hour with cd = 0.28, a = 2.3 m2, and ρ = 1.2 kg/m3.