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

Aspring is used to stop a 50-kg package which is moving down a 20º incline. the spring has a constant k = 30 kn/m and is held by cables so that it is initially compressed 50 mm. knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.