Find the value of h and k

Question

The above diagram shows a wooden block consisting of a cone on top of a cylinder with radius of rcm.Given the slant height of the cone is r / 2 cm and the volume of the cylinder is 96 cm

1. Prove that the total surface area of the block, A cm is given by A = 3/2[r + 128/r]

2. Given that the surface area of the block changes at a rate of 183 cms.find the rate of change of its radius when its radius is 5cm

3. Given the radius of the cylinder increases from 5cm to 5.002c,, find the approximate increase in the surface area of the block

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