Surface Area in terms of radius,r !?!

Question

A building is in the shape of a cylinder with a hemisphere on top with the same radius. If the volume of the building is 1,000 cubic meters, write the surface area of the building in terms of its radius, r. Thank you!!

Answer 1

Volume v = 2/3πr³ + πr²h = 1000; h = (1000 - 2/3πr³)/(πr²)

Surface area A = 2πr² + 2(1000 - 2/3πr³)/r