Question

A farmer has a shed that is in the shape of a right circular cylinder, and the interior needs a fresh count of paint (including the floor and ceiling). If the height of the shed is 40 feet, and the diameter is 15 feet, what is the surface area he needs to paint? Use 3.14 for π

Answer 1

Radius = 15/2 = 7.5 ft. Surface area (including floor and ceiling) = lateral area + 2 bases = 2πrh + 2πr^2 = 2πr(h + r).

Using π = 3.14:
Total = 2(3.14)(7.5)(40 + 7.5) = 6.28 × 7.5 × 47.5 = 2237.25 ft².

So he needs to paint 2237.25 square feet.