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. explain it in a easy way

Answer 1

Step 1 — find the radius:
- Diameter = 15 ft so radius r = 15/2 = 7.5 ft.

Step 2 — use the cylinder surface area formula (including floor and ceiling):
- Total area = lateral area + 2 × area of a circle = 2πrh + 2πr^2.

Step 3 — plug in r = 7.5, h = 40, π = 3.14:
- Lateral area = 2πrh = 2 × 3.14 × 7.5 × 40 = 1884 ft².
- Ends (floor + ceiling) = 2πr² = 2 × 3.14 × (7.5)² = 353.25 ft².

Step 4 — add them:
- Total = 1884 + 353.25 = 2237.25 ft².

So the farmer needs to paint 2237.25 square feet (using π = 3.14).