1. **State the problem:** We have a cylinder with height 24 feet and radius 2 yards. We need to find: a) The curved surface area in square feet. b) The gallons of paint needed if 1 gallon covers 12 ft². c) The cost to paint the curved surface if paint costs 15.50 per gallon. 2. **Convert units:** Since height is in feet and radius in yards, convert radius to feet: $$2 \text{ yards} = 2 \times 3 = 6 \text{ feet}$$ 3. **Formula for curved surface area of a cylinder:** $$\text{Curved Surface Area} = 2 \pi r h$$ where $r$ is radius and $h$ is height. 4. **Calculate curved surface area:** $$2 \pi \times 6 \times 24 = 288 \pi \approx 288 \times 3.1416 = 904.78 \text{ ft}^2$$ 5. **Calculate gallons of paint needed:** Each gallon covers 12 ft², so gallons needed: $$\frac{904.78}{12} \approx 75.40 \text{ gallons}$$ 6. **Calculate cost of paint:** Cost per gallon is 15.50, so total cost: $$75.40 \times 15.50 = 1168.70$$ **Final answers:** - a) Curved surface area = $904.78$ ft² - b) Paint needed = $75.40$ gallons - c) Cost = $1168.70$