1. **Problem 8: Find the volume of a right circular cylinder with diameter 8 cm and height 18 cm.** 2. The formula for the volume of a cylinder is $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. Since the diameter is 8 cm, the radius is half of that: $$r = \frac{8}{2} = 4 \text{ cm}$$. 4. Substitute the values into the formula: $$V = \pi \times 4^2 \times 18 = \pi \times 16 \times 18$$ 5. Calculate the multiplication: $$V = \pi \times 288 = 288\pi \text{ cm}^3$$ 6. **Answer for Question 8:** $288\pi$ cm³. 7. **Problem 9: Find the area of a trapezoid with height 7.5 ft and bases 7.5 ft and 15 ft.** 8. The formula for the area of a trapezoid is $$A = \frac{1}{2} (b_1 + b_2) h$$ where $b_1$ and $b_2$ are the lengths of the two bases and $h$ is the height. 9. Substitute the given values: $$A = \frac{1}{2} (7.5 + 15) \times 7.5$$ 10. Simplify inside the parentheses: $$A = \frac{1}{2} \times 22.5 \times 7.5$$ 11. Multiply: $$A = \frac{1}{2} \times 168.75$$ 12. Simplify the fraction: $$A = 84.375 \text{ ft}^2$$ 13. **Answer for Question 9:** $84.375$ ft².