1. The problem asks to find the volume of a sphere with radius 18 m. 2. The formula for the volume of a sphere is $$V = \frac{4}{3} \pi r^3$$ where $r$ is the radius. 3. Substitute $r = 18$ m into the formula: $$V = \frac{4}{3} \pi (18)^3$$ 4. Calculate the cube of 18: $$18^3 = 18 \times 18 \times 18 = 5832$$ 5. Substitute back: $$V = \frac{4}{3} \pi \times 5832$$ 6. Multiply $\frac{4}{3} \times 5832$: $$\frac{4}{3} \times 5832 = \cancel{\frac{4}{3}} \times 5832 = 4 \times 1944 = 7776$$ 7. So the volume is: $$V = 7776 \pi \text{ cubic meters}$$ --- 8. The problem asks to find the volume of a cylinder with height 10 in and diameter 14 in. 9. The formula for the volume of a cylinder is $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 10. The radius $r$ is half the diameter: $$r = \frac{14}{2} = 7 \text{ in}$$ 11. Substitute $r = 7$ in and $h = 10$ in into the formula: $$V = \pi (7)^2 (10)$$ 12. Calculate $7^2$: $$7^2 = 49$$ 13. Substitute back: $$V = \pi \times 49 \times 10 = 490 \pi$$ 14. So the volume is: $$V = 490 \pi \text{ cubic inches}$$