1. **Problem Statement:** Calculate the surface area of the following 3-D objects to the nearest hundredth. --- a) Cylinder with diameter 15 cm and height 30 cm. 2. **Formula for Cylinder Surface Area:** $$\text{Surface Area} = 2\pi r^2 + 2\pi r h$$ where $r$ is radius and $h$ is height. 3. **Calculate radius:** $$r = \frac{15}{2} = 7.5\text{ cm}$$ 4. **Calculate surface area:** $$2\pi (7.5)^2 + 2\pi (7.5)(30) = 2\pi (56.25) + 2\pi (225) = 2\pi (281.25) = 562.5\pi$$ 5. **Numerical value:** $$562.5 \times 3.1416 = 1767.15\text{ cm}^2$$ --- b) Square pyramid with base edges 9 m and slant height 14.4 m. 6. **Formula for surface area of square pyramid:** $$\text{Surface Area} = b^2 + 2 b l$$ where $b$ is base edge length and $l$ is slant height. 7. **Calculate surface area:** $$9^2 + 2 \times 9 \times 14.4 = 81 + 259.2 = 340.2\text{ m}^2$$ --- c) Cone with radius 37 in and slant height 54 in. 8. **Formula for cone surface area:** $$\text{Surface Area} = \pi r^2 + \pi r l$$ where $r$ is radius and $l$ is slant height. 9. **Calculate surface area:** $$\pi (37)^2 + \pi (37)(54) = \pi (1369) + \pi (1998) = \pi (3367)$$ 10. **Numerical value:** $$3367 \times 3.1416 = 10574.02\text{ in}^2$$ --- d) Sphere with diameter 15 in. 11. **Formula for sphere surface area:** $$\text{Surface Area} = 4 \pi r^2$$ 12. **Calculate radius:** $$r = \frac{15}{2} = 7.5\text{ in}$$ 13. **Calculate surface area:** $$4 \pi (7.5)^2 = 4 \pi (56.25) = 225 \pi$$ 14. **Numerical value:** $$225 \times 3.1416 = 706.86\text{ in}^2$$ --- **Final answers:** a) 1767.15 cm² b) 340.20 m² c) 10574.02 in² d) 706.86 in²