Question: Use the following right cylinder for problems 13 and 14.
13. Find the total surface area. Round to 2 d.p.
14. Find the volume. Round to 2 d.p.
Right cylinder graphic at center-right: height = 8 m, radius r = 2.5 m.
Select one:
204.10 m²
125.60 m²
164.85 m²
145.23 m²
1. **State the problem:** We need to find the total surface area of a right cylinder with height $h=8$ m and radius $r=2.5$ m, using $\pi=3.14$.
2. **Formula for total surface area of a cylinder:**
$$\text{Total Surface Area} = 2\pi r^2 + 2\pi rh$$
This formula includes the areas of the two circular bases ($2\pi r^2$) and the curved surface area ($2\pi rh$).
3. **Calculate the area of the two bases:**
$$2 \times 3.14 \times (2.5)^2 = 2 \times 3.14 \times 6.25 = 2 \times 19.625 = 39.25$$
4. **Calculate the curved surface area:**
$$2 \times 3.14 \times 2.5 \times 8 = 2 \times 3.14 \times 20 = 2 \times 62.8 = 125.6$$
5. **Add both areas to get total surface area:**
$$39.25 + 125.6 = 164.85$$
6. **Round to 2 decimal places:** The total surface area is $164.85$ m².
**Final answer:** $164.85$ m², which matches the option 164.85 m².