To calculate the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
Where:
- \( r \) is the radius
- \( h \) is the height
Given:
- Radius \( r = 3 \) meters
- Height \( h = 9 \) meters
Plugging in the values:
- Calculate the surface area using the exact formula:
\[ \text{Surface Area} = 2\pi (3)(9 + 3) = 2\pi (3)(12) = 2\pi (36) = 72\pi \ \text{m}^2 \]
Thus, the exact answer is:
\[ \text{Exact answer: } 72\pi \ \text{m}^2 \]
- Now, using \( \pi \approx 3.14 \) to find the approximate surface area:
\[ \text{Approximate Surface Area} = 72 \times 3.14 = 226.08 \ \text{m}^2 \]
Rounded to the nearest hundredth, the approximate answer is:
\[ \text{Approximate answer: } 226.08 \ \text{m}^2 \]
Final answers:
- Exact answer: \( 72\pi \ \text{m}^2 \)
- Approximate answer: \( 226.08 \ \text{m}^2 \)