To find the total surface area \(A\) of a cylinder, you can use the following formula:
\[ A = 2\pi r(h + r) \]
where:
- \(r\) is the radius of the cylinder
- \(h\) is the height of the cylinder
Given:
- radius \(r = 3\) ft
- height \(h = 2\) ft
Now substituting the values:
\[ A = 2\pi (3)(2 + 3) \] \[ A = 2\pi (3)(5) \] \[ A = 2\pi (15) \] \[ A = 30\pi \]
Now, using \( \pi \approx 3.14 \):
\[ A \approx 30 \times 3.14 = 942 \]
However, since we need the total surface area rounded to the nearest hundredth in square feet, we calculate more accurately:
Using \( \pi \approx 3.14159 \):
\[ A \approx 30 \times 3.14159 = 94.2477 \]
So, rounding to the nearest hundredth, the total surface area is:
\[ A \approx 94.25 \text{ ft}^2 \]
Hence, the correct answer is:
94.25 ft².
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