The total surface area \( A \) of a cylinder can be calculated using the formula:
\[ A = 2\pi r(h + r) \]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.
Given:
- Height \( h = 15 \) feet,
- Radius \( r = 4 \) feet,
- Use \( \pi = 3.14 \).
- Substitute the values into the formula:
\[ A = 2 \times 3.14 \times 4 \times (15 + 4) \]
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Calculate \( (15 + 4) = 19 \).
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Now plug this value back into the equation:
\[ A = 2 \times 3.14 \times 4 \times 19 \]
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Calculate \( 2 \times 3.14 = 6.28 \).
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Then calculate \( 6.28 \times 4 = 25.12 \).
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Finally, calculate \( 25.12 \times 19 \):
\[ A = 25.12 \times 19 = 477.28 , \text{feet}^2 \]
Rounding to the nearest tenth gives:
\[ A \approx 477.3 , \text{feet}^2 \]
Thus, the total surface area of the cylinder is:
\[ \boxed{477.3 , \text{feet}^2} \]