To calculate the total surface area \( A \) of a cylinder, you can use the formula:
\[ A = 2\pi r(h + r) \]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is a constant approximately equal to 3.14.
Given:
- Height \( h = 15 \) feet,
- Radius \( r = 4 \) feet.
Now substitute the values into the formula:
\[ A = 2 \times 3.14 \times 4 \times (15 + 4) \]
Calculating the expression inside the parentheses:
\[ 15 + 4 = 19 \]
Now substitute this back into the formula:
\[ A = 2 \times 3.14 \times 4 \times 19 \]
Calculate \( 2 \times 4 = 8 \):
\[ A = 8 \times 3.14 \times 19 \]
Now, calculate \( 8 \times 19 = 152 \):
\[ A = 3.14 \times 152 \]
Calculating the final multiplication:
\[ A = 477.28 \]
Rounding to the nearest tenth, we have \( 477.3 \) square feet.
Thus, the total surface area of the cylinder is:
477.3 feet²
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