To calculate the surface area (SA) of the cylindrical food storage container, we can use the formula:
\[ SA = 2B + Ph \]
where:
- \( B \) is the area of the base,
- \( P \) is the circumference of the base, and
- \( h \) is the height of the cylinder.
- Calculate the area of the base \( B \): The area of the base (which is a circle) is given by the formula:
\[ B = \pi r^2 \]
In this case, the radius \( r \) is 6 inches. Using \( \pi \approx 3.14 \):
\[ B = 3.14 \times (6^2) = 3.14 \times 36 = 113.04 \text{ square inches} \]
- Calculate the circumference \( P \): The circumference of the base is given by the formula:
\[ P = 2\pi r \]
Using \( r = 6 \) inches:
\[ P = 2 \times 3.14 \times 6 = 2 \times 3.14 \times 6 = 37.68 \text{ inches} \]
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Use the height \( h \): The height \( h \) of the cylinder is given as 11 inches.
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Substitute values into the surface area formula: Now we can substitute \( B \), \( P \), and \( h \) into the surface area formula.
\[ SA = 2B + Ph \]
Calculating \( 2B \):
\[ 2B = 2 \times 113.04 = 226.08 \text{ square inches} \]
Calculating \( Ph \):
\[ Ph = 37.68 \times 11 = 414.48 \text{ square inches} \]
Now, combine \( 2B \) and \( Ph \):
\[ SA = 226.08 + 414.48 = 640.56 \text{ square inches} \]
Finally, round the surface area to the nearest hundredth:
\[ \boxed{640.56} \text{ square inches} \]