To find the volume of the cylindrical storage container, we will use the formula for the volume of a cylinder, which is given by:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height of the cylinder.
- Find the radius: The diameter of the cylinder is 22 cm, so the radius \( r \) is half of the diameter.
\[ r = \frac{22 , \text{cm}}{2} = 11 , \text{cm} \]
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Height of the cylinder: The height \( h \) is given as 30 cm.
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Calculate the volume: Now, we can substitute the values into the volume formula. Using \( \pi \approx 3.14 \):
\[ V = 3.14 \times (11 , \text{cm})^2 \times 30 , \text{cm} \]
Calculating \( (11 , \text{cm})^2 \):
\[ (11 , \text{cm})^2 = 121 , \text{cm}^2 \]
Now substitute:
\[ V = 3.14 \times 121 , \text{cm}^2 \times 30 , \text{cm} \]
Calculating the multiplication:
\[ 121 , \text{cm}^2 \times 30 , \text{cm} = 3630 , \text{cm}^3 \]
Now calculate the final volume:
\[ V = 3.14 \times 3630 , \text{cm}^3 \]
Calculating this gives:
\[ V = 11340.2 , \text{cm}^3 \]
- Round to the nearest tenth:
The volume of bird food that will fit in the container is
\[ \boxed{11340.2 , \text{cm}^3} \]