To find the total volume of 8 cylinders, we first need to find the volume of a single cylinder using the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height (or depth) of the cylinder.
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Calculate the radius: The diameter of the cylinder is 3.72 cm, so the radius \( r \) is half of that:
\[ r = \frac{3.72}{2} = 1.86 , \text{cm} \]
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Height of the cylinder: The height \( h \) is given as 5.35 cm.
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Substitute the values into the volume formula: Using \( \pi = 3.14 \):
\[ V = 3.14 \times (1.86)^2 \times 5.35 \]
Now we calculate \( (1.86)^2 \):
\[ (1.86)^2 = 3.4596 \]
Now substitute this value back into the volume formula:
\[ V = 3.14 \times 3.4596 \times 5.35 \]
Calculate \( 3.14 \times 3.4596 \):
\[ 3.14 \times 3.4596 \approx 10.852784 \]
Now multiply by 5.35:
\[ V \approx 10.852784 \times 5.35 \approx 58.1125 , \text{cm}^3 \]
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Calculate the total volume for 8 cylinders:
\[ \text{Total Volume} = 8 \times V \] \[ \text{Total Volume} \approx 8 \times 58.1125 \approx 464.9 , \text{cm}^3 \]
Finally, rounding this to the nearest hundredth:
\[ \text{Total Volume} \approx 464.94 , \text{cm}^3 \]
Therefore, the answer is C. 464.94 cm³.