Answer:
To find the maximum volume of the cylinder on a tanker, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height (or length) of the cylinder,
- \( \pi \) is a constant approximately equal to 3.14159.
Given:
- The radius \( r \) is 8.3 feet,
- The length \( h \) is 42.6 feet.
Substituting these values into the formula:
\[ V = \pi (8.3)^2 (42.6) \]
First, calculate \( (8.3)^2 \):
\[ (8.3)^2 = 68.89 \]
Then, multiply by \( \pi \):
\[ \pi \times 68.89 \approx 216.72 \]
Finally, multiply by the length (42.6 feet):
\[ 216.72 \times 42.6 \approx 9,239.59 \]
Therefore, the maximum volume of the cylinder on a tanker is approximately \( 9,239.59 \) cubic feet.
