To find the volume of a cylinder, we use the formula:
\(\[ V = \pi r^2 h \]\)
where:
- \(\( V \)\) represents the volume of the cylinder
- \(\( r \)\) represents the radius of the base of the cylinder
- \(\( h \)\) represents the height of the cylinder
- \(\( \pi \)\) is a mathematical constant approximately equal to 3.14159
Given that the radius \(\( r \)\) is 8 feet and the height \(\( h \)\) is 7 feet, we can substitute these values into the formula to get:
\(\[ V = \pi (8^2) \times 7 \]\)
\(\[ V = \pi \times 64 \times 7 \]\)
We calculate the squared radius and multiply by the height:
\(\[ V = 3.14159 \times 64 \times 7 \]\)
\(\[ V ≈ 3.14159 \times 448 \]\)
\(\[ V ≈ 1407.95712 \]\)
Now, we want to round the volume to the nearest tenth:
\(\[ V ≈ 1408.0 \]\)
So, the volume of the cylinder, rounded to the nearest tenth, is approximately 1408.0 cubic feet.
