To find the volume of a cylinder, you can use the formula:
\(\[ V = \pi r^2 h \]\)
where \(\( V \)\) is the volume, \(\( r \)\) is the radius of the base of the cylinder, \(\( h \)\) is the height of the cylinder, and \(\( \pi \)\) (Pi) is a constant approximately equal to 3.14159.
Given:
- The radius (\(\( r \)\)) of the cylinder's base is 5 feet.
- The height (\(\( h \)\)) of the cylinder is 17 feet.
Let's calculate the volume step by step:
1. Square the radius:
\(\[ r^2 = 5^2 = 25 \]\)
2. Multiply the squared radius by the height:
\(\[ 25 \times 17 = 425 \]\)
3. Multiply this result by \(\( \pi \)\) to get the volume:
\(\[ V = \pi \times 425 \approx 3.14159 \times 425 \]\)
4. Calculate the numerical result:
\(\[ V \approx 1335.39825 \]\)
Lastly, to round the volume to the nearest tenths place:
\(\[ V \approx 1335.4 \]\)
So, the volume of the cylinder to the nearest tenths place is:
\(\[ V = 1335.4 \, \text{cubic feet} \]\)
