What is the volume of a cylinder with a radius of 17.8 m and a length of 6.4 m?

Give your answer to 1 decimal place.



Answer :

To find the volume of a cylinder, we use the formula:

[tex]\[ V = \pi r^2 h \][/tex]

Where:
- [tex]\( V \)[/tex] is the volume of the cylinder
- [tex]\( r \)[/tex] is the radius of the base of the cylinder
- [tex]\( h \)[/tex] is the height (or length in this context) of the cylinder
- [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to 3.14159

Given the values:
- Radius [tex]\( r = 17.8 \)[/tex] meters
- Length [tex]\( h = 6.4 \)[/tex] meters

Step-by-step, we proceed as follows:

1. Square the radius:
[tex]\[ r^2 = (17.8)^2 = 317.64 \][/tex]

2. Multiply the squared radius by π:
[tex]\[ \pi r^2 = \pi \times 317.64 \approx 998.507 \][/tex]

3. Multiply the result by the cylinder's length [tex]\( h \)[/tex]:
[tex]\[ V = 998.507 \times 6.4 \approx 6370.446 \][/tex]

So, the volume of the cylinder is approximately [tex]\( 6370.446 \)[/tex] cubic meters.

To give the answer to one decimal place:

4. Round 6370.446 to one decimal place:
[tex]\[ 6370.4 \][/tex]

Therefore, the volume of the cylinder is [tex]\( 6370.4 \)[/tex] cubic meters when rounded to one decimal place.