To determine the volume of a cylindrical object, you need to use the formula:
[tex]\[ V = \text{base area} \times \text{height} \][/tex]
Here, the problem provides us with the necessary values:
- The area of the base (A) is [tex]\( 28.26 \, \text{in}^2 \)[/tex]
- The height (h) is [tex]\( 18 \, \text{inches} \)[/tex]
Let’s go through the steps to find the volume:
1. Identify the given measurements:
- Base area [tex]\( A = 28.26 \, \text{in}^2 \)[/tex]
- Height [tex]\( h = 18 \, \text{in} \)[/tex]
2. Apply the volume formula for a cylinder:
[tex]\[ V = A \times h \][/tex]
3. Substitute the given values into the formula:
[tex]\[ V = 28.26 \, \text{in}^2 \times 18 \, \text{in} \][/tex]
4. Perform the multiplication:
[tex]\[ V = 508.68 \, \text{in}^3 \][/tex]
Therefore, the volume of the fire extinguisher, which is the amount of material it contains, is [tex]\( 508.68 \, \text{cubic inches} \)[/tex].
