G.GSR.9.1 (MC)

A fire extinguisher is in the shape of a cylinder. The area of the base is [tex]28.26 \, \text{in}^2[/tex] and the height is 18 inches. How many cubic inches of material is in the extinguisher?



Answer :

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].