To find the volume of a cylinder, you can use the formula:
\[ \text{Volume} = \pi r^2 h \]
where \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.
-
Find the radius: The radius is half of the diameter. Given a diameter of 8 inches, the radius \( r \) is: \[ r = \frac{\text{diameter}}{2} = \frac{8}{2} = 4 \text{ inches} \]
-
Use the formula to calculate the volume:
- Substitute \( r = 4 \) inches, \( h = 12 \) inches, and \( \pi \approx 3.14 \): \[ \text{Volume} = 3.14 \times (4)^2 \times 12 \]
-
Calculate \( (4)^2 \): \[ (4)^2 = 16 \]
-
Now substitute and calculate the volume: \[ \text{Volume} = 3.14 \times 16 \times 12 \]
-
First calculate \( 3.14 \times 16 \): \[ 3.14 \times 16 = 50.24 \]
-
Now multiply by the height (12): \[ 50.24 \times 12 = 602.88 \]
Therefore, the volume of the cylinder is approximately 602.88 cubic inches.