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,
- \( h \) is the height, and
- \( \pi \) (pi) is approximately 3.14159.
Given:
- Height \( h = 16 \) inches
- Radius \( r = 4 \) inches
Now let's compute the volume:
-
Calculate \( r^2 \): \[ r^2 = 4^2 = 16 \]
-
Substitute \( r^2 \) and \( h \) into the volume formula: \[ V = \pi (16)(16) = \pi (256) \]
-
Now, using the approximate value of \( \pi \): \[ V \approx 3.14159 \times 256 \approx 804.25 \text{ cubic inches} \]
Given the volume from the question is 604.56 cubic inches, we can conclude:
Since \( 804.25 \text{ cubic inches} \) does not equal \( 604.56 \text{ cubic inches} \):
The statement is False.
1 answer