Question
If a drum has a height of 8 in, and a length of 14 in. What is the volume
Answers
GPT-4o mini
To find the volume of a cylindrical drum, you can use the formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height.
From your description, it seems that the "length" refers to the diameter of the drum. If the length is 14 inches, then the radius \( r \) is half of that:
\[
r = \frac{14}{2} = 7 \text{ inches}
\]
Given the height \( h \) is 8 inches, you can now substitute the values into the volume formula:
\[
V = \pi (7)^2 (8)
\]
\[
V = \pi (49) (8)
\]
\[
V = \pi (392)
\]
Thus,
\[
V \approx 1231.5 \text{ cubic inches} \quad (\text{using } \pi \approx 3.14)
\]
So the volume of the drum is approximately **1231.5 cubic inches**.
\[
V = \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height.
From your description, it seems that the "length" refers to the diameter of the drum. If the length is 14 inches, then the radius \( r \) is half of that:
\[
r = \frac{14}{2} = 7 \text{ inches}
\]
Given the height \( h \) is 8 inches, you can now substitute the values into the volume formula:
\[
V = \pi (7)^2 (8)
\]
\[
V = \pi (49) (8)
\]
\[
V = \pi (392)
\]
Thus,
\[
V \approx 1231.5 \text{ cubic inches} \quad (\text{using } \pi \approx 3.14)
\]
So the volume of the drum is approximately **1231.5 cubic inches**.