Question

If r = 12 units and x = 14 units, then what is the volume of the cylinder shown above?
A.
168 pie cubic units
B.
2,016 pie cubic units
C.
8,064 pie cubic units
D.
624 pie cubic units

Answer 1

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, and \( h \) is the height of the cylinder.

Given:
- \( r = 12 \) units
- \( h = x = 14 \) units

Now, substituting the values into the volume formula:

\[
V = \pi (12)^2 (14)
\]
\[
V = \pi (144) (14)
\]
\[
V = \pi (2016)
\]

Thus, the volume of the cylinder is:

\[
V = 2016\pi \text{ cubic units}
\]

Since the answer choices include \( 2,016\pi \) cubic units, the answer is:

**B. 2,016π cubic units**