Question

If r = 3 units and x = 6 units, then what is the volume of the cylinder shown above?
A.
54 cubic units
B.
27 cubic units
C.
72 cubic units
D.
56 cubic units

Answer 1

To calculate the volume of a cylinder, we use the formula:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder.

From your question, we have:
- The radius \( r = 3 \) units,
- The height \( h = 6 \) units.

Now we can substitute these values into the volume formula:

\[
V = \pi (3)^2 (6)
\]
\[
V = \pi (9) (6)
\]
\[
V = 54\pi \text{ cubic units}
\]

This means the volume of the cylinder, in terms of \(\pi\), is \(54\pi\) cubic units. If we approximate \(\pi \approx 3.14\), we can calculate:

\[
54 \times 3.14 \approx 169.56 \text{ cubic units}
\]

However, since the answer choices are in whole numbers, it suggests we're meant to leave the answer in terms of \(\pi\).

Therefore, based on the closest option given:

The answer is **A. 54 cubic units** (in terms of \(\pi\)).