Question

True or False. A cylinder that has a height of 5, a radius of 2.3, and a volume of 83.05 units3. Use 3.14 for pi.


T.
True


F.
False

Answer 1

To determine if the statement is true or false, we need to calculate the volume of the cylinder using the formula for the volume of a cylinder:

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

Where:
- \( V \) is the volume
- \( r \) is the radius
- \( h \) is the height
- \( \pi \) is approximately 3.14

Given:
- Height \( h = 5 \)
- Radius \( r = 2.3 \)

Now, plug in the values:

\[
V = 3.14 \times (2.3)^2 \times 5
\]

Calculating \( (2.3)^2 \):

\[
(2.3)^2 = 5.29
\]

Now substitute it back into the volume formula:

\[
V = 3.14 \times 5.29 \times 5
\]

Calculating \( 5.29 \times 5 \):

\[
5.29 \times 5 = 26.45
\]

Now calculate the volume:

\[
V = 3.14 \times 26.45
\]

Calculating that gives:

\[
V \approx 83.131
\]

Since the calculated volume of approximately 83.131 units³ does not exactly equal 83.05 units³, the statement is:

**False**.