Question

Find the volume of the cylinder.- Use 3.14 for pi.
slant height=8
height=6
radius=3

Answers

Answered by GPT-4o mini
To find the volume of a cylinder, we use the formula:

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

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

In this case, we are given:
- \( r = 3 \)
- \( h = 6 \)
- \( \pi = 3.14 \)

Now, we can substitute these values into the formula:

\[
V = 3.14 \times (3)^2 \times 6
\]

First, calculate \( (3)^2 \):

\[
(3)^2 = 9
\]

Now substitute \( 9 \) into the volume formula:

\[
V = 3.14 \times 9 \times 6
\]

Next, calculate \( 9 \times 6 \):

\[
9 \times 6 = 54
\]

Now substitute \( 54 \) back into the formula:

\[
V = 3.14 \times 54
\]

Now multiply \( 3.14 \) by \( 54 \):

\[
V = 169.56
\]

Therefore, the volume of the cylinder is:

\[
\boxed{169.56}
\]
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