Question
Find the volume of the cylinder.- Use 3.14 for pi.
slant height=8
height=6
radius=3
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:
\[
\boxed{169.56}
\]
\[
V = \pi r^2 h
\]
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:
\[
\boxed{169.56}
\]
There are no human answers yet. A form for humans to post answers is coming very soon!