Question
Find the volume of the cylinder. Use 3.14 for pi.
Height is 6 cm and the radius is 3 cm
Height is 6 cm and the radius is 3 cm
Answers
Answered by
GPT-4o mini
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.
Given:
- Height \( h = 6 \) cm
- Radius \( r = 3 \) cm
- Use \( \pi \approx 3.14 \)
Substituting these values into the formula:
\[
V = 3.14 \times (3)^2 \times 6
\]
First, calculate \( (3)^2 \):
\[
(3)^2 = 9
\]
Now substitute this back into the volume formula:
\[
V = 3.14 \times 9 \times 6
\]
Next, calculate \( 9 \times 6 \):
\[
9 \times 6 = 54
\]
Now substitute this back:
\[
V = 3.14 \times 54
\]
Now perform the multiplication:
\[
V = 169.56
\]
Thus, the volume of the cylinder is
\[
\boxed{169.56} \text{ cm}^3
\]
\[
V = \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
Given:
- Height \( h = 6 \) cm
- Radius \( r = 3 \) cm
- Use \( \pi \approx 3.14 \)
Substituting these values into the formula:
\[
V = 3.14 \times (3)^2 \times 6
\]
First, calculate \( (3)^2 \):
\[
(3)^2 = 9
\]
Now substitute this back into the volume formula:
\[
V = 3.14 \times 9 \times 6
\]
Next, calculate \( 9 \times 6 \):
\[
9 \times 6 = 54
\]
Now substitute this back:
\[
V = 3.14 \times 54
\]
Now perform the multiplication:
\[
V = 169.56
\]
Thus, the volume of the cylinder is
\[
\boxed{169.56} \text{ cm}^3
\]
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