Question
orA cylinder has a height of 6 inches and a radius of 3 inches. What is its volume? Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.cubic inches
Answers
GPT-4o mini
The volume \( V \) of a cylinder can be calculated using the formula:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately \( 3.14 \).
Given:
- Radius \( r = 3 \) inches,
- Height \( h = 6 \) inches.
Now, substitute the values into the formula:
\[
V = 3.14 \times (3)^2 \times 6
\]
Calculate \( (3)^2 \):
\[
(3)^2 = 9
\]
Now substitute that back into the equation:
\[
V = 3.14 \times 9 \times 6
\]
Calculate \( 9 \times 6 \):
\[
9 \times 6 = 54
\]
Now, calculate the volume:
\[
V = 3.14 \times 54
\]
Now, perform the multiplication:
\[
V = 169.56
\]
Thus, the volume of the cylinder is approximately:
\[
\boxed{169.56} \text{ cubic inches}
\]
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately \( 3.14 \).
Given:
- Radius \( r = 3 \) inches,
- Height \( h = 6 \) inches.
Now, substitute the values into the formula:
\[
V = 3.14 \times (3)^2 \times 6
\]
Calculate \( (3)^2 \):
\[
(3)^2 = 9
\]
Now substitute that back into the equation:
\[
V = 3.14 \times 9 \times 6
\]
Calculate \( 9 \times 6 \):
\[
9 \times 6 = 54
\]
Now, calculate the volume:
\[
V = 3.14 \times 54
\]
Now, perform the multiplication:
\[
V = 169.56
\]
Thus, the volume of the cylinder is approximately:
\[
\boxed{169.56} \text{ cubic inches}
\]