Question
Question Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. Use 3.14 for pi.(1 point) Responses 1,808.64 cubic inches 1,808.64 cubic inches 2,411.52 cubic inches 2,411.52 cubic inches 602.88 cubic inches 602.88 cubic inches 150.72 cubic inches
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,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- Height (\( h \)) = 12 inches
- Diameter = 8 inches, hence the radius (\( r \)) = diameter / 2 = 8 inches / 2 = 4 inches.
Now, substitute the values into the formula:
\[
V = 3.14 \times (4^2) \times 12
\]
\[
V = 3.14 \times 16 \times 12
\]
\[
V = 3.14 \times 192
\]
\[
V = 602.88 \text{ cubic inches}
\]
Thus, the volume of the cylinder is **602.88 cubic inches**.
The correct response is:
**602.88 cubic inches**.
\[
V = \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- Height (\( h \)) = 12 inches
- Diameter = 8 inches, hence the radius (\( r \)) = diameter / 2 = 8 inches / 2 = 4 inches.
Now, substitute the values into the formula:
\[
V = 3.14 \times (4^2) \times 12
\]
\[
V = 3.14 \times 16 \times 12
\]
\[
V = 3.14 \times 192
\]
\[
V = 602.88 \text{ cubic inches}
\]
Thus, the volume of the cylinder is **602.88 cubic inches**.
The correct response is:
**602.88 cubic inches**.