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 150.72 cubic inches 150.72 cubic inches 2,411.52 cubic inches 2,411.52 cubic inches 602.88 cubic inches 602.88 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, and
- \( h \) is the height.
Given:
- Height (\( h \)) = 12 inches
- Diameter = 8 inches, thus the radius (\( r \)) is half of the diameter:
\[ r = \frac{8}{2} = 4 \text{ inches} \]
Now substituting the values into the formula:
1. Calculate \( r^2 \):
\[ r^2 = 4^2 = 16 \]
2. Now substitute \( r \), \( h \), and \( \pi \) into the volume formula:
\[ V = 3.14 \times 16 \times 12 \]
3. First, compute \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
4. Now multiply by \( \pi \):
\[ V = 3.14 \times 192 = 602.88 \text{ cubic inches} \]
Thus, the volume of the cylinder is **602.88 cubic inches**.
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.
Given:
- Height (\( h \)) = 12 inches
- Diameter = 8 inches, thus the radius (\( r \)) is half of the diameter:
\[ r = \frac{8}{2} = 4 \text{ inches} \]
Now substituting the values into the formula:
1. Calculate \( r^2 \):
\[ r^2 = 4^2 = 16 \]
2. Now substitute \( r \), \( h \), and \( \pi \) into the volume formula:
\[ V = 3.14 \times 16 \times 12 \]
3. First, compute \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
4. Now multiply by \( \pi \):
\[ V = 3.14 \times 192 = 602.88 \text{ cubic inches} \]
Thus, the volume of the cylinder is **602.88 cubic inches**.
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