Question
Volume of Cylinders Quick Check
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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
602.88 cubic inches
602.88 cubic inches
1,808.64 cubic inches
1,808.64 cubic inches
2,411.52 cubic inches
2,411.52 cubic inches
150.72 cubic inches
150.72 cubic inches
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Answers
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.
1. **Find the radius:** The diameter of the cylinder is 8 inches, so the radius \( r \) is half of the diameter:
\[
r = \frac{8}{2} = 4 \text{ inches}
\]
2. **Substitute the values into the formula:**
- Height \( h = 12 \) inches
- Radius \( r = 4 \) inches
- Use \( \pi \) as 3.14
Now plug in the values:
\[
V = 3.14 \times (4^2) \times 12
\]
3. **Calculate \( 4^2 \):**
\[
4^2 = 16
\]
4. **Now substitute back into the volume formula:**
\[
V = 3.14 \times 16 \times 12
\]
5. **Calculate \( 16 \times 12 \):**
\[
16 \times 12 = 192
\]
6. **Now multiply by 3.14:**
\[
V = 3.14 \times 192 = 602.88 \text{ cubic inches}
\]
Thus, the volume of the cylinder is **602.88 cubic inches**. So the correct response is:
**602.88 cubic inches**.
\[
V = \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
1. **Find the radius:** The diameter of the cylinder is 8 inches, so the radius \( r \) is half of the diameter:
\[
r = \frac{8}{2} = 4 \text{ inches}
\]
2. **Substitute the values into the formula:**
- Height \( h = 12 \) inches
- Radius \( r = 4 \) inches
- Use \( \pi \) as 3.14
Now plug in the values:
\[
V = 3.14 \times (4^2) \times 12
\]
3. **Calculate \( 4^2 \):**
\[
4^2 = 16
\]
4. **Now substitute back into the volume formula:**
\[
V = 3.14 \times 16 \times 12
\]
5. **Calculate \( 16 \times 12 \):**
\[
16 \times 12 = 192
\]
6. **Now multiply by 3.14:**
\[
V = 3.14 \times 192 = 602.88 \text{ cubic inches}
\]
Thus, the volume of the cylinder is **602.88 cubic inches**. So the correct response is:
**602.88 cubic inches**.