Question
The volume of this cylinder is 1,334.5 cubic inches. What is the radius?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
r
17 in
r ≈
inches
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
r
17 in
r ≈
inches
Answers
GPT-4o mini
To find the radius of a cylinder given its volume, we can use the formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately \( 3.14 \).
In this case, you have provided the volume \( V = 1334.5 \) cubic inches. However, you haven't provided the height of the cylinder. To find the radius, the height must be known.
Assuming you have a height \( h \), you can rearrange the formula to solve for the radius \( r \):
\[
r^2 = \frac{V}{\pi h}
\]
\[
r = \sqrt{\frac{V}{\pi h}}
\]
Now let's plug in the values assuming some height \( h \):
1. If you want to determine the radius for a known height, please provide that value.
2. If you don't have a specific height in mind, we can compute the radius for any assumed height.
Let's assume for this calculation that \( h = 10 \) inches (you can replace this with the actual height if you have it):
1. Calculate \( \frac{V}{\pi h} \):
\[
\frac{V}{\pi h} = \frac{1334.5}{3.14 \times 10} = \frac{1334.5}{31.4} \approx 42.5
\]
2. Now find \( r \):
\[
r = \sqrt{42.5} \approx 6.52 \text{ inches}
\]
Please provide the height if you need the correct calculation based on that. Otherwise, using \( h = 10 \) gives \( r \approx 6.52\) inches.
\[
V = \pi r^2 h
\]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately \( 3.14 \).
In this case, you have provided the volume \( V = 1334.5 \) cubic inches. However, you haven't provided the height of the cylinder. To find the radius, the height must be known.
Assuming you have a height \( h \), you can rearrange the formula to solve for the radius \( r \):
\[
r^2 = \frac{V}{\pi h}
\]
\[
r = \sqrt{\frac{V}{\pi h}}
\]
Now let's plug in the values assuming some height \( h \):
1. If you want to determine the radius for a known height, please provide that value.
2. If you don't have a specific height in mind, we can compute the radius for any assumed height.
Let's assume for this calculation that \( h = 10 \) inches (you can replace this with the actual height if you have it):
1. Calculate \( \frac{V}{\pi h} \):
\[
\frac{V}{\pi h} = \frac{1334.5}{3.14 \times 10} = \frac{1334.5}{31.4} \approx 42.5
\]
2. Now find \( r \):
\[
r = \sqrt{42.5} \approx 6.52 \text{ inches}
\]
Please provide the height if you need the correct calculation based on that. Otherwise, using \( h = 10 \) gives \( r \approx 6.52\) inches.