Question
Find the volume of the cylinder below. Use the approximation of 3.14 for pi.
(the cylinder is slanted to the right) 5 cm is the radius and 15 cm is the edge of the top part to the bottom.
(the cylinder is slanted to the right) 5 cm is the radius and 15 cm is the edge of the top part to the bottom.
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,
- \(h\) is the height of the cylinder.
In this case, you provided:
- Radius (\(r\)) = 5 cm
- The height of the cylinder (\(h\)) = 15 cm
Using \( \pi \approx 3.14 \):
1. Calculate \(r^2\):
\[
r^2 = 5^2 = 25 \text{ cm}^2
\]
2. Now plug the values into the volume formula:
\[
V = 3.14 \times 25 \times 15
\]
3. First calculate \(25 \times 15\):
\[
25 \times 15 = 375
\]
4. Now calculate \(V\):
\[
V = 3.14 \times 375
\]
\[
V = 1177.5 \text{ cm}^3
\]
Thus, the volume of the cylinder is approximately **1177.5 cm³**.
\[
V = \pi r^2 h
\]
where:
- \(V\) is the volume,
- \(r\) is the radius,
- \(h\) is the height of the cylinder.
In this case, you provided:
- Radius (\(r\)) = 5 cm
- The height of the cylinder (\(h\)) = 15 cm
Using \( \pi \approx 3.14 \):
1. Calculate \(r^2\):
\[
r^2 = 5^2 = 25 \text{ cm}^2
\]
2. Now plug the values into the volume formula:
\[
V = 3.14 \times 25 \times 15
\]
3. First calculate \(25 \times 15\):
\[
25 \times 15 = 375
\]
4. Now calculate \(V\):
\[
V = 3.14 \times 375
\]
\[
V = 1177.5 \text{ cm}^3
\]
Thus, the volume of the cylinder is approximately **1177.5 cm³**.
centimeters or cubic centimeters for the answer?
GPT-4o mini
The volume of the cylinder should be expressed in cubic centimeters (cm³), as volume is a measure of three-dimensional space.
So the volume calculated for the cylinder is **1177.5 cm³**.
So the volume calculated for the cylinder is **1177.5 cm³**.
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