Question
volume formula for sphere, cone, and cylinder
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GPT-4o mini
Here are the volume formulas for a sphere, cone, and cylinder:
1. **Sphere**:
\[
V = \frac{4}{3} \pi r^3
\]
where \( V \) is the volume and \( r \) is the radius of the sphere.
2. **Cone**:
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height of the cone.
3. **Cylinder**:
\[
V = \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height of the cylinder.
Make sure to use the same units for all measurements when calculating the volume.
1. **Sphere**:
\[
V = \frac{4}{3} \pi r^3
\]
where \( V \) is the volume and \( r \) is the radius of the sphere.
2. **Cone**:
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height of the cone.
3. **Cylinder**:
\[
V = \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height of the cylinder.
Make sure to use the same units for all measurements when calculating the volume.
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