Question

in the volume formula $\frac{1}{3}pi r^{2}h$, the variable $r$ stands for .
the variable $h$ in the volume formula represents the of the cone.
to find the volume of a cone, you need to know the radius and the .
the volume of a cone is always one - third of the volume of a with the same base and height.
when calculating the volume of a cone, you first need to square the .

Explanation:

1. In the volume formula \( \frac{1}{3}\pi r^{2}h \) for a cone, \( r \) is a standard symbol representing the radius of the circular base of the cone.
2. The variable \( h \) in 3 - Dimensional volume formulas (for cone, cylinder, etc.) typically represents the height of the solid.
3. The volume formula \( V=\frac{1}{3}\pi r^{2}h \) requires two geometric measurements of the cone: the radius \( r \) (of the base) and the height \( h \).
4. The relationship between the volume of a cone (\( V_{cone}=\frac{1}{3}\pi r^{2}h \)) and a cylinder (\( V_{cylinder}=\pi r^{2}h \)) with the same base (\( r \)) and height (\( h \)) is that \( V_{cone}=\frac{1}{3}V_{cylinder} \).
5. In the formula \( \frac{1}{3}\pi r^{2}h \), the operation \( r^{2} \) means squaring the radius value.

Answer:

1. radius (of the base of the cone)
2. height
3. height
4. cylinder
5. radius