Question

in the formula $\frac{4}{3}pi r^{3}$ for the volume of a sphere, $r$ represents

the units for measuring volume are typically in

when interpreting data from tables or charts to compare
volumes, it is important to use the correct

the amount of space inside a three - dimensional object is called
its

the formula to calculate the volume of a cylinder uses the radius
of the base and the of the cylinder.

Explanation:

• For the formula of the volume of a sphere \(V = \frac{4}{3}\pi r^{3}\), in geometric formulas involving spheres, \(r\) is a standard symbol for radius.
• Volume measures the amount of space in three - dimensions. Since it is a three - dimensional measure, the units are cubic (e.g., cubic inches \(in^{3}\), cubic meters \(m^{3}\)).
• When comparing volumes from tables or charts, if the units are not consistent (e.g., one volume is in \(cm^{3}\) and another is in \(m^{3}\)), the comparison will be incorrect. So, using the correct units is crucial.
• By definition, the amount of space inside a three - dimensional object is called its volume.
• The formula for the volume of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius of the base and \(h\) is the height of the cylinder.

Answer:

1. radius
2. cubic
3. units
4. volume
5. height