Question

the formula for finding the volume of a ________ is $v = \frac{1}{3}\pi r^2 h$.
the distance from the center to the edge of the circular base of a cone is called the ________.
cavalieris principle states that if two solids have the same height and every ________ at the same height is equal, then the two solids have the same volume.
the measurement of the distance across the circular base of a cone is called the ________.
a ______ is a three - dimensional shape with a circular base and a pointed apex.

Explanation:

Sub - Question 1

The formula \( V=\frac{1}{3}\pi r^{2}h \) is the volume formula for a cone. We identify the shape by matching the formula to the known volume formulas of 3 - D shapes.

The distance from the center of a circle (the circular base of a cone) to its edge is defined as the radius. We recall the definition of radius in the context of a circle (the base of the cone here).

Cavalieri's Principle states that if two solids have the same height and every cross - section at the same height has equal area (or is equal in measure), then their volumes are equal. We recall the statement of Cavalieri's Principle.

Answer:

cone

Sub - Question 2