Question

read the sentences below, filling in the blanks with items from this list. each item will be used once.
can
diameter
doubles
radius
cross - section
cone
decreases
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.
if the height of a cone is doubled while the radius stays the same, the volume of the cone also ______.
as we move up from the base of a cone towards the apex, the cross - sectional area ______.

Explanation:

Each blank is filled by matching the definition, formula, or property to the correct term from the provided list, ensuring each term is used once.

Answer:

1. The formula for finding the volume of a cone is $V = \frac{1}{3}\pi r^2 h$.
2. The distance from the center to the edge of the circular base of a cone is called the radius.
3. Cavalieri's Principle states that if two solids have the same height and every cross-section at the same height is equal, then the two solids have the same volume.
4. The measurement of the distance across the circular base of a cone is called the diameter.
5. A cone is a three-dimensional shape with a circular base and a pointed apex.
6. If the height of a cone is doubled while the radius stays the same, the volume of the cone also doubles.
7. As we move up from the base of a cone towards the apex, the cross-sectional area decreases.