Question

The volume of a _________ is equal to ___ the volume of a cylinder that has the same base and height. The formula for the volume of a cone is ___________________. ___ stands for the area of the _____ and ___ is the __________ of the cone. Knowing this, we could quickly find the volume of a cone that has the _______ base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is ____ the volume of a cylinder (with the same base and height), we would multiply 9*__ to obtain a volume of ____ cubic cm.

What do I fill into the blanks?

Answer 1

cone,
`(1)/(3)` ,
`(1)/(3) \pi r^(2)h` ,
`\pi r^(2)`, base, h, height, same,
`(1)/(3)` ,
`(1)/(3)` , 3

Explanation:

The volume of a cone is equal to
`(1)/(3)` the volume of a cylinder that has the same base and height. The formula for the volume of a cone is
`(1)/(3)\pi r^(2)h`. stands for the area of the base and h is the height of the cone. Knowing this, we could quickly find the volume of a cone that has the same base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is
`(1)/(3)` the volume of a cylinder (with the same base and height), we would multiply 9*
`(1)/(3)` to obtain a volume of 3 cubic cm.