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

Answer:

cone, $\frac{1}{3}$ , $\frac{1}{3} \pi r^{2}h$ , $\pi r^{2}$, base, h, height, same, $\frac{1}{3}$ , $\frac{1}{3}$ , 3

Step-by-step explanation:

The volume of a cone is equal to $\frac{1}{3}$ the volume of a cylinder that has the same base and height. The formula for the volume of a cone is $\frac{1}{3}\pi r^{2}h$.  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 $\frac{1}{3}$ the volume of a cylinder (with the same base and height), we would multiply 9*$\frac{1}{3}$ to obtain a volume of 3 cubic cm.