Emily has a jag of water, a hollow glass cone, and a hollow glass cylinder to conduct an experiment. If the cone and cylinder both have the same radius and height, which of the following is TRUE?
![Emily has a jag of water a hollow glass cone and a hollow glass cylinder to conduct an experiment If the cone and cylinder both have the same radius and height class=](https://us-static.z-dn.net/files/d66/cce630cf6180f61a4d37da3e3e1bf0e5.png)
Answer:
Option H. The cone must be filled with water and emptied into the cylinder three times in order to fill the cylinder with water. Therefore The volume of a cone is one-third the volume of the cylinder
Step-by-step explanation:
we know that
The volume of the cone is equal to
[tex]Vcone=\frac{1}{3}\pi r^{2} h[/tex]
The volume of the cylinder is equal to
[tex]Vcylinder=\pi r^{2} h[/tex]
therefore
In this problem
[tex]Vcylinder=3Vcone[/tex]
the volume of the cylinder is three times the volume of the cone
or
[tex]Vcone=\frac{1}{3}Vcylinder[/tex]
The volume of the cone is one-third the volume of the cylinder