MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

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 cylinderStep-by-step explanation:we know thatThe 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]thereforeIn this problem[tex]Vcylinder=3Vcone[/tex]the volume of the cylinder is three times the volume of the coneor[tex]Vcone=\frac{1}{3}Vcylinder[/tex]The volume of the cone is one-third the volume of the cylinder