Answer:
The answer in the procedure
Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=10\ cm[/tex]
[tex]h=9\ cm[/tex]
substitute
[tex]V=\pi (10)^{2}(9)=900\pi\ cm^{2}[/tex]
step 2
Find the volume of the cone
The volume of the cone is equal to
[tex]V=(1/3)\pi r^{2} h[/tex]
we have
[tex]r=10\ cm[/tex]
[tex]h=9\ cm[/tex]
substitute
[tex]V=(1/3)\pi (10)^{2}(9)=300\pi\ cm^{2}[/tex]
therefore
we have
[tex]Vcylinder=900\pi\ cm^{2}[/tex]
[tex]Vcone=300\pi\ cm^{2}[/tex]
so
[tex]Vcylinder=3Vcone[/tex]
