A cylinder has a radius of 10cm and a height of 9cm. A cone has a radius of 10cm and a height of 9 cm. Show that the volume of the cylinder is three times the volume of the cone.
Accepted Solution
A:
Answer:The answer in the procedureStep-by-step explanation:step 1Find the volume of the cylinderThe 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 2Find the volume of the coneThe 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] thereforewe have[tex]Vcylinder=900\pi\ cm^{2}[/tex] [tex]Vcone=300\pi\ cm^{2}[/tex] so[tex]Vcylinder=3Vcone[/tex]