Answer:
3 cones are required to fill the cylinder.
Vcyl = [tex] \pi r^2 h[/tex] and Vcone = [tex]\frac{1}{3} \pi r^2 h[/tex]
The volume of cylinder is 3 times the volume of cone having same base and height.
Step-by-step explanation:
Consider the provided information.
Now we need to find the number cones to fill the cylinder.
The volume of a cone is:
[tex]\frac{1}{3} \pi r^2 h[/tex]
The volume of cylinder is:
[tex] \pi r^2 h[/tex]
To find the the number cones to fill the cylinder simply divide the volume of cylinder by volume of cone as shown:
[tex]\frac{\pi r^2 h}{\frac{1}{3} \pi r^2 h}=3[/tex]
Hence 3 cones are required to fill the cylinder.
The formula for the volume of each shape is:
Vcyl = [tex] \pi r^2 h[/tex] and Vcone = [tex]\frac{1}{3} \pi r^2 h[/tex]
The relationship between the volume of the cylinder and the volume of the cone is: The volume of the cone is 1/3 of a cylinder that has the same base and height or the volume of cylinder is 3 times the volume of cone having same base and height.
