The formula of a volume of a cylinder:
[tex]V_{cylinder}=\pi r^2H[/tex]
The formula of a volume of a cone:
[tex]V_{cone}=\dfrac{1}{3}\pi r^2H[/tex]
Therefore, if a cone has the same radius and height like a cylinder, then the volume of a cone is three times smaller than the volume of a cylinder.
Therefore we have:
[tex]V_{cone}=\dfrac{1}{3}V_{cylinder}\to V_{cone}=\dfrac{1}{3}(300)=100\ ft^3[/tex]
The formula of a volume of a sphere:
[tex]V_{sphere}=\dfrac{4}{3}\pi R^3[/tex]
If a cone has that same lengths of a radius and a height, then the formula of a volume is:
[tex]V_{cone}=\dfrac{1}{3}\pi r^2r=\dfrac{1}{3}\pi r^3[/tex]
If a cone and a sphere have the same radius, then the volume of a sphere is four times greater than a volume of a cone.
Therefore we have:
[tex]V_{sphere}=4(100)=400\ ft^3[/tex]
