Answer:
The volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.
Step-by-step explanation:
Given that,
The volume of a right circular cone is 300 cubic inches
We need to find the volume of a right cylinder that has the same base and height as the cone.
Volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
And volume of a cylinder is given by :
[tex]V'=\pi r'^2 h'[/tex]
If the base and height of cone and cylinder are same, r=r' and h=h'
[tex]\dfrac{V}{V'}=\dfrac{1/3\pi r^2 h}{\pi r'^2h'}\\\\=\dfrac{1/3\pi r^2 h}{\pi r^2h}\\\\\dfrac{V}{V'}=\dfrac{1}{3}\\\\V'=3V[/tex]
So, the volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.
