The volume of the cone which has the radius and height same as the cylinder of volume 321 cubic units is 107 cubic units.
A cylinder is defined as a surface made up of all the points on all the parallel lines that pass through a set plane curve in a plane that is not parallel to the provided line.
The volume of the cylinder is given by the formula,
[tex]\text{Volume of cylinder} = \pi r^2 h[/tex]
[tex]321 = \pi r^2 h[/tex]
Now, as it is given that the radius and the height of the cone are the same, therefore, the volume of the cone can be written as,
[tex]\text{Volume of cone} = \dfrac13 \pi r^2 h[/tex]
As we know the value of πr²h, therefore, substitute the value,
[tex]\rm\text{Volume of cone} = \dfrac13 \times 321 = 107\ units^3[/tex]
Thus, the volume of the cone which has the radius and height same as the cylinder of volume 321 cubic units is 107 cubic units.
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