Answer:
The radius of the cone is 14.99 units.
Step-by-step explanation:
We have,
Volume of cone, V = 7300 cubic units
Height of the cone, H = 31 units
It is required to find the missing dimension. It means we need to find the radius of the cone say R.
The volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi R^2H[/tex]
R is radius
[tex]R=\sqrt{\dfrac{3V}{\pi H}} \\\\R=\sqrt{\dfrac{3\times 7300}{3.14\times 31}} \\\\R=14.99\ \text{units}[/tex]
So, the radius of the cone is 14.99 units.