Answer :
Given :
The volume of a cone is 202.92 cubic units. The cylinder has the same height and radius as the cone.
To Find :
The length of height and radius .
Solution :
Volume of cone is given by :
[tex]V = \dfrac{\pi r^2 h}{3}\\\\V = \dfrac{\pi r^3}{3}\\\\r = \sqrt[3]{\dfrac{3V}{\pi}} \\\\r = \sqrt[3]{\dfrac{3 \times 202.92}{\pi}}\\\\r = 5.79 \ units[/tex]
Hence, this is the required solution.