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The volume of a cone is 202.92 cubic units. If a cylinder has the same height and radius as the cone what is volume in cubic units

Sagot :

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.

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