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Ipatiy [6.2K]
3 years ago
14

The volume of a cone is 3x* cubic units and its height is x units.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

The radius of a cone is \dfrac{3}{\sqrt{\pi} }\ \text{units}.

Step-by-step explanation:

The formula of the volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h

r is radius of cone

h is height of cone

We have,

Volume of a cone is 3x cubic units and height is x units. Putting the values of volume and height such that,

r=\sqrt{\dfrac{3V}{\pi h}}\\\\r=\sqrt{\dfrac{3\times 3x}{\pi x}} \\\\r=\sqrt{\dfrac{3\times 3}{\pi}}\\\\r=\sqrt{\dfrac{9}{\pi}}\\\\r=\dfrac{3}{\sqrt{\pi} }\ \text{units}

So, the radius of a cone is \dfrac{3}{\sqrt{\pi} }\ \text{units}.

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