What is the radius of the cone?

An oblique cone has a height equal to the diameter of the

base. The volume of the cone is equal to 18x cubic units.

2 units

3 units

6 units

9 units

Radius = 3 units

Step-by-step explanation:

The volume of the cone is equal to [tex]18/pi[/tex] cubic units.

Also given that diameter is equal to height. Hence h = 2r

Volume of cone is given as

[tex]V=/frac{1}{3}/pi r^2h[/tex]

[tex]V=/frac{1}{3}/pi r^2 (2h) [/tex]

Given

[tex]V = 18/pi[/tex]

[tex]18/pi=/frac{2}{3}/pi r^3[/tex]

[tex]18=/frac{2}{3}r^3[/tex]

[tex]r^3=/frac{3}{2} / times 18[/tex]

[tex]r^3=27[/tex]

[tex]r=3[/tex]

And hence radius is 3 units.