Question

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

Answer 1

B

Explanation:

Answer 2

Radius = 3 units

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.