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The height of a cone is twice the radius of its base.

What expression represents the volume of the cone, in cubic
units?

2/3pix³
4/3pix²
2pix³
4pix³

PLEASE HELP!!!!!!!!

1 Answer

1 vote

Answer:

2/3pix³ or
(2)/(3) \pi x^3\\

Explanation:

This problem brothers on the mensuration of solid shapes, a cone.

we know that the expression for the volume of a cone is


volume= (1)/(3) \pi r^2h

let the radius r of the cone be=
x

and the height h is =
2x

we can now solve the expression that represents the volume of the cone, in cubic units.


volume= (1)/(3) \pi *x*2x\\\volume= (1)/(3) \pi *2x^3\\\volume= (2)/(3) \pi x^3\\

User Menrfa
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