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!!!!!!!!

Question

asked Mar 8, 2021 184k views

1 Answer

Menrfa · Answer 1 · 2021-03-14T19:39:21+0000

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=

and the height h is =

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

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