The height of a cone is twice the radius of its base, What expression represents the volume of the cone, in cubic units? олх? олх? О 2лх ОАлх

Question

asked Jul 6, 2021 132k views

1 Answer

Iravinandan · Answer 1 · 2021-07-11T12:36:21+0000

Answer:

$(2)/(3)\pi r^3 $ cubic units$

Explanation:

Given a cone of base radius, r and perpendicular height, h

$\text{Volume of the cone }=(1)/(3)\pi r^2 h$

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

$\text{Volume of the cone }=(1)/(3)\pi r^2 (2r)\\=(2)/(3)\pi r^3 $ cubic units$

The expression that represents the volume of the cone, in cubic units is
$(2)/(3)\pi r^3 $ cubic units$ .