A cylinder has a volume of 72 cubic inches. What iis the volume of a cone with the same height and radius as the cylinder?

Respuesta :

24, because the volume of a cone with the same radius and height of a cylinder with the same dimensions is always 1/3 the volume of the cylinder.

The volume of a cone with the same height and radius as the cylinder will be 24 cubic inches.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A cylinder has a volume of 72 cubic inches.

Then the volume of a cone with the same height and radius as the cylinder will be

The volume of the cylinder will be

[tex]\rm V_{cylinder} = 72 \ in^3[/tex]

Then the volume of the cone will be

[tex]\rm V_{cone}= \dfrac{1}{3} V_{cylinder}\\\\\\V_{cone}= \dfrac{72}{3} \\\\\\V_{cone} = 24 \ in^3[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2