The volume of a cylinder is approximately 72ft^3. Which is the best approximation of the volume of a cone with the same base and height as the cylinder?

24ft^3
216ft^3
24 π ft^3
216 π ft^3

Respuesta :

The answer to your question is 24ft^3

Answer:

volume of the cone is 24 cubic feet.

First option is correct.

Step-by-step explanation:

Given that volume of a cylinder is approximately 72 cubic feet.

Formula for volume of cylinder is given by

[tex]V=\pi r^2h[/tex]

Plugging the value of volume

[tex]72=\pi r^2h[/tex]

Divide both sides by 3, we get

[tex]\frac{1}{3}\pi r^2h=\frac{72}{3}\\\\\frac{1}{3}\pi r^2h=24[/tex]

The volume of cone is given by [tex]V=\frac{1}{3}\pi r^2h[/tex]

Hence, the volume of the cone is 24 cubic feet.

First option is correct.