Question

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

Answer 1

The answer to your question is 24ft^3

Answer 2

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

$V=\pi r^2h$

Plugging the value of volume

$72=\pi r^2h$

Divide both sides by 3, we get

$\frac{1}{3}\pi r^2h=\frac{72}{3}\\\\\frac{1}{3}\pi r^2h=24$

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

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

First option is correct.