Question

20 points Math help - Will mark brainless if correct

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone.

The formula for the volume of a cone can be found using the formula for the volume of a cylinder with the same base and height. The volume of a cylinder can be found using the area of its base. The base is a circle and multiplying its area by the height h of the cylinder will give the volume of the cylinder. A cylinder can be viewed as multiple circular base shapes stacked on top of each other. The formula for the area of the base is _________, where r represents the radius. The formula for the volume of the cylinder is _______ . A cone's volume is ________ of a cylinder. Therefore, the formula for the volume of a cone is ​ 13πr2h ​ .

1/3
1/2
πr^2h
πr^2
1/3πr^2h
1/2πr^2h

Answer 1

The answer to your question is below

Explanation:

The formula to calculate the area of a circle = πr²

The formula to calculate the area of a cylinder = πr²h

The formula to calculate the area of a cone = 1/3πr²h

So, the correct answer to fill in the paragraph are:

1.- πr²

2.- πr²h

3.- 1/3