Question

Describe an informal argument for the volume of a cone. If you know the volume of a cylinder, what must you do to find the volume of a cone that has the same height and base radius?(1 point)

You need to multiply the volume of the cylinder by 3.

You need to add 3 cubic units to the volume of the cylinder.

You need to divide the volume of the cylinder by 13 .

You need to multiply the volume of the cylinder by 13 .

Answer 1

Informal argument: if you fill a cylinder with a liquid and pour it into identical cones that share the same base and height, you find it takes three cones to hold all the liquid from one cylinder. So the cone holds one third of the cylinder.

Therefore you must multiply the cylinder’s volume by 1/3 (equivalently, divide the cylinder’s volume by 3).