Measuring Lateral Area and Volume of a Cone

After finding a three dimensional cone in the art room, I decided to put it to use to find its circumference and area, as well as use Theorem 12-7 and 12-8 to find its lateral area and volume.

First, I began by measuring the cone's height (h) and slant height (l).

Next, I measured the radius, and used that to calculate both the circumference of the base and the area.

After collecting all the needed information, I put it to use to calculate lateral area using Theorem 12-7, and volume using Theorem 12-8.

Theorem 12-7: The lateral area of a cone equals half the circumference of the base times the slant height.

Theorem 12-8: The volume of a cone equals one third the area of the base times the height of the cone.

(~RO5)