Difference between revisions of "Calculate the Volume of a Cone"
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*Don't do this while there's still ice cream in the cone. | *Don't do this while there's still ice cream in the cone. | ||
*Make sure the measurements are all in the same type/unit of measurement. | *Make sure the measurements are all in the same type/unit of measurement. | ||
| − | *'''How it Works:''' | + | *'''How it Works:''' |
**In this method, you are basically calculating the volume of the cone as if it was a cylinder. When you calculate the area of the base circle, and multiply it by the height, you are "stacking" the area up until it reaches the height, thus creating a cylinder. And because a cylinder can fit three cones of its matching measurements, you multiply it by one third so that it's the volume of a cone. This provides you with the volume of the cone. | **In this method, you are basically calculating the volume of the cone as if it was a cylinder. When you calculate the area of the base circle, and multiply it by the height, you are "stacking" the area up until it reaches the height, thus creating a cylinder. And because a cylinder can fit three cones of its matching measurements, you multiply it by one third so that it's the volume of a cone. This provides you with the volume of the cone. | ||
*The radius, the height, and the slant height ---slant height is measured down the sloping side of the cone, while the true height is measured through the middle from the tip to the center of the circular base --- form a right triangle. Therefore, they are related by the Pythagorean Theorem: (radius)<sup>2</sup>+ (height)<sup>2</sup> = (slant height)<sup>2</sup> | *The radius, the height, and the slant height ---slant height is measured down the sloping side of the cone, while the true height is measured through the middle from the tip to the center of the circular base --- form a right triangle. Therefore, they are related by the Pythagorean Theorem: (radius)<sup>2</sup>+ (height)<sup>2</sup> = (slant height)<sup>2</sup> | ||
