Volume of Frustums Flashcards

A frustum is a 3D shape formed when a smaller cone or pyramid is removed from a larger cone or pyramid by cutting parallel to the base.

The volume of a cone is given by the formula: V = (1/3)πr²h, where r is the radius of the base and h is the height.

The volume of a frustum is found by subtracting the volume of the smaller cone from the volume of the larger cone.

1. Calculate the volume of the larger cone. 2. Calculate the volume of the smaller cone. 3. Subtract the smaller cone's volume from the larger cone's volume.

The radius of the smaller cone is proportional to the radius of the larger cone, based on the ratio of their heights.

The height of the smaller cone is the difference between the height of the larger cone and the height of the frustum.

The radii of the larger and smaller cones are proportional to their respective heights.

The volume of a frustum is measured in cubic units, such as cm³ or m³.

Frustums can be seen in objects like lampshades, buckets, and truncated pyramids.

Volume of frustum = (1/3)πR²H - (1/3)πr²h, where R and H are the radius and height of the larger cone, and r and h are the radius and height of the smaller cone.