Volume of Cones Flashcards

The volume of a cone is given by the formula V = 1/3 × π × r² × h, where r is the radius of the base and h is the perpendicular height.

'r' represents the radius of the circular base of the cone.

'h' represents the perpendicular height of the cone, measured from the base to the tip.

The volume of a cone is 1/3 of a cylinder with the same base area and height because of the way the cone's shape tapers to a point.

The volume of a cone is measured in cubic units, such as cm³, m³, etc.

The base area of a cone is calculated using the formula A = π × r², where r is the radius of the base.

If the radius of a cone is doubled, the volume increases by a factor of 4, as the radius is squared in the formula.

If the height of a cone is doubled, the volume also doubles, as height is directly proportional to the volume.

Using the formula V = 1/3 × π × r² × h, the volume is 1/3 × π × 3² × 6 = 18π cm³.

Examples include ice cream cones, traffic cones, and party hats, all of which have a circular base and taper to a point.