The Cone

Front

What is a cone?

Back

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

Front

What are the key parts of a cone?

Back

The key parts of a cone include the base (the flat circular surface), the height (the perpendicular distance from the base to the apex), and the slant height (the distance from the apex to any point on the edge of the base).

Front

How do you calculate the volume of a cone?

Back

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

Front

What is the surface area of a cone?

Back

The surface area of a cone is calculated using the formula: SA = πr(r + l), where r is the radius of the base and l is the slant height.

Front

What is the difference between a right cone and an oblique cone?

Back

A right cone has its apex directly above the center of the base, while an oblique cone has its apex off to the side, causing the sides to slant.

Front

What is the relationship between the radius and diameter of a cone?

Back

The diameter of a cone is twice the radius. If r is the radius, then the diameter d = 2r.

Front

What is a circular base in the context of a cone?

Back

A circular base is the flat surface at the bottom of the cone, which is shaped like a circle.

Front

How does the height of a cone affect its volume?

Back

The volume of a cone is directly proportional to its height; increasing the height while keeping the radius constant will increase the volume.

Front

What is the role of the slant height in a cone?

Back

The slant height is the distance from the apex to the edge of the base and is used in calculating the surface area of the cone.

Front

Can a cone be made from a flat shape?

Back

Yes, a cone can be formed by rolling a flat shape, such as a sector of a circle, into a three-dimensional shape.