Volume of Pyramids and Cones

Front

What is the formula for the volume of a pyramid?

Back

V = (1/3) * base area * height

Front

What is the formula for the volume of a cone?

Back

V = (1/3) * π * r² * h

Front

What is the difference between a prism and a pyramid?

Back

A prism has two parallel bases and rectangular sides, while a pyramid has a single base and triangular sides that meet at a point.

Front

Calculate the volume of a pyramid with a base area of 50 m² and a height of 12 m.

Back

V = (1/3) * 50 * 12 = 200 m³

Front

What is the volume of a cone with a radius of 3 m and a height of 9 m?

Back

V = (1/3) * π * (3)² * 9 ≈ 28.27 m³

Front

How do you find the base area of a pyramid?

Back

The base area can be found by using the formula for the area of the base shape (e.g., rectangle, triangle).

Front

What is the relationship between the height of a pyramid and its volume?

Back

The volume of a pyramid increases linearly with height; doubling the height doubles the volume if the base area remains constant.

Front

If a cone has a height of 5 cm and a radius of 2 cm, what is its volume?

Back

V = (1/3) * π * (2)² * 5 ≈ 20.94 cm³

Front

What is a real-world example of a pyramid?

Back

The Great Pyramid of Giza is a famous example of a pyramid.

Front

What is a real-world example of a cone?

Back

An ice cream cone is a common example of a cone.