Volume of Pyramids and Cones

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) * Base Area * Height

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) * π * r² * h

Front

Calculate the volume of a pyramid with a base area of 24 cm² and a height of 6 cm.

Back

48 cm³

Front

Find the volume of a cone with a radius of 3 cm and a height of 5 cm.

Back

15.71 cm³ (using π ≈ 3.14)

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is 1/3 of the volume of the cylinder.

Front

If the height of a pyramid is doubled, how does that affect its volume?

Back

The volume doubles.

Front

What is the volume of a square pyramid with a base side length of 4 cm and a height of 3 cm?

Back

16 cm³

Front

How do you find the base area of a triangular pyramid?

Back

Base Area = (1/2) * base * height of the triangle.

Front

What is the volume of a cone with a diameter of 10 cm and a height of 7 cm?

Back

Approximately 58.33 cm³ (using π ≈ 3.14)

Front

What is the significance of the height in the volume formula for pyramids and cones?

Back

Height determines how 'tall' the shape is, affecting the overall volume.