Volume of Three Dimensional Figures

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) * π * r² * h, where r is the radius and h is the height.

Front

What does volume measure in a three-dimensional figure?

Back

Volume measures the amount of space inside a three-dimensional figure.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π * r² * h = π * (3)² * (5) = 45π cm³ (approximately 141.37 cm³).

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length * width * height.

Front

What is the volume of a sphere with a radius of 4 cm?

Back

Volume = (4/3) * π * r³ = (4/3) * π * (4)³ = (256/3)π cm³ (approximately 268.08 cm³).

Front

What is the volume of a cube with a side length of 3 cm?

Back

Volume = side³ = 3³ = 27 cm³.

Front

If the radius of a cone is doubled, how does the volume change?

Back

The volume increases by a factor of 4, since volume is proportional to the square of the radius.

Front

What is the approximate volume of a cone with a radius of 5 cm and a height of 10 cm using π = 3.14?

Back

Volume = (1/3) * π * r² * h = (1/3) * 3.14 * (5)² * (10) = 261.67 cm³.

Front

What is the volume of a triangular prism with a base area of 20 cm² and a height of 10 cm?

Back

Volume = base area * height = 20 cm² * 10 cm = 200 cm³.

Front

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

Back

The volume of the cone is one-third the volume of the cylinder.