Geometry B 9.5 Volume of Pyramid 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 × Radius² × Height

Front

What is the base area of a triangle with a base of 6 cm and a height of 5 cm?

Back

Base Area = (1/2) × base × height = (1/2) × 6 cm × 5 cm = 15 cm²

Front

If the base area of a pyramid is 22.5 in² and the height is 12 in, what is the volume?

Back

Volume = (1/3) × 22.5 in² × 12 in = 90 in³

Front

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

Back

Diameter = 2 × Radius

Front

How do you find the height of a cone if you know the volume and the radius?

Back

Rearrange the volume formula: Height = (3 × Volume) / (π × Radius²)

Front

What is the volume of a cone with a radius of 3 cm and a height of 4 cm?

Back

Volume = (1/3) × π × (3 cm)² × (4 cm) ≈ 37.7 cm³

Front

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

Back

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

Front

If a pyramid has a base area of 45 in² and a height of 5 in, what is its volume?

Back

Volume = (1/3) × 45 in² × 5 in = 75 in³

Front

What is the volume of a pyramid with a base area of 90 cm² and a height of 10 cm?

Back

Volume = (1/3) × 90 cm² × 10 cm = 300 cm³