Volume of Cones/Pyramids/Spheres

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

Calculate the volume of a pyramid with a base area of 24 ft² and a height of 4 ft.

Back

Volume = (1/3) × 24 ft² × 4 ft = 32 ft³

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h

Front

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

Back

Volume = (1/3) × π × (3 cm)² × (5 cm) ≈ 47.12 cm³

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × r³

Front

Calculate the volume of a sphere with a radius of 2 m.

Back

Volume = (4/3) × π × (2 m)³ ≈ 33.51 m³

Front

What does 'h' represent in the volume formulas for cones and pyramids?

Back

'h' represents the height of the figure.

Front

Which measurement is NOT needed to calculate the volume of a pyramid?

Back

The slant height is NOT needed; only the base area and height are required.

Front

If the base area of a pyramid is doubled, how does that affect the volume?

Back

The volume will also double if the height remains the same.

Front

What is the relationship between the height and volume of a cone?

Back

If the height increases while the base area remains constant, the volume increases.