Flashcard 1 : 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 × Height

Front

Calculate the volume of a rectangular pyramid with a base area of 20 in² and a height of 10 in.

Back

Volume = (1/3) × 20 in² × 10 in = 66.67 in³

Front

If a cone has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

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

Front

What is the relationship between the volume of a pyramid and a prism with the same base and height?

Back

The volume of the pyramid is 1/3 of the volume of the prism.

Front

Find the volume of a cone with a diameter of 10 cm and a height of 12 cm.

Back

Volume = (1/3) × π × (5 cm)² × (12 cm) ≈ 262.34 cm³

Front

What is the volume of a square pyramid with a base side of 4 m and a height of 9 m?

Back

Volume = (1/3) × (4 m × 4 m) × 9 m = 48 m³

Front

How does the volume of a cone change if the height is doubled while keeping the radius constant?

Back

The volume doubles because volume is directly proportional to height.

Front

What is the volume of a cone with a radius of 2 in and a height of 3 in?

Back

Volume = (1/3) × π × (2 in)² × (3 in) ≈ 12.57 in³

Front

If the base area of a pyramid is 30 cm² and its height is 4 cm, what is its volume?

Back

Volume = (1/3) × 30 cm² × 4 cm = 40 cm³