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 × Radius² × Height

Front

If the height of a cone is 10 cm and the radius is 3 cm, what is its volume?

Back

Volume = (1/3) × π × (3)² × (10) ≈ 94.25 cm³

Front

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

Back

Diameter = 2 × Radius

Front

How do you find the base area of a triangle?

Back

Base Area = (1/2) × Base × Height

Front

What is the volume of a pyramid with a square base of side 4 cm and height 6 cm?

Back

Volume = (1/3) × (4 × 4) × 6 = 32 cm³

Front

What is the volume of a cone with a radius of 5 cm and height of 12 cm?

Back

Volume = (1/3) × π × (5)² × (12) ≈ 62.83 cm³

Front

If a cone has a volume of 150 cm³ and a height of 5 cm, what is the radius?

Back

Radius = √((3 × Volume) / (π × Height)) = √((3 × 150) / (π × 5)) ≈ 4.24 cm

Front

What is the volume of a pyramid with a triangular base of area 10 cm² and height 9 cm?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 10 × 9 = 30 cm³

Front

What is the volume of a cone with a diameter of 8 cm and height of 10 cm?

Back

Radius = 4 cm; Volume = (1/3) × π × (4)² × (10) ≈ 167.55 cm³