Volume of Prisms, Pyramids, Spheres, Cones and Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = π r² h

Front

What is the volume of an object?

Back

The amount of space an object occupies, measured in cubic units.

Front

What is the formula for the volume of a cone?

Back

V = ⅓ π r² h

Front

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

Back

V = π (3 cm)² (5 cm) = 45π cm³ ≈ 141.37 cm³

Front

What is the formula for the volume of a prism?

Back

V = B × h, where B is the area of the base and h is the height.

Front

What is the formula for the volume of a pyramid?

Back

V = ⅓ B × h, where B is the area of the base and h is the height.

Front

What is the formula for the volume of a sphere?

Back

V = ⅖ π r³

Front

Calculate the volume of a cone with a radius of 4 cm and a height of 9 cm.

Back

V = ⅓ π (4 cm)² (9 cm) = 48π cm³ ≈ 150.8 cm³

Front

What is the volume of a cylinder with a height of 10 cm and a radius of 2 cm?

Back

V = π (2 cm)² (10 cm) = 40π cm³ ≈ 125.66 cm³

Front

What is the volume of a sphere with a radius of 5 cm?

Back

V = ⅖ π (5 cm)³ = ⅖ π (125 cm³) = 500/3 π cm³ ≈ 523.6 cm³