Volume of prisms, pyramids, cones, cylinders, spheres

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

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 cylinder?

Back

Volume = π × r² × Height

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × Height

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × r³

Front

How do you find the radius of a sphere if you know the volume?

Back

Rearrange the formula: r = (3V/(4π))^(1/3)

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

Volume = π × (3)² × 10 = 90π cm³ (approximately 282.74 cm³)

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Volume = (1/3) × π × (4)² × 9 = 48π cm³ (approximately 150.8 cm³)

Front

How does the volume of a pyramid compare to a prism with the same base area and height?

Back

The volume of the pyramid is one-third that of the prism.