Volume

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

How do you find the radius of a circle if you know the diameter?

Back

Radius = Diameter / 2.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × r³, where r is the radius.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

If a cone has a diameter of 8 feet, what is its radius?

Back

Radius = 8 feet / 2 = 4 feet.

Front

What is the volume of a cone with a radius of 4 feet and a height of 3 feet?

Back

Volume = (1/3) × π × (4)² × (3) = 50.3 ft³.

Front

What is the relationship between radius and diameter?

Back

The diameter is twice the length of the radius.

Front

How do you calculate the height of a cylinder if you know its volume and radius?

Back

Height = Volume / (π × r²).

Front

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

Back

Volume = (4/3) × π × (5)³ = 523.6 m³.

Front

If a cylinder has a volume of 25.2 ft³ and a radius of 2 feet, what is the height?

Back

Height = 25.2 / (π × (2)²) ≈ 2 ft.