Volume of Cylinders, Cones and Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

What is the formula for the volume of a cone?

Back

V = \frac{1}{3}πr²h

Front

What is the formula for the volume of a sphere?

Back

V = \frac{4}{3}πr³

Front

What value do we use to approximate π?

Back

π ≈ 3.14

Front

If a cylinder has a radius of 3 ft and a height of 5 ft, what is its volume?

Back

V = π(3)²(5) = 45π ≈ 141.37 ft³

Front

If a cone has a radius of 4 in and a height of 9 in, what is its volume?

Back

V = \frac{1}{3}π(4)²(9) = 48π ≈ 150.8 in³

Front

How does the volume of a cone compare to the volume of a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

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

Back

Diameter = 2 × Radius

Front

How do you convert the volume of a cylinder from cubic inches to cubic feet?

Back

Divide the volume in cubic inches by 1728.

Front

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

Back

V = \frac{4}{3}π(5)³ = \frac{500}{3}π ≈ 523.6 cm³