Volume of Cylinders and Cones

Front

What is the formula for the volume of a cylinder?

Back

v = π r² h

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

v = π (3)² (5) = 45π ≈ 141.4 in³

Front

What is the volume of a cone?

Back

v = (1/3) π r² h

Front

How do you find the area of the base of a cylinder?

Back

Area = π r²

Front

If a cylinder has a volume of 36 cubic inches and a height of 9 inches, what is the area of the base?

Back

Area = 12 in²

Front

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

Back

Diameter = 2 × Radius

Front

How do you convert diameter to radius?

Back

Radius = Diameter / 2

Front

What is the volume of a barrel with a diameter of 1½ feet and a height of 4 feet?

Back

v = π (0.75)² (4) = 7.1 ft³

Front

What units are used for measuring volume?

Back

Cubic units (e.g., in³, ft³, cm³)

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object; surface area measures the total area of the object's surface.