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 cm and a height of 5 cm?

Back

v = π (3)² (5) = 45π cm³ ≈ 141.4 cm³

Front

What is the volume of a cone?

Back

v = (1/3) π r² h

Front

Calculate the volume of a cone with a radius of 2 inches and a height of 6 inches.

Back

v = (1/3) π (2)² (6) = (1/3) π (4)(6) = 8π in³ ≈ 25.1 in³

Front

If a cylinder has a volume of 100 cm³ and a height of 10 cm, what is the area of the base?

Back

Area = Volume / Height = 100 cm³ / 10 cm = 10 cm²

Front

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

Back

Diameter = 2 × Radius

Front

Find the volume of a cylinder with a diameter of 4 m and a height of 10 m.

Back

v = π (2)² (10) = 40π m³ ≈ 125.7 m³

Front

What units are used for measuring volume?

Back

Cubic units (e.g., cm³, m³, in³) are used for measuring volume.

Front

How do you convert cubic centimeters to liters?

Back

1 liter = 1000 cm³.

Front

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

Back

v = π (5)² (3) = 75π ft³ ≈ 235.6 ft³