Volume: Cylinder, Cone, Sphere

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

What is the difference between radius and diameter?

Back

The radius is half the diameter; the diameter is twice the radius.

Front

If the radius of a cylinder is 2 cm and the height is 5 cm, what is the volume?

Back

Volume = π(2)²(5) = 20π ≈ 62.83 cm³.

Front

If the radius of a cone is 3 cm and the height is 4 cm, what is the volume?

Back

Volume = (1/3)π(3)²(4) = 12π ≈ 37.68 cm³.

Front

If the radius of a sphere is 6 cm, what is the volume?

Back

Volume = (4/3)π(6)³ = 144π ≈ 452.39 cm³.

Front

What is the approximate value of π used in calculations?

Back

π is approximately 3.14.

Front

How do you convert the volume of a cylinder from cubic centimeters to liters?

Back

1 liter = 1000 cm³; divide the volume in cm³ by 1000.

Front

What is the volume of a cylinder with a radius of 3 ft and a height of 4 ft?

Back

Volume = π(3)²(4) = 36π ≈ 113.10 ft³.