Volume of Cylinders and Cones RR

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

How do you find the radius if you know the diameter of a cylinder or cone?

Back

Radius = Diameter / 2.

Front

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

Back

Volume = π(3)²(5) = 45π ≈ 141.4 cm³.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Volume = (1/3)π(4)²(9) = 48π ≈ 150.8 cm³.

Front

If a cylinder has a height of 10 cm and a radius of 2 cm, what is its volume?

Back

Volume = π(2)²(10) = 40π ≈ 125.7 cm³.

Front

What is the relationship between the volumes of a cylinder and a cone with the same base and height?

Back

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

Front

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

Back

1 liter = 1000 cm³.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 15 cm?

Back

Volume = π(5)²(15) = 375π ≈ 1178.1 cm³.

Front

What is the volume of a cone with a diameter of 6 cm and a height of 10 cm?

Back

Radius = 3 cm; Volume = (1/3)π(3)²(10) = 30π ≈ 94.2 cm³.