Volume of Cylinder and Cones

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

What does 'r' represent in the volume formula of a cylinder?

Back

The radius of the base of the cylinder.

Front

What is the height in the volume formula of a cylinder?

Back

The vertical distance from the base to the top of the cylinder.

Front

How do you calculate the volume of a cone?

Back

V = (1/3)πr²h

Front

What does 'h' represent in the volume formula of a cone?

Back

The height of the cone from the base to the apex.

Front

What is the difference between radius and diameter?

Back

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

Front

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

Back

V = π(3)²(5) = 45π ≈ 141.4 inches³.

Front

What is the volume of a cylinder with a diameter of 10 feet and a height of 4 feet?

Back

V = π(5)²(4) = 100π ≈ 314.2 feet³.

Front

How do you find the volume of a sphere?

Back

V = (4/3)πr³.

Front

What is 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) = 8π ≈ 25.1 inches³.