Volume and Surface Area of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

What does 'r' represent in the volume formula V = πr²h?

Back

The radius of the base of the cylinder.

Front

What does 'h' represent in the volume formula V = πr²h?

Back

The height of the cylinder.

Front

How do you calculate the volume of a cylinder with a radius of 4 in and a height of 5 in?

Back

V = π(4)²(5) = 80π ≈ 251.2 in³.

Front

What is the surface area formula for a cylinder?

Back

SA = 2πrh + 2πr²

Front

How do you calculate the surface area of a cylinder with a radius of 3 in and a height of 7 in?

Back

SA = 2π(3)(7) + 2π(3)² = 42π + 18π = 60π ≈ 188.4 in².

Front

What is surface area?

Back

The sum of all the areas of all the shapes that cover the surface of the object.

Front

If a cylinder has a diameter of 10 in, what is its radius?

Back

The radius is 5 in (diameter divided by 2).

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius.

Front

How many cubic inches are in a cylinder with a diameter of 8 in and a height of 5 in?

Back

753.6 in³.