Volume and Surface Area of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The radius of the base of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The height of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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).

Tags

CCSS.7.G.B.4

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius.

Tags

CCSS.7.G.B.4

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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3