Volume and Surface Area of Cylinders

Front

What is surface area?

Back

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

Front

What is the formula for the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What is volume?

Back

The amount of space an object occupies, measured in cubic units.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the formula for the volume of a cylinder?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

Volume = π(3 cm)²(10 cm) = 282.74 cm³ (rounded to two decimal places).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the total surface area of a cylinder with a radius of 4 cm and a height of 5 cm?

Back

Total Surface Area = 2π(4 cm)(5 cm) + 2π(4 cm)² = 50.27 cm² (rounded to two decimal places).

Front

What units are used to measure volume?

Back

Cubic units, such as cubic centimeters (cm³), cubic meters (m³), or liters.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the relationship between surface area and volume in a cylinder?

Back

Surface area measures the total area covering the cylinder, while volume measures the space inside it.

Front

If a cylinder has a surface area of 100 cm², what can you infer about its dimensions?

Back

The dimensions (radius and height) can vary, but they must satisfy the surface area formula.