Volume of a Cylinder

Front

What is the formula for the volume of a cylinder?

Back

V = π r² h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

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 of a cylinder?

Back

The height of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

V = π (3)² (5) = 45π cm³ ≈ 141.37 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

If the diameter of a cylinder is 10 ft, what is the radius?

Back

Radius = Diameter / 2 = 10 ft / 2 = 5 ft.

Tags

CCSS.7.G.B.4

Front

How do you convert the diameter of a cylinder to radius?

Back

Divide the diameter by 2.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cylinder with a radius of 4 m and a height of 10 m?

Back

V = π (4)² (10) = 160π m³ ≈ 502.65 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the unit of measurement for volume in the metric system?

Back

Cubic centimeters (cm³) or cubic meters (m³).

Tags

CCSS.3.MD.A.2

Front

What is the unit of measurement for volume in the imperial system?

Back

Cubic feet (ft³) or gallons.

Tags

CCSS.3.MD.A.2