Volume of Cylinder

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

What does 'diameter' mean in relation to a cylinder?

Back

The diameter is the distance across the circular base of the cylinder, passing through the center.

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)²(10) = 282.6 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the radius and diameter of a cylinder?

Back

The diameter is twice the radius.

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 5 cm and a height of 10 cm?

Back

Volume = π(5)²(10) = 785.4 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of π (pi) in the volume formula of a cylinder?

Back

π is a constant approximately equal to 3.14, used to calculate the area of the circular base.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a volume of 1000 cm³ and a radius of 5 cm, how do you find the height?

Back

Height = Volume / (πr²). For this case, Height = 1000 / (π(5)²) = 12.73 cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a height of 4 m and a diameter of 2 m?

Back

Volume = π(1)²(4) = 12.57 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3