Volume of cylinders

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 'π' represent in the volume formula?

Back

π (pi) is a mathematical constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Tags

CCSS.HSG.GMD.A.1

Front

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

Back

Volume = π(3 cm)²(5 cm) = 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 in a cylinder?

Back

The diameter is twice the radius: Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

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

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

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

Back

Volume = π(4 cm)²(10 cm) = 160π cm³ ≈ 502.65 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a height of 7 in and a radius of 3 in?

Back

Volume = π(3 in)²(7 in) = 63π in³ ≈ 197.82 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the height of a cylinder is doubled, how does that affect the volume?

Back

The volume of the cylinder also doubles, since volume is directly proportional to height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 2 cm?

Back

Volume = π(5 cm)²(2 cm) = 50π cm³ ≈ 157.08 cm³.

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 volume and height?

Back

Rearrange the volume formula: Radius = √(Volume / (π × Height)).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3