Cylinders- Volume

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)²(5) = 45π cm³, approximately 141.37 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: r = √(Volume / (πh)).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 10 m and a height of 2 m?

Back

Volume = π(5)²(2) = 50π m³, approximately 157.08 m³.

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 radius is half of the diameter: r = diameter / 2.

Tags

CCSS.7.G.B.4

Front

How do you convert the volume of a cylinder from cubic inches to cubic centimeters?

Back

Multiply the volume in cubic inches by 16.387 to convert to cubic centimeters.

Tags

CCSS.5.MD.A.1

Front

If a cylinder has a height of 10 cm and a volume of 314 cm³, what is the radius?

Back

Using the formula: r = √(Volume / (πh)) = √(314 / (π * 10)) ≈ 3.14 cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 4 inches and a height of 3 inches?

Back

Volume = π(4)²(3) = 48π in³, approximately 150.8 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = π(2)²(5) = 20π m³, approximately 62.83 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3