Volume of a 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 π (pi) 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 the radius of a cylinder is 5 cm and the height is 10 cm, what is the volume?

Back

Volume = π(5 cm)²(10 cm) = 250π cm³ ≈ 785 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does 'r' stand for in the volume formula?

Back

'r' stands for the radius of the base of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does 'h' stand for in the volume formula?

Back

'h' stands for the height of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert the volume from cubic centimeters to liters?

Back

1 liter = 1000 cubic centimeters. Divide the volume in cm³ by 1000 to convert to liters.

Tags

CCSS.5.MD.A.1

Front

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

Back

The diameter is twice the radius. Diameter = 2r.

Tags

CCSS.7.G.B.4

Front

If a cylinder has a diameter of 8 cm, what is its radius?

Back

Radius = Diameter / 2 = 8 cm / 2 = 4 cm.

Tags

CCSS.7.G.B.4

Front

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

Back

Volume = π(3 m)²(7 m) = 63π m³ ≈ 197.82 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does increasing the height of a cylinder affect its volume?

Back

Increasing the height of a cylinder increases its volume proportionally, as volume is directly related to height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3