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

Back

'r' represents 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

'h' represents the height of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the radius if you know the diameter of a cylinder?

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3 cm)²(5 cm) ≈ 141.37 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the area of the base of a cylinder is 50 cm² and the height is 10 cm, what is the volume?

Back

Volume = Base Area × Height = 50 cm² × 10 cm = 500 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cylinder and its height?

Back

The volume of a cylinder increases linearly with height if the base area remains constant.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does changing the radius of a cylinder affect its volume?

Back

Increasing the radius increases the volume exponentially, as volume is proportional to the square of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 8 cm and a height of 10 cm?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a volume of 1000 cm³ and a height of 10 cm, what is the area of the base?

Back

Base Area = Volume / Height = 1000 cm³ / 10 cm = 100 cm².

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3