Volume - Cones/Cylinders

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does the volume of a cone compare to the volume of a cylinder with the same base and height?

Back

The volume of a cone is 1/3 the volume of the cylinder.

Tags

CCSS.3.MD.A.2

Front

What does 'r' represent in the volume formulas for cones and cylinders?

Back

The radius of the base.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does 'h' represent in the volume formulas for cones and cylinders?

Back

The height of the shape.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

V = π(3)²(5) = 45π cm³ or approximately 141.37 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

V = (1/3)π(3)²(5) = 15π cm³ or approximately 47.12 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cone and a cylinder with the same radius and height?

Back

It takes 3 cones to fill one cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the base area 'B' in the volume formula for a cylinder?

Back

B = πr².

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 4 cm and a height of 6 cm?

Back

V = (1/3)π(4)²(6) = 32π cm³ or approximately 100.53 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3