Volume of a Cone

Front

What is the formula for the volume of a cone?

Back

V = (1/3)π r²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the value of π (Pi) used in calculations?

Back

3.14

Tags

CCSS.HSG.GMD.A.1

Front

If the radius of a cone is 7 cm and the height is 10 cm, what is the volume?

Back

V = (1/3)π (7)²(10) = 163.3 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the shape of a cone?

Back

A three-dimensional geometric shape with a circular base and a single vertex.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

How do you calculate the volume of a cone?

Back

Multiply the area of the base (πr²) by the height (h) and then divide by 3.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Find the volume of a cone with a radius of 5 ft and a height of 12 ft. Use 3.14 for π.

Back

V = (1/3)π (5)²(12) = 62.8 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

If a cone has a diameter of 10 cm, what is its radius?

Back

Radius = Diameter / 2 = 5 cm.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cone with a radius of 3 mm and a height of 4 mm? Use 3.14 for π.

Back

V = (1/3)π (3)²(4) = 37.68 mm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What happens to the volume of a cone if the height is doubled?

Back

The volume will also double, assuming the radius remains the same.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3