Volume of a Cone

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What does 'r' represent in the volume formula of a cone?

Back

The radius of the base of the cone.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What does 'h' represent in the volume formula of a cone?

Back

The height of the cone.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

How do you calculate the volume of a cone with a radius of 3 cm and a height of 4 cm?

Back

V = (1/3)π(3)²(4) = 12π ≈ 37.68 cm³.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

Which object is not cone shaped? Traffic Cone, Ice Cream Cone, Football, Tip of a Pen?

Back

Football.

Tags

CCSS.HSG.MG.A.1

Front

What is the approximate volume of a cone with a radius of 2 cm and a height of 5 cm using π = 3.14?

Back

V = (1/3)π(2)²(5) = (1/3)(3.14)(4)(5) ≈ 20.93 cm³.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

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

Back

The volume of the cone is one-third that of the cylinder.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

If a cone has a volume of 30 cm³ and a height of 6 cm, what is the radius?

Back

Using V = (1/3)πr²h, r = √(30/(2π)) ≈ 2.24 cm.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the volume of a cone with a radius of 5 cm and a height of 6 cm?

Back

V = (1/3)π(5)²(6) = 50π ≈ 157.08 cm³.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the volume of a cone with a radius of 4 cm and a height of 3 cm?

Back

V = (1/3)π(4)²(3) = 16π ≈ 50.27 cm³.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9