Volume of Cylinders, Cones, & Spheres

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 is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

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 10 cm, what is its volume?

Back

Volume = π(3)²(10) = 283 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 6 cm, what is its volume?

Back

Volume = (1/3)π(3)²(6) = 56.52 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

How do you convert diameter to radius?

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

What is the volume of a sphere with a diameter of 20 cm?

Back

Volume = (4/3)π(10)³ = 4188.8 cm³.

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 9 cm?

Back

Volume = (1/3)π(4)²(9) = 150.72 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 5 ft and a height of 10 ft?

Back

Volume = π(5)²(10) = 785.4 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3