Volume - 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

What is the difference between radius and diameter?

Back

Radius is half of the diameter; Diameter is twice the radius.

Tags

CCSS.7.G.B.4

Front

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

Back

Volume = π(3)²(5) = 45π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find 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) = 48π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 5 cm?

Back

Volume = (4/3)π(5)³ = (500/3)π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the height and radius of a cone to find its volume?

Back

The volume depends on both the radius of the base and the height; both must be known.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the diameter of a sphere is 10 cm, what is its radius?

Back

Radius = Diameter / 2 = 10 cm / 2 = 5 cm.

Tags

CCSS.7.G.B.4

Front

How do you calculate the volume of a cylinder with a height of 10 cm and a radius of 2 cm?

Back

Volume = π(2)²(10) = 40π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3