Volume of cylinders, Cones and Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cone?

Back

V = (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

V = (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 height of 10 cm and a radius of 3 cm, what is its volume?

Back

The volume is 283.5 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a height of 15 inches and a radius of 6 inches?

Back

The volume is 1695.6 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert diameter to radius?

Back

Radius is half of the diameter (r = d/2).

Tags

CCSS.7.G.B.4

Front

What is the volume of a cone with a diameter of 8 feet and a height of 3 feet?

Back

The volume is 50.24 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Common units include cubic inches (in³), cubic centimeters (cm³), and cubic meters (m³).

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CCSS.3.MD.A.2

Front

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

Back

The diameter is twice the radius (d = 2r).

Tags

CCSS.7.G.B.4

Front

How does the height of a cylinder affect its volume?

Back

Increasing the height increases the volume proportionally.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3