Volume

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 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 volume of a cube?

Back

Volume = s³, where s is the length of a side.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is 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

How does the volume of a cylinder compare to a cone with the same base and height?

Back

The volume of the cylinder is three times that of the cone.

Tags

CCSS.3.MD.A.2

Front

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

Back

The volume increases with the cube of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a cylinder is doubled, how does its volume change?

Back

The volume increases by a factor of four.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3)²(5) = 45π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 4 cm?

Back

Volume = (4/3)π(4)³ = (256/3)π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cube with a side length of 2 cm?

Back

Volume = 2³ = 8 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2