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 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 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 are the units for measuring volume?

Back

Cubic units (e.g., cm³, m³, liters).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.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 ≈ 141.37 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does the volume of a sphere compare to that of a cylinder with the same radius and height?

Back

The volume of a sphere is less than that of a cylinder with the same radius and height.

Tags

CCSS.3.MD.A.2

Front

What is the volume of a basketball with a radius of 6 inches?

Back

Volume = (4/3)π(6)³ ≈ 904.32 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = side³ = 4³ = 64 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm?

Back

Volume = length × width × height = 5 × 3 × 2 = 30 cm³.

Tags

CCSS.7.G.B.6