Volume: Cylinders, Cones, & Spheres

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

What is the formula for 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 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

Calculate the volume of a cone with a diameter of 8 feet and a height of 3 feet.

Back

50.24 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the height of a cylinder is 10 cm and the radius is 3 cm, what is its volume?

Back

283 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

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

Back

V = (4/3)π(5)³ = 523.6 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Cubic units, such as cm³, m³, ft³.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

V = π(4)²(10) = 160π cm³ or approximately 502.65 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3