Volume of 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 diameter of a sphere?

Back

The diameter is twice the radius.

Tags

CCSS.7.G.B.4

Front

How do you find the radius from the diameter?

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

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

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 relationship between the height and volume of a cylinder?

Back

Volume increases with height if the radius is constant.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume increases with the cube of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a radius of 4 yd and a height of 3 yd, what is its volume?

Back

V = π(4)²(3) = 48π ≈ 150.8 yd³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

V = (1/3)π(3)²(9) = 27π ≈ 84.8 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

V = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3