Volume of Cylinders, Cones, and Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

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

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

V = π(5)²(10) = 250π ≈ 785.4 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a radius of 3 cm and a height of 9 cm, what is its volume?

Back

V = (1/3)π(3)²(9) = 27π ≈ 84.8 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a radius of 4 cm, what is its volume?

Back

V = (4/3)π(4)³ = (4/3)π(64) ≈ 268.1 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert diameter to radius?

Back

Radius = Diameter / 2

Tags

CCSS.7.G.B.4

Front

What is the volume of a cylinder with a diameter of 10 feet and a height of 5 feet?

Back

V = π(5)²(5) = 125π ≈ 392.7 cubic feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a diameter of 6 inches and a height of 12 inches?

Back

V = (1/3)π(3)²(12) = 36π ≈ 113.1 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a diameter of 10 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