Volume of Cylinder, Cone, and Sphere

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 2 m and a height of 4 m, what is its volume?

Back

V = π(2)²(4) = 16π m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

V = (4/3)π(5)³ = 523.6 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cone with a radius of 3 m and a height of 4 m?

Back

V = (1/3)π(3)²(4) = 12π m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 4 m and a height of 4 m?

Back

V = π(2)²(4) = 16π m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

V = (4/3)π(5)³ = 523.6 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume increases by a factor of 4.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume of the cone is 1/3 of the volume of the cylinder.

Tags

CCSS.3.MD.A.2