Volume of cylinders, cones and spheres

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 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 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

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

Back

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

Tags

CCSS.3.MD.A.2

Front

If a sphere has a diameter of 8.4 cm, what is its radius?

Back

Radius = diameter/2 = 4.2 cm.

Tags

CCSS.7.G.B.4

Front

What is the volume of a sphere with a radius of 4.2 cm?

Back

Volume = (4/3)π(4.2)³ ≈ 310.33 cm³.

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 cylinder is three times that of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a volume of 314 cubic inches, what is the volume of a cylinder with the same radius and height?

Back

Volume of the cylinder = 3 × 314 = 942 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = π(2)²(4) = 16π ≈ 50.27 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

Volume = (4/3)π(5)³ ≈ 523.6 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3