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

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π cm³ ≈ 141.4 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 inches?

Back

Volume = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cylinder using π = 3.14?

Back

Use the formula Volume = πr²h and substitute 3.14 for π.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 2 cm and a height of 6 cm?

Back

Volume = (1/3)π(2)²(6) = (1/3)π(24) = 8π cm³ ≈ 25.1 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 cone is one-third that of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a diameter of 10 cm, what is its volume?

Back

Radius = 5 cm; Volume = (4/3)π(5)³ ≈ 523.6 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 4 feet and a height of 10 feet?

Back

Radius = 2 feet; Volume = π(2)²(10) = 40π ft³ ≈ 125.6 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3