Volume - Cylinders, Cones & 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 do you calculate the volume of a cylinder with a diameter of 10 inches and a height of 5 inches?

Back

First, find the radius (r = diameter/2 = 5 inches). Then, Volume = π(5)²(5) = 125π ≈ 392.5 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a height of 12 inches and a radius of 4 inches, what is its volume?

Back

Volume = (1/3)π(4)²(12) = 64π ≈ 201.06 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the approximate volume of a sphere with a radius of 3 inches?

Back

Volume = (4/3)π(3)³ = 36π ≈ 113.1 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a cone-shaped container?

Back

Use the formula Volume = (1/3)πr²h, substituting the radius and height of the container.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 7 cm and a height of 10 cm?

Back

Volume = π(7)²(10) = 490π ≈ 1,539.38 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Radius = 5 cm. Volume = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 cm³.

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 9 inches?

Back

Radius = 3 inches. Volume = (1/3)π(3)²(9) = 27π ≈ 84.82 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3