Volume of Cylinders, Cones, & Spheres 8.7A

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert diameter to radius?

Back

The radius r is half of the diameter d. So, r = d/2.

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CCSS.7.G.B.4

Front

What is the approximate value of π (pi)?

Back

The approximate value of π is 3.14.

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CCSS.HSG.GMD.A.1

Front

If a sphere has a radius of 3 inches, what is its volume?

Back

Using the formula V = (4/3)πr³, the volume is approximately 113.1 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Using the formula V = πr²h, the volume is approximately 785.4 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a radius of 4 inches and a height of 9 inches, what is its volume?

Back

Using the formula V = (1/3)πr²h, the volume is approximately 150.8 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 inches?

Back

First, find the radius: r = 10/2 = 5 inches. Then, V = (4/3)π(5)³ ≈ 523.6 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 3 inches and a height of 6 inches?

Back

Using the formula V = (1/3)πr²h, the volume is approximately 28.3 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3