Exploring Volume and Surface Area of a Sphere

The video tutorial covers the formulas for calculating the surface area and volume of spheres. It begins with an introduction to the formulas, followed by detailed examples of how to calculate the surface area and volume using a given radius. The tutorial emphasizes the importance of using the correct units for area and volume and provides practice questions for viewers to try on their own.

What is the formula to calculate the surface area of a sphere?

• 4/3 * pi * r^3

• 4 * pi * r^2

• 2 * pi * r^2

• pi * r^2

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the radius of a sphere is 6 meters, what is the surface area using pi as 3.14?

• 904.32 square meters

• 150.72 square meters

• 452.16 square meters

• 678.24 square meters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula used to calculate the volume of a sphere?

• pi * r^3

• 2/3 * pi * r^3

• 4 * pi * r^3

• 4/3 * pi * r^3

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Using a radius of 6 meters and pi as 3.14, what is the volume of the sphere?

• 678.24 cubic meters

• 1204.78 cubic meters

• 452.16 cubic meters

• 904.32 cubic meters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you calculate the square of the radius in the formula for surface area?

• Multiply the radius by itself

• Divide the radius by itself

• Divide the radius by 2

• Multiply the radius by 2

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CCSS.7.G.B.4

If the diameter of a sphere is 18 meters, what is the radius?

• 18 meters

• 9 meters

• 4.5 meters

• 36 meters

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CCSS.7.G.B.4

For a sphere with a radius of 9 meters, calculate the surface area using pi as 3.14.

• 1017.36 square meters

• 508.68 square meters

• 2034.72 square meters

• 762.48 square meters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a sphere with a radius of 9 meters using pi as 3.14?

• 3052.08 cubic meters

• 1526.04 cubic meters

• 6104.16 cubic meters

• 4578.12 cubic meters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the result of cubing the radius 9 in the volume formula?

• 243

• 81

• 6561

• 729

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

What units are used to measure the volume of a sphere?

• Meters

• Square meters

• Cubic meters

• Kilometers

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CCSS.3.MD.A.2