Calculating the Volume of a Sphere

The video tutorial explains how to calculate the volume of a sphere by dividing it into pyramids with equal base and height. It describes the geometric relationship between the pyramids and the sphere, where the vertex of each pyramid coincides with the sphere's center, and the height equals the sphere's radius. The total volume of these pyramids equals the sphere's volume, leading to the formula: Volume = 4/3 * π * r³.

What shape is used to describe a sphere in the volume calculation method?

• Cylinder

• Pyramid

• Cube

• Cone

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CCSS.5.MD.C.5C

What is the volume of a pyramid used in the sphere's volume calculation?

• 1/2 * Base Area * Height

• 1/3 * Base Area * Height

• Base Area * Height

• 2/3 * Base Area * Height

Tags

CCSS.HSG.GMD.A.3

What is the relationship between the pyramid's height and the sphere's radius?

• The height is twice the radius

• The height is half the radius

• The height is equal to the radius

• There is no relationship

How is the base area of all pyramids related to the sphere?

• There is no relation

• Equal to the sphere's surface area

• Equal to the sphere's volume

• Equal to the sphere's diameter

Tags

CCSS.HSG.GMD.A.3

What formula represents the volume of a sphere?

• Pi * r^2

• 4/3 * Pi * r^3

• 3/4 * Pi * r^3

• 2/3 * Pi * r^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3