Understanding the Volume of a Sphere

The video tutorial explains how to find the volume of a sphere using the formula 4/3 πr³. It begins with an introduction to the concept of a sphere as a three-dimensional circle. The instructor then demonstrates the application of the formula with a specific example, using a radius of six. The calculation is broken down into steps, including cubing the radius, multiplying by four, and dividing by three, resulting in a final volume of 288π cubic units. The video concludes with a recommendation to practice the calculation using a calculator.

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

• 4/3 π R²

• 4/3 π R³

• 2 π R³

• π R³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the radius of a sphere is 6, what is the first step in calculating its volume?

• Multiply 6 by π

• Divide the radius by 3

• Square the radius

• Cube the radius

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the result of cubing the radius 6 in the volume calculation?

• 64

• 216

• 36

• 18

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

After cubing the radius and multiplying by 4, what is the next step in the volume calculation?

• Subtract 3

• Add 3

• Multiply by π

• Divide by 3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the final volume of the sphere with a radius of 6?

• 432 π

• 288

• 288 π

• 216 π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3