Introduction to the Volume of a Sphere

Introduction to the Volume of a Sphere

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The parts of a sphere!

Compare Spheres and Cylinders

• Same radius, same height

• Sphere is (2/3) the volume of the Cylinder

Multiple Choice

The volume of the cylinder is 18 m³. What is the volume of the sphere?

• 12 m³

• 15 m³

• 18 m³

• 27 m³

Determining the Formula for Volume of a Sphere

The volume of the cylinder is represented by the formula V = Bh, where B is the area of the circular base and h is the height.

The Volume of a Sphere

Determine the Volume of the Sphere:

• V = (4/3)π(4)³

• V = (4/3)π(64)

• V = (256/3)π cm³

• Approximately 267.95 cm³

Fill in the Blank

Fill in the blank with the correct letters. Letter ___ represents the diameter. Letter ___ represents the radius.

___, ___

Multiple Select

Which statements are true? Check all that apply.

• The height of the cylinder is equal to the diameter of the sphere.

• The height of the cylinder is two times the diameter of the sphere.

• The radius of the sphere is half the height of the cylinder.

• The diameter of the sphere is equal to the radius of the cylinder.

• The volume of the sphere is two-thirds the volume of the cylinder.

Fill in the Blank

What is the volume of a sphere with a radius of 7 cm? Express your answer in exact terms of π cm³.

V = ____ π cm³

Multiple Choice

Which sphere has a volume of 0.288 π in³?

Multiple Select

Consider this sphere with a diameter of 5 m. What can be concluded about the sphere? Check all that apply.

• The sphere has a radius of 10 cm.

• The diameter measure is substituted into the formula to find the volume.

• The radius is half the diameter.

• The formula to apply is V = (4/3)Bh

• The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

Multiple Choice

This sphere has a diameter of 5 m. What is the volume of the sphere?

• $$V\ =\ 14.13\ m^3$$

• $$V\ =\ 65.44\ m^3$$

• $$V\ =\ 166.67\ m^3$$

• $$V\ =\ 4,188.79\ m^3$$

Multiple Choice

What is the volume of a sphere with a radius of 3/2 feet?

The volume is ____ ft³

• $$3.375\ ft^3$$

• $$10.6\ ft^3$$

• $$14.33\ ft^3$$

• $$42.99\ ft^3$$

Open Ended

When given the diameter of a sphere, how can the volume be calculated? Describe the steps needed to find the volume. Answer with at least 2 compplete sentences.