Introduction to Volume of Cylinders

Introduction to the Volume of a Sphere

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

Lara found the volume of a sphere with a diameter of 10. Analyze Lara’s work. Is she correct? If not, what was her mistake?

• Yes, she is correct.

• No, she used the diameter instead of the radius measure.

• No, she should have multiplied 4 and 10 first before applying the exponent.

• No, her units should be squared for volume.

Multiple Choice

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

• $$V\ =\ \frac{9}{2}\pi\ m^3$$

• $$V\ =\ \frac{125}{6}\pi\ m^3$$

• $$V\ =\ \frac{500}{3}\pi\ m^3$$

• $$V\ =\ \frac{4000}{3}\pi\ m^3$$

Fill in the Blank

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

The volume is ____ π ft³

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.