Lesson 3
1. Lesson 3
1.11. Explore 7
Module 7: Volume and Capacity
The Volume and Capacity of a Sphere
In the last part of this section you will explore the volume of a sphere. Watch “Measurement 2 (Volume of a Sphere): Part 1.”
Try This 3
- What is the relationship between the volume of a sphere and the volume of a cylinder when both examples have the same diameter and height?
- Write a formula for the volume of a sphere. Use the formula for the volume of a cylinder.
- The height of the cylinder is twice the radius of the sphere, or h = 2r. In the formula you determined in question 2, substitute the value 2r in for h. Simplify the formula.
Share 3
Share your responses to the questions in Try This 2 with a classmate or with a group of people.
Save a copy of your responses to Try This 3 in your course folder.
The formula for the volume of a cylinder is
V(cylinder) = π × r2 × h.
V(cylinder) = π × r2 × h.