Calculating the Mass of a Sphere
Free to teach as-is — the teacher guide, student handout, and slides are included.
Free — we'll email you an access link. Google Docs format.
Objective
I can calculate the mass of a sphere using integration techniques.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
Explain the concept of density and how it relates to mass and volume.
Describe the process of setting up a triple integral to calculate the mass of a solid with a constant density.
Part 3 of 3
Exit ticket
Quick comprehension check
“A solid sphere has a radius of 4 units and a constant density of 12 grams per cubic centimeter. Set up the triple integral to calculate its mass. Show all your steps! A solid sphere has a radius of 5 units and a constant density of 8 grams per cubic centimeter. Calculate the mass of the sphere using the triple integral you set up. Show all work. ”
Sample answer included in the free materials
Get the materials
Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
Complete lesson plan with answer keys and alternate activities
Student Handout
Printable worksheet
Slides
Ready to present
We'll ask for your email to send your access link — nothing else.
Teaching a group at a different level?
Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.
Adapt This Lesson
