Calculating the Mass of a Sphere

Grade 645 min

Learning Objective

I can calculate the mass of a sphere using integration techniques.

Lesson Flow

Watch Video

5 min

How to Find the Mass using a Triple Integral with Density in Multivariable Calculus

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Practice

14 min

7 questions • Short answer

Exit Ticket

5 min

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.

Teacher Guide

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  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts