Reviewed and Approved

Use Cavalieri’s Principle to Compare Aquarium Volumes

Resource ID#: 44523

Primary Type: Problem-Solving Task

This document was generated on CPALMS -

This task presents a context that leads students toward discovery of the formula for calculating the volume of a sphere.

General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators , Students , Parents
Suggested Technology: Adobe Acrobat Reader, Microsoft Office
Freely Available: Yes
Keywords: Cavalieri's Principle, volume, sphere, cross-sections, cone, Florida Standards
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics

Aligned Standards

Name Description
MAFS.912.G-GMD.1.2: Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
MAFS.912.G-MG.1.1: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).