EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
EngageNY
How Do 3D Printers Work?
If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...
National Council of Teachers of Mathematics
The Math Forum: The Cylinder Problem: High School Lesson
Using an engaging approach, this lesson requires students to record the volume of cylinders as a function of the radius. Students will construct and measure the volume of several cylinders and then begin comparing these shapes.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Volume Equations for a Sphere and Pyramid
This site uses calculus to explain how the formulas for finding the volume of a sphere and a pyramid were derived.
Paul Dawkins
Paul's Online Notes: Calculus I: Area and Volume Formulas
The tutorial examines the area between two curves and the volume of a solid of revolution. The class notes are available in pdf format.
Shodor Education Foundation
Shodor Interactivate: Function Revolution
This activity allows the user to find the volume and surface area of various functions as they are rotated around axes. This applet can be used to practice finding integrals using the disk and washer methods of calculating volume.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Surface Area and Volume:prisms
This site from the Drexel University is a detailed explanation of area and volume for those who have trouble with the concept and need an explanation of how they are related and their differences, and other basic concepts for a clear...
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Polyhedra
Find a quick, concise explanation of what a polyhedra is. Examples are given and clearly explained.
Wolfram Research
Wolfram Math World: Frustum
Math World site offers the definition of frustum and links to view a frustum of a pyramid, cone, and sphere.