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Lesson Plan
EngageNY

The Volume Formula of a Sphere

For Teachers 9th - 10th Standards
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...
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Lesson Plan
EngageNY

How Do 3D Printers Work?

For Teachers 9th - 10th Standards
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...
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Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: The Cylinder Problem: High School Lesson

For Teachers 9th - 10th Standards
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.
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Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Volume Equations for a Sphere and Pyramid

For Students 9th - 10th Standards
This site uses calculus to explain how the formulas for finding the volume of a sphere and a pyramid were derived.
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Handout
Paul Dawkins

Paul's Online Notes: Calculus I: Area and Volume Formulas

For Students 9th - 10th Standards
The tutorial examines the area between two curves and the volume of a solid of revolution. The class notes are available in pdf format.
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Interactive
Shodor Education Foundation

Shodor Interactivate: Function Revolution

For Students 9th - 10th Standards
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.
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Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Surface Area and Volume:prisms

For Students 9th - 10th Standards
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...
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Graphic
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Polyhedra

For Students 9th - 10th Standards
Find a quick, concise explanation of what a polyhedra is. Examples are given and clearly explained.
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Unit Plan
Wolfram Research

Wolfram Math World: Frustum

For Students 9th - 10th Standards
Math World site offers the definition of frustum and links to view a frustum of a pyramid, cone, and sphere.