Tennis Balls in a Can

This task is inspired by the derivation of the volume formula for the sphere. If a sphere of radius 1 is enclosed in a cylinder of radius 1 and height 2, then the volume not occupied by the sphere is equal to the volume of a "double-naped cone" with vertex at the center of the sphere and bases equal to the bases of the cylinder
Resource ID#: 44522 Type: Problem-Solving Task
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General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators educators, Students , Parents
Suggested Technology: Adobe Acrobat Reader, Microsoft Office
Instructional Time: 20 Minute(s)
Keywords: volume, cylinders, double-naped cone, Cavalieri's Principle, slices, Florida Standards, 2D, 3D, cross-section, plane, representation, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, Florida standards, resource, free, freely available, problems-based learning, student activities, integer, real world, Pythagorean Theorem, area, hypotenuse, sides, adjacent, opposite, (a^2)+(b^2)=c^2
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics

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