Description
Students informally derive the volume formula of a sphere in Lesson 12 (G-GMD.A.2). To do so, they examine the relationship between a hemisphere, cone, and cylinder, each with the same radius, and for the cone and cylinder, a height equal to the radius. Students discover that when the solids are aligned, the sum of the area of the cross-sections at a given height of the hemisphere and cone are equal to the area of the cross-section of the cylinder.
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Credits
From EngageNY.org of the New York State Education Department. Geometry Module 3, Topic B, Lesson 12.
Available from engageny.org/resource/geometry-module-3-topic-b-lesson-12; accessed 2015-05-29.
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