Back to Explain volume formulas — Problem 1 · Task Set 34

Exercises: Informal Arguments for Sphere Volume Using Cavalieri's Principle

Grade 10·22 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-gmd-a-2
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Fluency Practice

1.

Two solids each have height 8 cm. At every height hh between 0 and 8 cm, the cross-sectional area of Solid A equals the cross-sectional area of Solid B. By Cavalieri's principle, if Solid A has volume 320π320\pi cm³, what is the volume of Solid B in cm³?