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Back to Explain volume formulas — Problem 3 · 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

Hemisphere cross-section showing the right triangle formed by radius r = 5, height h = 3, and cross-sectional radius x
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A hemisphere of radius r=5r = 5 cm is sliced horizontally at height h=3h = 3 cm above its flat base. Using the Pythagorean Theorem, find the cross-sectional area at that height. Express your answer in terms of π\pi.