Back to Explain volume formulas — Problem 5 · 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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A
Fluency Practice
1.
For the cylinder-minus-cone comparison solid (cylinder radius , height ; cone apex at base, base radius at top), at height the cone's inner radius equals ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . The annular cross-sectional area is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .
cone's inner radius at height h:
annular area formula: