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sqdancefan

9514 1404 393

Answer:

  309.33π yd³

Step-by-step explanation:

We can subtract the volume of the sphere from the volume of the cone, but we'd like to point out that said difference is irrelevant to the problem. The sphere does not fit into the cone. We cannot tell exactly how the composite figure is constructed.

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Cone volume is ...

  V = 1/3πr²h

  V = 1/3π(10 yd)²(23 yd) = 2300π/3 yd³

Sphere volume is ...

  V = 4/3πr³ = 4/3π(7 yd)³ = 1372π/3 yd³

The difference between the cone volume and the sphere volume is ...

  (2300 -1372)π/3 yd³ ≈ 309.33π yd³

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