9514 1404 393
Answer:
309.33π yd³
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