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Answer:
The volume of the figure is: 60840, or approximately about 191037.6 ft^3.
Step-by-step explanation:
This 3D figure can be split into two separate figures, a half-sphere, and a cone.
Let's first try to find the volume of the half-sphere.
The formula for the volume of the half-sphere is , so substituting 39 for r gives us a volume of 39546
ft^3, or about 124174.44 ft^3.
Next, let's find the volume of the cone. We see that the radius of the cone is once again 39 ft, and the height of the cone i s just 81-39, or 42 ft.
The volume of a cone is , and substituting 39 for r and 42 for h, we obtain a result of 21294
, or about 66863.16
Thus, the final volume of the figure is: 60840, or approximately about 191037.6 ft^3