To find the total volume of the composite figure, we need to find the volume of the cylinder inside the hemisphere.
Let's denote the radius of the hemisphere as r and the height of the cylinder as h.
Since the volume of the two hemispheres is 904.78 m^3, the volume of one hemisphere is 452.39 m^3. We know that the volume of a hemisphere is given by V_hemisphere = (2/3)πr^3.
So we can solve for the radius of the hemisphere:
452.39 = (2/3)(π)(r^3)
678.585 = πr^3
r^3 = 216.01
r ≈ 6.6 m
Now, we can calculate the volume of the cylinder inside the hemisphere using the formula for the volume of a cylinder: V_cylinder = πr^2h.
Since the cylinder is inside the hemisphere, the height of the cylinder is equal to the diameter of the hemisphere, which is 2r.
V_cylinder = π(6.6)^2(2(6.6)) = 534.36 m^3
Now, to find the total volume of the composite figure, we add the volume of the two hemispheres and the volume of the cylinder:
Total volume = 2(452.39) + 534.36 = 904.78 + 534.36 = 1439.14 m^3
Therefore, the total volume of the composite figure is 1439.14 m^3.
Solve for the total volume of the composite three-dimensional figure shown. The volume of bot hemispheres is 904.78 m.
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