We halve the diameter of 6 to get a radius of 3, and are given a height of 10. As we have two hemispheres, we can combine them into one sphere, so we would take the volume of a sphere with r=3 and add it to the volume of a cylinder with r=3 and h=10. Volume of a sphere is (4/3)pi*r^3 and volume of a cylinder is pi*r^2*h. Plugging in our values and adding, we get 
. This makes your answer 126*pi inches, which is roughly 395.841 inches.
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Step-by-step explanation:
Let's use the sine law to calculate x.