How to find the Volume of Dubai's Museum of the Future (An ellipsoid with an ellipsoidal hole in it)?

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I'm an IB Mathematics HL student doing a math research report for school, I need to be able to model Dubai's Museum of the Future building. Do you know how I could model this shape mathematically and find its volume? I was thinking ellipsoid minus another smaller ellipsoid for the hole in the middle but the edges wouldn't make sense? Thanks for any help!