If the height of hemisphere and cone is 49cm and height of cone is 35cm find the volume of solid.

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  1. Assuming that the two parts share no common volume, then just add up the volumes, using the normal formulas:

    Clearly, the radius of the hemisphere (and the base of the cone) is 49-35=14cm

    So, the volume is just

    (1/2)(4/3)(pi)(14^3) + (1/3)(pi)(14^2)(35) = 4116 pi

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