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15 April, 13:24

The diagram shows a gizmo where a cylinder is connected to a hemisphere with the same radius. The gizmo is held vertical by a thin straight rod which is connected to a horizontal plate and the top rim of the cylinder. The total volume of the gizmo is 9.8cm cubed. The radius of the hemisphere and cylinder is 0.8cm. Calculate the length of the rod.

extra info: The angle between the plate and the rod is 72°

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  1. 15 April, 16:19
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    5.1cm

    Step-by-step explanation:

    volume of hemisphere = 1.07cm³

    9.2-1.07 = 8.13

    volume of cylinders = 8.13cm³

    height of cylinder = 4.04cm

    total height of gizmo = 4.04+0.8=4.84

    4.84/sin (72) = 5.1cm
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