A solid is made by a hemisphere and cylinder having equal radii. The volume of
the solid is 2707 cm. If the height of the cylinder is 80 cm, find the total surface area of the solid.
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Step-by-step explanation: volume = volume of cylinder +volume of hemisphere = πr2h+23πr3=2707 cm3 . We can solve for r using the Newton-Raphson method. There’s an online calculator for that, which gives the positive root r=3.238483 cm .
Surface area = area of cylinder base + cylinder side + hemisphere = πr2+2πrh+2πr2=1726.684 cm2.
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