1.

The total surface area of a solid hemisphere is $108\pi$ sq.cm..The volume of the hemisphere is1). $72\pi$ cu.cm.2). $144\pi$ cu.cm.3). $108\sqrt{6}$ cu.cm.4). $54\sqrt{6}$ cu.cm.

Answer»

then total surface area = 3$ \large \pi$ \large r^{2} $

=> 3$ \large \pi$ \large r^{2} $ = 108 $ \large \pi$

=> $ \large r^{2} $ = $ \Large \FRAC{108}{3} $ = 36

=> r = $ \large \sqrt{36} $ = 6 cm

Volume of the hemisphere

= $ \Large \frac{2}{3} $ $ \large \pi$ $ \large r^{3} $

= $ \Large \frac{2}{3} $ $ \large \pi$ x 6 x 6 x 6

= 144 $ \large \pi$ cubic cm



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