Question 128

The total surface area of a solid hemisphere is 1039.5 cm$$^2$$ . The volume(in cm$$^3$$) of the hemisphere is: (Take $$\pi = \frac{22}{7}$$)

Solution

Let radius of hemisphere = $$r$$ cm

Total surface area of hemisphere = $$3\pi r^2=1039.5$$

=> $$3\times\frac{22}{7}\times r^2=1039.5$$

=> $$r=\sqrt{110.25}=10.5$$ cm

$$\therefore$$ Volume of hemisphere = $$\frac{2}{3}\pi r^3$$

= $$\frac{2}{3}\times\frac{22}{7}\times(\frac{21}{2})^3$$

= $$\frac{441\times11}{2}=2425.5$$ $$cm^3$$

=> Ans - (C)

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