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

2425.5

We know that,

Total surface area of the hemisphere = 3πr²

Volume of the hemisphere = \(\frac{2}{3}\)πr³

We have,

Total surface area = 1039.5 cm²

Now, according to the question,

= 3πr² = 1039.5

= 3 × \(\frac{22}{7}\) × r² = 1039.5

= r² = \(\frac{(1039.5 × 7)}{66}\) = 15.75 × 7 = 110.25

= r = \(\sqrt {110.25}\) = 10.5

Volume of the hemisphere = \(\frac{2}{3}\)× \(\frac{22}{7}\) × 10.5 × 10.5 × `10.5 = 2425.5