The volume of a solid hemisphere is 19404cm³. Its total surface area is -

4,158 cm² 5,500 cm² 4,186 cm² 4,190 cm²

4,158 cm²

Volume of a hemisphere = 19404 ⇒ \(\frac{2}{3}\) \(\pi \)r3 = 19404 ⇒ r3 = \(\frac{19404 × 3 × 7}{2 × 22}\) ⇒ r3 = 9261 ⇒ r3 = \(\sqrt[3]{9261}\) = 21 cm Total surface area = 2\(\pi \)r2 + \(\pi \)r2                     = 3\(\pi \)r2  = 3 × \(\frac{22}{7}\) × 441 = 4158 cm2