The volume of a solid hemisphere is 19404cm³. Its total surface area is -
Answer & explanation
Correct answer: option 1
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