The volume of a hemisphere is 19404 cm3. The total surface area of the hemisphere is
Given: The volume of a hemisphere is 19404 cm3.
Volume of the hemisphere is given by: × π × r3
∴ × π × r3 = 19404
⇒ r3 = 19404 × = 9261
⇒ r3 = 9261 ⇒ r = ∛9261
⇒ r = 21
Now, Total surface area of hemisphere is given by: 3πr2
Let S be the TSA
∴ S = 3 × π × r2
⇒ S = 3 × π × (21)2 = 4158 cm2
∴ S = 4158 cm2
That is TSA of the given sphere is 4158 cm2