The surface area of a sphere is 154 cm². The volume of the sphere is
A.

B.

C.

D. none of these

Given: The surface area of a sphere is 154 cm².

TSA of the sphere is given by: 4 × π × r²

∴ 4 × π × r² = 154

⇒ r² = 154 × =

⇒ r² = ⇒ r = √

⇒ r =

Now, Volume of hemisphere is given by: πr³

Let V be the Volume of the hemisphere

∴ V = × π × r³

⇒ V = × π × ()³ = cm³ = 179 cm³

∴ V = 179 cm³

That is Volume of the given sphere is 179 cm³