Q. 695.0( 3 Votes )

A.

B.

C.

D. none of these

Answer :

Given: The surface area of a sphere is 154 cm^{2}.

TSA of the sphere is given by: 4 × π × r^{2}

∴ 4 × π × r^{2} = 154

⇒ r^{2} = 154 × =

⇒ r^{2} = ⇒ r = √

⇒ r =

Now, Volume of hemisphere is given by: πr^{3}

Let V be the Volume of the hemisphere

∴ V = × π × r^{3}

⇒ V = × π × ()^{3} = cm^{3} = 179 cm^{3}

∴ V = 179 cm^{3}

That is Volume of the given sphere is 179 cm^{3}

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