The volume of a solid hemisphere is 1152 πcu.cm. Find its curved surface area.

GIVEN : volume of a solid hemisphere “V” = 1152cu.cm

we take π =

TO FIND : curved surface area (CSA) = ?

PROCEDURE :

As we know that volume of a hemisphere “V” = × × π ×r³

So, putting all the values in the above formula, we get

V = × × π ×r³

1152 = × × π ×r³

1152 = × × r³

r³ = 1152 × 2 × = 1152 × = 576×3 = 1728

r = ∛ 1728 = 12cm

so, now that we have radius, we can find the curved surface area of the hemisphere.

Now, CSA = 2× π ×r²

= 2×π × (12)²

= 2×π ×144

= 288π cm²

∴ curved surface area of the hemisphere is 288π cm²