Question

The volume of a hemisphere is 2425`1/2cm^3`cm. Find its curved surface area?

Answer 1

Given that volume of a hemisphere`=2424(1)/2cm^3`

Volume of a hemisphere`=2/3pir^3`

⇒ `2/3pir^3=2425(1)/2`

⇒`2/3pir^3=4841/2`

⇒ `r^3=(4851xx3)/(2xx2xxpi)`

⇒ `r^3=(4851xx3)/(4pi)`

r³

r = 10.50cm

∴ Radius of hemisphere = 10.5cm

Curved surface area of hemisphere = 2πr²

= 2π(10.5)²

=692.72

⇒693cm²

∴curved surface area off hemisphere = 693cm²