Question

The volume of a solid hemisphere is 1152 pi cm cube find its curved surface area

Answer 1

let
radius of the hemisphere = r cm
volume = 2/3πr³---(1)
given volume = 1152π---(2)
(1)= (2)
2/3πr³=1152π

r³= (1152π*3)/(2*π)
r³=1728
r³= (12)³
r= 12cm
curved surface area = 2πr²
=2*22/7*12*12
=6336/7
=905.14 square cm

Answer 2

hey your answer is :-

Volume of hemisphere = 2/3 πr3

1152 π = 2/ 3 πr3

Pi get cancelled.... So,

1152 = 2/3 r3

r3 = 1152 × 3/2

r3 = 1728

r = 12 cm

Now, CSA = 2πr2

= 2 × 22/7 × 12 × 12

= 6336 / 7

= 905.14 cm 2