The volume of a solid hemisphere is 1152 pi cm cube find its curved surface area
Answers
Answered by
95
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
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
Answered by
5
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
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