Question

the volum of hemisphere is 24251/3 cm find the curved surface area

Answer 1

HEY DEAR ... ✌️

______________________


______________________


Given : Volume of hemisphere = 2425 1/2 cu cm or 2425.5 cu cm.
Volume of hemisphere = 2/3πr³
2425.5 = 2/3*22/7*r³
r³ = (2425.5*21)/44
r³ = 50935.5/44
r³ = 1157.625
r = 10.5 cm
Now, 
Curved Surface Area of hemisphere = 2πr²
= 2*22/7*10.5*10.5
= 693 sq cm
CSA of hemisphere is 693 sq cm.


HOPE , IT HELPS ... ✌️

Answer 2

Given Data :-

$\tt volume \: \: \: of \: \: \: hemisphere \: \: = \frac{24251}{3} {cm}^{2}$

To find :-

Curved Surface Area of Hemisphere

Solution :-

As we know that ,

$\boxed{ \boxed{\tt volume \: \: \: of \: \: \: hemisphere \: \: = \frac{2}{3} \pi {r}^{3} }}$

then ,

$\tt \frac{24251}{3} = \frac{2\pi {r}^{3} }{ 3}$

$\tt2 \times \frac{22}{7} \times {r}^{3} = 24251$

$\tt {r}^{ 3} = \frac{24251}{2} \times \frac{7}{22} = 1157.625$

$\huge \boxed{ \boxed{ \tt r = 10.5 \: cm}}$

$\large \tt \binom{curved \: \: \: surface \: \: area \: \: of }{hemisphere} = 2\pi {r}^{2}$

$\tt = 2 \times \frac{22}{7} \times 10.5 \times 10.5 \\ = \: \: \: \: \: \: \: \: \: \: \tt 2 \times 11 \times 3 \times 10.5 \\ = \: \: \: 66 \times 10 .5 \\ = \huge \boxed{ \boxed{ \purple{\tt693 \: \: {cm}^{2} }}}$