Question

volume of hemisphere is 19404 cm cube then find its total surface area

Answer 1

hey here is ur ans .....

given :-
volume of hemisphere = 19404 cm^3
T.S.A of hemisphere = ?

we know that ,
volume of hemisphere = $2 \div 3\pi {r}^{3}$
now ,
$19404 = 2 \div 3\pi {r}^{3} \\ 19404 \times 3 \div 2 = \pi {r}^{3} \\ 29106 = \pi {r}^{3} \\ {r}^{3 } = 29106 \times 7 \div 22$
${r}^{3} = 9261 \\ r = 96.23$

now ,we know that ....
TSA of hemisphere = $3\pi {r}^{2}$
now ,

TSA = 3 × 22 / 7 × (96.23)^2
TSA = 87310.58 cm^2

hope this will help uh ....
nd plz mark as brainliest ...

Answer 2

Given : Volume of Hemisphere = 19404 cm³

To find : Radius of Hemisphere

$\boxed{\boxed{\tt{Solution :- }}}$

To find the radius, we will use the following formula of Hemisphere

Volume of Hemisphere ☛ $\dfrac{2}{3}$πr³

☛ 19404 = $\dfrac{2}{3} \times \dfrac{22}{7}$r³

☛ r³ = $\dfrac{19404 \times 7 \times 3}{22 \times 2}$

☛ r³ = $\dfrac{407484}{44}$

☛ r³ = 9261

∴ r = 21

∴ $\pink{\underline{\pink{\underline{\tt{\red{The\:radius\:is\:of\:21\:cm}}}}}}$