Math, asked by DarkenedSky, 2 months ago

If the total surface area of a solid hemisphere is 462 cm², find its volume. [Take π = 22/7]​

Answers

Answered by Rollerqueen
182

Answer:

Total Surface Area of Hemisphere = 462 cm²

Total Surface Area of Hemisphere = 2πr

 \\

\begin{gathered}:\implies\sf{ 462 = 3πr²}\\ \\ \\ :\implies\sf{ r = 7cm}\\ \\ \\ :\implies\sf{ Volume \:  Of \:  Hemisphere = }\dfrac{ 2}{3} πr³ \\ \\ \\ :\implies\sf{ V =}\dfrac{ 2}{3} × \dfrac{ 22}{7}  × 7³ \\ \\ \\ :\implies\sf{ V = 718.67 cm³}\end{gathered}

{ \underline{ \boxed{ \large{ \rm{ʜᴏᴘᴇ \: ɪᴛ \: ʜᴇʟᴘs! :)}}}}}

_______________________

Answered by lilme0w
5

Answer:

tsa of hemisphere=462cm²

3πr²=462

22/7*r²=462/3

r²=462*7/22*3

=49

r=7cm

volume of hemisphere=2/3πr³

=2/3*22/7*7*7*7

=2156/3

=718.67cm³

Step-by-step explanation:

hope it's helps you.

Similar questions