Question

. If the total surface area of a hemisphere

is 108 π cm2

, then find the volume of

hemipshere.​

Answer 1

$\boxed{\fcolorbox{red}{orange}{Question}}$

. If the total surface area of a hemisphere is 108 π cm^2 , then find the volume of hemipshere.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\huge\bf\underline{\underline{ᴀɴsᴡᴇʀ:-}}$

If the radius of the solid hemisphere be r cm,

then total surface area = 3πr2

=> 3πr2 = 108 π

=> r2 = 1083 = 36

=> r = 36−−√ = 6 cm

Volume of the hemisphere

= 23 π r3

= 23 π x 6 x 6 x 6

= 144 π cubic cm

$\bold\purple{♡}{\red{\underline{\pink{\mathbb{Hope \: it's \: helpful \: for \: you .}}}}}\bold\blue{♡}$

$\boxed{\fcolorbox{purple}{grey}{Answer \: = \: 144 \: pie \: cm³}}$

Answer 2

Answer:

144πcm^3

Step-by-step explanation:

total surface area of hemisphere=3πr^2

108π = 3πr^2

r^2 =36

r=6

now,

volume of hemisphere = 2/3πr^3

= 2/3π 216

=144π cm^3