Answer: 108π m^2
Step-by-step explanation:
Hemisphere means half of a sphere.
Volume of sphere = (4/3)×π×r^3, where r is radius.
So,
volume of hemisphere = half of the volume of sphere
volume of hemisphere = (2/3)×π×r^3
According to question,
volume of hemisphere = 144π m^3
So,
(2/3)×π×r^3 = 144π m^3
(2/3)×r^3 = 144 m^3
r^3 = (144×3)/2
r^3 = 216
r = 6
Now,
Total Surface Area of hemisphere = Curved Surface Area + Area of the Base Circle
= 2πr^2+πr^2
= 3πr^2
= 3π× 6^2
= 108π m^2
