Find the surface area if the hemisphere whose volume is 144 pi cubic meter

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