38.2k views
5 votes
Find the surface area if the hemisphere whose volume is 144 pi cubic meter

User Yagmur
by
7.4k points

1 Answer

3 votes

Answer: 108π m^2

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

User Moishe Lettvin
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories