Question

Surface atea of a hemisphere is 2772cm then the total surface area of hemisphere is?

Answer 1

surface area of hemisphere = 2772 cm²

2 Π r² = 2772

2 x (22/7) x r² = 2772

r² = 2772 x (1/2) x (7/22)

r² = 441

r = √21 x 21

r = 21

Total surface area of hemisphere = 3 Π r²

= 3 x (22/7) x (21)²

= 3 x (22/7) x (21) x (21)

= 3 x (22) x (3) x (21)

= 4158 cm²

Total surface area of sphere = 4158 cm²

Answer 2

Answer:

⇒Total surface area of hemisphere = 4158 cm²

Step-by-step explanation:

Given:

⇒ Curved surface of hemisphere = 2772 cm²  

To Find:

⇒Total Surface area of hemisphere.  

Now, we know that,

⇒ Curved surface area of hemisphere = 2πr²

⇒ 2772 = 2 × 22/7 × r²

⇒ 2772 = 44/7 × r²

⇒ 19404 = 44r²

⇒ r² = 19404/44

⇒ r² = 441

⇒ r = √441

⇒ r = 21 cm.  

Now, we will find total surface area of hemisphere,

⇒ Total surface area of hemisphere = 3πr²

⇒ Total surface area of hemisphere = 3 × 22/7 × 21 × 21

⇒ Total surface area of hemisphere = 4158 cm²  

Hence, Total surface area of hemisphere = 4158 cm²