Question

If the curved surface area of hemisphere is 10 cm square then what is the total surface area of hemisphere

Answer 1

Answer:

The total Curved surface area of the hemisphere is 15 cm²

Step-by-step explanation:

Given

Curved surface area of the hemisphere = 10 cm²

To find : Total surface area of the hemisphere

The formula for Curved surface area of a hemisphere = 2πr²

So,

2πr² = 10 cm²

2 × 22/7 × r × r = 10 cm

44/7 × r × r = 10 cm

r × r = 10 × 7/44

r × r = 35 / 22

r² = 35/22

Total surface area of a hemisphere = 3πr²

So,

3 × 22/7 × 35/22

2310 / 154

= 15cm²

The total Curved surface area of the hemisphere is 15 cm²

Answer 2

Answer:

• TSA of hemisphere = 14.95 cm² (Approx).

Step-by-step explanation:

Given:

• CSA of hemisphere = 10 cm²

To Find:

• TSA of hemisphere

Now, we know that

⇒ CSA of hemisphere = 2πr²

⇒ 10 = 2 × 22/7 × r²

⇒ 10 = 44/7 × r²

⇒ 10 = 6.28 × r²

⇒ r² = 10/6.28

⇒ r² = 1.59

⇒ r = √1.59

⇒ r = 1.26 cm (Approx)

Now, we will calculate TSA of hemisphere,

⇒ TSA of hemisphere = 3πr²

⇒ TSA of hemisphere = 3 × 3.14 × 1.26 × 1.26

⇒ TSA of hemisphere = 9.42 × 1.58

⇒ TSA of hemisphere = 14.95 cm² (Approx)

Hence, TSA of hemisphere = 14.95 cm² (Approx).