Question

4. Find the volume of the sphere whose surface area is 154cm². (Use pi= 23)​

Answer 1

Answer:

Surface area of a sphere=4πr

2

=154cm

2

⇒4×

7

22

r

2

=154cm

2

⇒r

2

=

4

154

×

22

7

⇒r

2

=

4

49

⇒r=

4

49

∴r=

2

7

=3.5cm

Volume of the sphere=

3

4

πr

3

=

3

4

×

7

22

×(3.5)

3

=

21

88

×42.875‬=179.67cm

3