Question

Find the surface area of a sphere whose volume is 606.375 m³

Answer 1

Step-by-step explanation:

We know that

Volume of the sphere =

3

4

πr

3

By substituting the values

606.375=

3

4

×

7

22

×r

3

On further calculation

r

3

=

88

(606.375×3×7)

So we get

r

3

=144.703125

By taking cube root

r=5.25m

We know that

Surface area of the sphere =4πr

2

By substituting the values

Surface area of the sphere =4×

7

22

×5.25

2

So we get

Surface area of the sphere =346.5 m

2

Therefore, the surface area of the sphere is 346.5 m

2

.