Question

The surface area of a sphere is 3000 m2. What is the volume of the sphere

Answer 1

`= 15450.96 {m}^(3)`

Explanation:

`v = \frac{ {area}^{ (2)/(3) } }{6 √(\pi) } \\ = \frac{ {3000}^{ (2)/(3) } }{6 √(\pi) } \\ = 15450.96 {m}^(3)`

Answer 2

The answer is

15448 cm³

Explanation:

Volume of a sphere is

`V = (4)/(3) \pi {r}^(3)`

where r is the radius

From the question in order to find the volume of the sphere we must first find the radius of the sphere using it's surface area

Surface area of sphere = 4πr²

3000 = 4πr²

Divide both sides by 4π

r² = 750/π

r = 15. 45 cm

Now the volume of the sphere is

`V = (4)/(3) \pi( {15 .45})^(3)`

`= 15448.06`

= 15448 cm³ to the nearest whole number

Hope this helps you