Question

The surface area of a sphere is 154 cm². The volume of the sphere is ______.

Options

• `"179"2/3 "cm"^3`

• `"359"1/3"cm"^3`

• `"1437"1/3"cm"^3`

• None of these

Answer 1

The surface area of a sphere is 154 cm². The volume of the sphere is `underlinebb(179 2/3 cm^3)`.

Explanation:

Surface area of a sphere = 4πr² 

Therefore,

4πr² = 154

`=> 4xx22/7xx"r"^2 = 154`

`=> "r"^2 = (154xx7/88)`

`=> "r"^2 = 49/4`

`=> "r"^2 = (7/2)^2`

`=> r = 7/2 "cm"`

Volume of the sphere `=4/3pi"r"^3`

`= 539/3 "cm"^3`

`= 179 2/3 "cm"^3`