Question

The volume of a sphere is 4851 cm³. Find its curved surface area.

Answer 1

Let the radius of the sphere be r.

As,

Volume of the sphere = 4851 cm³ 

`=> 4/3pi"r"^3 = 4851`

`=> 4/3xx22/7xx"r"^3 = 4851`

`=> "r"^3=4851xx(3xx7)/(4xx22)`

`=>"r"^3 = 9261/8`

`=r=root(3)(9261/8)`

`=>r =21/2 "cm"`

Now,

Curved surface area of the sphere = 4πr²

`=4xx22/7xx21/2xx21/2`

= 1386 cm²

So, the curved surface area of the sphere is 1386 cm².