Question

If the surface area of a sphere is 144π m², then its volume (in m³) is 

पर्याय

• 288 π

• 316 π

• 300 π

• 188 π

Answer 1

In the given problem,

Surface area of a sphere =  144 π m²

So,

` 4 pi r^2 = 144 pi `

`r^2 = 144/4`

`r^2 = 36`

`r = sqrt(36)`

r = 6 

Now, using the formula volume of the sphere, we get

`4/3 pi r^3 = 4/3 pi (6)^3`

         ` = 4/3 pi (216)`

           `= 288 pi`

Therefore, volume of the sphere is `288 pi`  .