Question

Find the volume of a sphere whose surface area is 154 cm².

`["Assume "pi=22/7]`

 

Answer 1

Let the radius of the sphere be r.

Surface area of sphere = 154 cm²

⇒ 4πr² = 154 cm²

`rArr r^2=((154xx7)/(4xx22))cm^2`

r² = `(7/2) cm` = 3.5 cm

Volume of sphere = `4/3pir^3`

= `[4/3xx22/7x(3.5)^3]cm^3`

= `179 2/3  cm^3`

Therefore, the volume of the sphere is `179 2/3  cm^3`.