#### Question

Find the volume of a sphere whose surface area is 154 cm^{2}.

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

#### Solution

Let radius of sphere be *r*.

Surface area of sphere = 154 cm^{2}

⇒ 4π*r*^{2} = 154 cm^{2}

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

`rArr r^2=(7/2)cm = 3.5cm`

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

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

`=179 2/3cm^3`

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

Is there an error in this question or solution?

Solution Find the volume of a sphere whose surface area is 154 cm^2. Concept: Volume of a Sphere.