Question

find the volume of a sphere whose surface area is 154cm²​

Answer 1

Sphere
Solve for volume
V≈179.7cm³
A Surface area

cm²

Answer 2

Given :

★ Surface Area of Sphere = 154 cm²

To Find :

★ Volume of the Sphere .

Formula Used :

$\dagger\:\:\sf{( Surface\:Area\:of\:Sphere=4\pi{r}^{2})}$

Solution :

Surface Area of Sphere = 154 cm²

4πr² = 154 cm²

4 × 22/7 × r² = 154 cm²

7 × 154/4 × 22 = r²

√49/4 = r²

7/2 = r

Hence , The Radius of the Sphere is 7/2.

Formula Used :

$\dagger\:\:\sf{( Volume=\dfrac{4}{3}\pi{r}^{3})}$

Now :

4/3 × 22/7 × 7/2 × 7/2 × 7/2

539/3

179.66 cm²

Hence , The Volume of the Sphere is 179.66 cm² .