Question

find the volume of a sphere whose surface area is 154 cm2 surface area of sphere =154 cm2 s.a of sphere = 4πr2​

Answer 1

SA=154cm cube

SA of sphere = 4π^2

154 = 4×22/7×r^2

r^2=154×7/4×22

= 49/4

r = 12.25cm

volume of sphere = 4/3πr^2

= 4/3×22/7×12.25×12.25×12.25

= 7483.116

Answer 2

Let r be the radius of a sphere.

Surface area of sphere = ${154cm}^{2}$

$4πr2 = {154 cm}^{2}$

$r^2$= $(\frac{154×7}{4 ×22})$

$r$ = $\frac{7}{2}$

Radius is $\frac{7}{2}$ cm

Now,

Volume of the sphere = $\frac{4}{3} πr3$

$( \frac{4}{3}) \times ( \frac{22}{7} ) \times{( \frac{7}{2}) }^{3}$

${=179}$$\huge\frac{2}{3}$cm$^3$

Volume of sphere is ${=179}$$\huge\frac{2}{3}$cm$^3$