Question

The surface area of a sphere is 576pi cm2. What will be it's volume?

Answer 1

$Here\: is\: your\: answer\:$

The Surface area of a sphere = 576π sq cm.

Now,

4π$r^{2}$ = 576π cm
=> $r^{2}$ = 576×7×22/4×22×7 cm
=> $r^{2}$ = 144 cm
=> $r^{2}$ = $12^{2}$ cm
=> r = 12. cm

Now,
Volume of the sphere

= $\frac{4}{3} πr^{3}$ cubic cm

= $\frac{4}{3} π12^{3}$ cubic cm

= $\frac{4}{3} π×1728$ cubic cm

= $\frac{4}{3}×\frac{22}{7}×1728$ cubic cm

= $\frac{4}{7}×22×576$ cubic cm

= 7241.1428 cubic cm(approx)

$Hope\: this\: helps\: you\:$

Answer 2

we know surface area of sphere = 576 π
4πr^2 = 576π
4r^2 = 576
r^2 = 144
r= √144
r= 12cm

now volume of sphere = 4/3πr^3
using r= 12
volume = 4/3 *π*12*12*12
volume = 4*22/7*12*12*4
volume = 50688/7
volume = 7241.1cm^3


hence ans is 7241.1cm ^3

hope my answer was helpful