Answer: The answer is 113.14 [tex]cm^{2}[/tex]. The detailed answer is given below:
Step-by-step explanation:
volume of sphere = [tex]4/3 \pi r^{3}[/tex] ∴ where radius = r
=[tex]792/7[/tex]
now, we find r.
[tex]4/3 \pi r^{3}[/tex] = [tex]792/7[/tex]
⇒[tex]\pi r^{3}[/tex] = 792/7 x 3/4 ( bring 3/4 to RHS )
⇒[tex]r^{3}[/tex] = 594/7 x 7/22 ( bring [tex]\pi[/tex] to RHS )
⇒[tex]r^{3}[/tex] = 27
⇒r = [tex]\sqrt{27}[/tex]
⇒r = 3 _(1)
surface area of sphere = [tex]4\pi r^{2}[/tex]
= 4 x 22/7 x [tex]3^{2}[/tex] ( from _(1) )
= 113.14 [tex]cm^{2}[/tex]
