Answer: [tex]130\ cm^2[/tex]
Step-by-step explanation:
The volume of sphere is given by :-
[tex]V=\dfrac{4}{3}\pi r^3[/tex], where r is radius of sphere.
Given : The volume of sphere = [tex]140\ cm^3[/tex]
[tex]\Rightarrow\ 140=\dfrac{4}{3} (3.14) r^3\\\\\Rightarrow\ r^3=\dfrac{140\times3}{4\times (3.14)}\\\\\Rightarrow\ r^3=33.4394904459\approx33.44[/tex]
Taking cube root on both sides , we get
[tex]r=\sqrt[3]{33.44}=3.22171078046\approx3.22\ cm[/tex]
The surface area of sphere is given by :-
[tex]S.A=4\pi r^2\\\\\Rightarrow\ S.A.=4(3.14)(3.22)^2\\\\\Rightarrow\ S.A.=130.227104\approx130\ cm^2[/tex]
