Answer: [tex]130\ cm^2[/tex]
Step-by-step explanation:
We know that the volume of sphere is given by :-
[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex], where r is radius of the sphere.
Given: Volume of sphere = [tex]140\ cm^3[/tex]
i.e. [tex]\dfrac{4}{3}\pi r^3=140\\\\\Rightarrow\pi r^3=\dfrac{3}{4}\times140\\\\\Rightarrow r^3=\dfrac{105}{\pi}=33.422538\approx33.42\\\\\Rightarrow\ r=(33.42)^{1/3}\approx3.22[/tex]
Now, the surface area of a sphere is given by :-
[tex]S.A.=4\pi r^2\\\\\Rightarrow\ S.A.=4(3.14)(3)^2=130.22710\approx130\ cm^2[/tex]
