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To the nearest whole number, what is the surface area of a sphere with a volume of 140 cm3?


880 cm2

130 cm2

339 cm2

420 cm2

Verified Answer :

The answer should be 130 cm2

JeanaShupp

Answer: \(130\ cm^2\)

Step-by-step explanation:

We know that the volume of sphere is given by :-

\(\text{Volume}=\dfrac{4}{3}\pi r^3\), where r is radius of the sphere.

Given: Volume of sphere = \(140\ cm^3\)

i.e. \(\dfrac{4}{3}\pi r^3=140\\\\\Rightarrow\pi r^3=\dfrac{3}{4}\times140\\\\\Rightarrow r^3=\dfrac{105}{\pi}=33.422538\approx33.42\\\\\Rightarrow\ r=(33.42)^{1/3}\approx3.22\)

Now, the surface area of a sphere is given by :-

\(S.A.=4\pi r^2\\\\\Rightarrow\ S.A.=4(3.14)(3)^2=130.22710\approx130\ cm^2\)

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