The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)

A.

14 cm\(^3\)

B.

210 cm\(^3\)

C.

1,400 cm\(^3\)

D.

2,100 cm\(^3\)

E.

4,300 cm\(^3\)

Correct answer is C

\(Surface area (A) = 4\pi r^{2} = 616m^{2}\)

solving, we have

\(r = 7m\)

\(Volume = \frac{4}{3}\pi r^{3}\)

\(Volume = \frac{4\times 3.142 \times 7^{3}}{3}\)

\(Volume = \frac{4310.824}{3}\)

= \(1436.941m^{3} \approxeq 1400m^{3}(2 sig. fig)\)