The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)
- 14 cm\(^3\)
- 210 cm\(^3\)
-
1,400 cm\(^3\)
- 2,100 cm\(^3\)
- 4,300 cm\(^3\)
The correct answer is: C
Explanation
\(Surface area (A) = 4\pi r^{2} = 616m^{2}\)
solving, we have
\(r = 7m\)
\(Volume = \frac{4}{3}\pi r^{3}\)
\(Volume = \frac{4\times 3.142 \times 7^{3}}{3}\)
\(Volume = \frac{4310.824}{3}\)
= \(1436.941m^{3} \approxeq 1400m^{3}(2 sig. fig)\)