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: Option C
Explanation
(Surface area (A) = 4pi r^{2} = 616m^{2})
solving, we have
(r = 7m)
(Volume = frac{4}{3}pi r^{3})
(Volume = frac{4times 3.142 times 7^{3}}{3})
(Volume = frac{4310.824}{3})
= (1436.941m^{3} approxeq 1400m^{3}(2 sig. fig))