The diameter of a sphere is 12 cm. Calculate, correct of the nearest cm\(^3\), the volume of the sphere, [Take \(\pi = \frac{22}{7}\)]
A
903 cm\(^3\)
B
904 cm\(^3\)
C
905 cm\(^3\)
D
906 cm\(^3\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Volume of sphere = \(\frac{4}{3}\)\(\pi\)r\(^3\)
diameter = 12cm ⇒ r = 6cm
V. of sphere = \(\frac{4}{3}\) x \(\frac{22}{7}\) x 6\(^3\) \(\approxeq\) 905cm\(^3\)
Source: Myschool Past Questions Archive (Record #58347)