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\(^3\)
waec 2020mathematics

The correct answer is C. 905 cm\(^3\)

Given, diameter= 12cm.

So, radius= \(\frac{\text{diameter}}{2} = \frac{12}{2} = 6 \text{ cm} \)

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

\(V= \frac{4}{3} \pi \times 6^3 \)

\(V = \frac{4}{3} \pi \times 216 \)

\(V= 905.143 \text{ cm}^3 \)

Therefore, the volume of the sphere is 905.14 cubic centimeters.

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