Question : If the diameter of a sphere is 7 cm, find the volume of the sphere. (use $\pi=\frac{22}{7}$) (Rounded up to two decimal places).
Option 1: $184 \ \text{cm}^3$
Option 2: $201.34\ \text{cm}^3$
Option 3: $128.87 \ \text{cm}^3$
Option 4: $179.67 \ \text{cm}^3$
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Correct Answer: $179.67 \ \text{cm}^3$
Solution :
Given: The diameter of a sphere is 7 cm.
Volume of the sphere = $\frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere.
Volume of the sphere $=\frac{4}{3}\pi (\frac{7}{2})^{3}=\frac{4}{3}×\frac{22}{7}×(\frac{7}{2})^{3} = 179.67 \ \text{cm}^3$
Hence, the correct answer is $179.67 \ \text{cm}^3$.
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