Question : A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?
Option 1: 252$\pi$ cm3
Option 2: 356$\pi$ cm3
Option 3: 144$\pi$ cm3
Option 4: 175$\pi$ cm3
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Correct Answer: 252$\pi$ cm 3
Solution : Outer radius, $R$ = 6 cm Inner radius, $r$ = 3 cm Volume of hollow sphere = $\frac{4}{3}×\pi × R^3 - \frac{4}{3}×\pi × r^3$ = $\frac{4}{3}×\pi × 6^3 - \frac{4}{3}×\pi × 3^3$ = $\frac{4}{3}×\pi × ( 6^3 - 3^3)$ = $\frac{4}{3}×\pi × ( 216 - 27)$ = $\frac{4×189}{3}×\pi$ = 252$\pi$ cm 3 Hence, the correct answer is 252$\pi$ cm 3 .
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