Question:
If the volume of a sphere is divided by its surface area, we obtain 27 cm. The radius of the sphere is
If the volume of a sphere is divided by its surface area, we obtain 27 cm. The radius of the sphere is
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Remember: $\dfrac{V}{S}$ for a sphere simplifies to $\dfrac{r}{3}$ — a fast one-step solve.
Updated On: Aug 11, 2025
- 9 cm
- 81 cm
- 27 cm
- 24 cm
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The Correct Option is B
Solution and Explanation
For a sphere, $\dfrac{\text{Volume}}{\text{Surface Area}}=\dfrac{\frac{4}{3}\pi r^3}{4\pi r^2}=\dfrac{r}{3}$.
Given $\dfrac{r}{3}=27 \Rightarrow r=81\text{ cm}$.
Hence, the radius is $81$ cm.
Given $\dfrac{r}{3}=27 \Rightarrow r=81\text{ cm}$.
Hence, the radius is $81$ cm.
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