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Class 10 › Mathematics › Surface Areas and Volumes
CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
Volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is:
A. 4 : 3
B. 3 : 4
C. 16 : 9
D. 9 : 16
✅ Answer & Solution
✅ Correct Answer: C
Ratio of volumes $=\left(\frac{r_1}{r_2}\right)^3=\frac{64}{27} \Rightarrow \frac{r_1}{r_2}=\frac43$. Ratio of surface areas $=\left(\frac{r_1}{r_2}\right)^2 = \left(\frac43\right)^2=\frac{16}{9}$
