The ratio of the volume of two spheres is 8:27. What is the ratio of their surface areas? दो गोलों के आयतन का अनुपात 8:27 है। उनके पृष्ठीय क्षेत्रफल का अनुपात क्या है?
A
2:3 (2:3)
B
4:9 (4:9)
C
5:6 (5:6)
D
16:81 (16:81)
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Correct Answer 4:9
Explanation
Volume ratio $V_1/V_2 = (r_1/r_2)^3 = 8/27$. So, radius ratio $r_1/r_2 = 2/3$. Surface area ratio $A_1/A_2 = (r_1/r_2)^2 = (2/3)^2 = 4/9$.