Question:
If the surface areas of two spheres are in the ratio of 9: 49, then the ratio of their volumes is: (Where π = 22/7)
यदि दो गोलों के पृष्ठीय क्षेत्रफलों का अनुपात 9: 49 है, तो उनके आयतनों का अनुपात है: (जहाँ π = 22/7)
Options:
- a) 27 : 343
- b) 16 : 216
- c) 9 : 49
- d) 3 : 7
- a) 27 : 343
- b) 16 : 216
- c) 9 : 49
- d) 3 : 7
correct answer : a)
Explanation:
Ratio of surface areas A1/A2 = (R1/R2)^2 = 9/49 => R1/R2 = 3/7. Ratio of their volumes V1/V2 = (R1/R2)^3 = (3/7)^3 = 27/343.
पृष्ठीय क्षेत्रफलों का अनुपात A1/A2 = (R1/R2)² = 9/49 => R1/R2 = 3/7। उनके आयतनों का अनुपात V1/V2 = (R1/R2)³ = (3/7)³ = 27/343 है।