Question
Download Solution PDFIf the surface area of a sphere S1 is 800% greater than that of sphere S2, and the volume of sphere S2 is x% lower than sphere S1, then ‘x’ in terms of percentage is: (Rounded off to two places of decimals)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
As per question,
⇒ Surface Area of S1 : Surface Area of S2 = 9 : 1
⇒ 4πR2 : 4πr2 = 9 : 1
⇒ R : r = 3 : 1
⇒ Volume of S1 : Volume of S2 = R3 : r3
⇒ Volume of S1 : Volume of S2 = 33 : 13
⇒ Volume of S1 : Volume of S2 = 27 : 1
Percentage by which volume of S2 is lower than S1 = x %
x% = [(27 -1)/27] × 100 = (26/27) × 100 ≈ 96.29%
∴ The correct answer is Option (3).
Last updated on Jul 8, 2025
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