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Class 12 Applications Of Derivatives · Conceptual Answer1 Marksrelated_rates

Class 12 Maths · Applications Of Derivatives · Conceptual Answer #91

In consistent numerical units, a sphere volume and radius have equal nonzero numerical time rates. Find its radius.

✅ Step-by-Step Solution

Final Answer: 1/(2√π) units
  1. V̇=4πr²ṙ=ṙ and ṙ≠0 give 4πr²=1. The positive root is r=1/(2√π).
  2. 1/(2√π) units

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] V̇=4πr²ṙ=ṙ and ṙ≠0 give 4πr²=1. The positive root is r=1/(2√π).
  • [0.5 marks] 1/(2√π) units

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