Gas is being pumped into a spherical balloon at the rate of 30 ft 3 /min. Then, the rate…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

Gas is being pumped into a spherical balloon at the rate of 30 ft3/min. Then, the rate at which the radius increases when it reaches the value 15 ft, is
  1. \(\frac{1}{\boldsymbol{\theta} \pi} \mathbf{f} / \min\)
  2. \(\frac{1}{5 \pi} \mathrm{f} / \mathrm{min}\)
  3. \(\frac{1}{0} \mathrm{f} / \mathrm{min}\)
  4. \(\frac{1}{\mathfrak{D}} \mathfrak{f} / \min\)

Answer

(A) 1 f /

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