NCERT Class 12 · Ch 6 Exercise 6.1 · Q8
NCERT Class 12 Maths · Chapter 6 Applications Of Derivatives · Exercise 6.1 Question 8
A spherical balloon receives 900 cm³/s of gas. Find its radius rate at r=15 cm.
💡 Concept Hints
- Identify the domain and the inner and outer functions, or the relevant one-sided limits.
- Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.
✅ Step-by-Step Solution
Final Answer: 1/π cm/s.
- V=4πr³/3 gives Vₜ=4πr²rₜ.
- Thus rₜ=900/(4π·15²)=1/π cm/s.
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