NCERT Class 12 · Ch 6 Exercise 6.1 · Q9
NCERT Class 12 Maths · Chapter 6 Applications Of Derivatives · Exercise 6.1 Question 9
For a spherical balloon, find dV/dr at radius 10 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: 400π cm².
- V=4πr³/3, so dV/dr=4πr².
- At r=10 this is 400π cm³/cm. No time rate is specified or required.
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