Class 12 Applications Of Derivatives · Conceptual Answer1 Marksrelated_rates
Class 12 Maths · Applications Of Derivatives · Conceptual Answer #37
Find dV/dS for a sphere of radius 2 cm, where V is its volume and S its surface area.
✅ Step-by-Step Solution
Final Answer: 1 cm³/cm²
- V=4πr³/3 and S=4πr², so dV/dS=(4πr²)/(8πr)=r/2=1 at r=2.
- 1 cm³/cm²
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] V=4πr³/3 and S=4πr², so dV/dS=(4πr²)/(8πr)=r/2=1 at r=2.
- [0.5 marks] 1 cm³/cm²
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