Explanation
Explanation
Step A: Differential Equation banana
Volume ka formula derivative ke saath likhne par:
Step B: Integration (Samakalan)
Variables ko separate karke integrate karte hain:
--- (Equation 1)
Step C: Constant C nikaalna (Initial Condition)
Diya gaya hai ki t=0 par radius r=4 units hai:
Step D: Constant k nikaalna
Diya gaya hai ki t=3 par radius r=6 units hai:
3k ki value nikaalne ke liye subtract karenge:
3k=288π−3256π=3864π−256π=3608π
3. Final Equation for Radius (r)
Ab in values ko wapas Equation 1 mein rakhte hain:
Puri equation ko (34π) se divide karne par:
r3=(9608π×4π3)t+(3256π×4π3)
Ab r nikaalne ke liye cube root lenge:
