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Rate of change of volume V = (4/3)πr³ of a sphere with radius:
A3πr²
B4πr³
Cπr²
D4πr² (= surface area of sphere)
Answer & Solution
Correct answer: D. 4πr² (= surface area of sphere)
dV/dr = 4πr². Equals surface area of sphere (the shell-area interpretation — V is integral of A from 0 to r).
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