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What is the rate of change of a sphere's volume with respect to its radius at r = 10 cm?

A400π cm³/cm
B40π cm³/cm
C100π cm³/cm
D200π cm³/cm
Answer & Solution
Correct answer: A. 400π cm³/cm
dV/dr = 4πr² = 4π × 100 = 400π.
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