The rate of change of the volume of a sphere with respect to its surface area when the radius is 3 cm is: A. 1.5 cm B. 3 cm C. 0.5 cm D. 2 cm Answer: A) 1.5 cm Explanation: V = (4/3)πr³, S = 4πr². dV/dS = (dV/dr)/(dS/dr) = (4πr²)/(8πr) = r/2. At r = 3, dV/dS = 1.5 cm.

imo class 12 application of derivatives

The rate of change of the volume of a sphere with respect to its surface area when the radius is 3 cm is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The rate of change of the volume of a sphere with respect to its surface area when the radius is 3 cm is:

Answer: A) 1.5 cm

Explanation: V = (4/3)πr³, S = 4πr². dV/dS = (dV/dr)/(dS/dr) = (4πr²)/(8πr) = r/2. At r = 3, dV/dS = 1.5 cm.