Homework Help: math

Posted by Rav on Monday, November 12, 2012 at 10:30pm.

A spherical ball is being filled with air. When the radius r=7cm, the radius is increasing at a rate 2 cm/s. How fast is the volume changing at this time (leave your answer approximate)?

math - Reiny, Monday, November 12, 2012 at 11:27pm
V = (4/3)πr^3
dV/dt = 4πr^2 dr/dt

when r = 7 , dr/st = 2

dV/dt = 4π(49)(2) = 392π cm^3/sec
= appr 1231.5

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