If the radius of a spherical balloon is increased by 0·2%,
find the approximate percentage in its volume
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Answer: If the radius is r, then the rate of change of r with respect to time t, ddt(r)=2 cm/minute. Volume as a function of radius r for a spherical object is. V(r)=43⋅π⋅r3. We need to find ddt(V) at r = 14cm .... At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the
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