Find the slope of the line passing through the two points.
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Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.
The volume of a <u>sphere of radius r</u> is given by:
Applying <u>implicit differentiation</u>, the rate of change is of:
In this problem, we have that , thus:
The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.
A similar problem is given at brainly.com/question/11496075