Simply 12(-2x+3)-3x+9(x-9)
2 answers:
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Answer:
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere of radius r is given by:
In this question:
We have to derivate V and r implicitly in function of time, so:
The radius of a sphere is increasing at a rate of 3 mm/s.
This means that
How fast is the volume increasing when the diameter is 60 mm?
Radius is half the diameter, so . We have to find
. So
The volume is increasing at a rate of 33929.3 cubic millimeters per second.