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Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:
In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So
Surface area decreases at a rate of 9 cm2/min
This means that
At which the diameter decreases when the diameter is 10 cm?
This is when
. So
Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.