## If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases when the diamet

Question

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## Answers ( )

Answer:0.0723 cm/min

Step-by-step explanation:A snowball is spherical, so it’s area is given by the following formula:

The radius is half the diameter, so:

If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.This is when

Applying implicit differentiation:We have to variables(A and d), so:

So the answer is0.0723 cm/min