Ask Your Teacher If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at which the diameter decreases when the diameter is 9 cm.

The diameter decreases at the rate of 0.1768 cm/min when the diameter is 9 cm.

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 10 cm2/min, find the rate at which the diameter decreases when the diameter is 9 cm.

This is when

Applying implicit differentiation:

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

The diameter decreases at the rate of 0.1768 cm/min when the diameter is 9 cm.

c

c

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c

step-by-step explanation: