If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases when the diameter is 9 cm.

Snow ball is melting with a rate of 0.265 cm per minute.

Step-by-step explanation:

Snow ball is a sphere in shape, so surface area of the ball will be represented by the formula,

S = 4πr²

If snow ball is melting, then cm² per minute

We have to find the rate of decrease in the diameter of the snow ball when the radius of the ball is = cm

Now

cm per minute

Therefore, the snow ball is melting with a rate of 0.265 cm per minute.

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