A spherical snowball is melting in such a way that it maintains its shape. The snowball is decreasing in volume at a constant rate of 8 cubic centimeters per hour. At what rate, in centimeters per hour, is the radius of the snowball decreasing at the instant when the radius is 10 centimeters? (The volume of a sphere of radius r is v = 4/3 πr3 .)

Explanation:

We have volume of sphere given by

Differentiating with respect to time

Given that

Substituting

The radius of the snowball is decreasing at a rate 6.37 x 10⁻³ cm/hr

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i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.