rate of change

[ender]

This diving me crazy please help!

A spherical snowball is melting in such a way that its volume is decreasing at a rate of 2 cm3/min. At what rate is the radius decreasing when the radius is 5 cm?

The radius of another spherical snowball is decreasing by 2 cm/min. Find the rate of change of the volume of this snowball when r = 5 cm.

 

[galactus]

You know the formula for the volume of a sphere?.

\(\displaystyle \L\\V=\frac{4}{3}{\pi}r^{3}\)

Differentiate with respect to time. Sub your values and solve for \(\displaystyle \L\\\frac{dr}{dt}\)