So I'm having trouble starting this problem.

A spherical snowball is melting in such a way that its radius is decreasing at the rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the radius is 8 cm?

Any suggestions?

Printable View

- March 11th 2010, 06:26 PMascendancy523rate change word problem
So I'm having trouble starting this problem.

A spherical snowball is melting in such a way that its radius is decreasing at the rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the radius is 8 cm?

Any suggestions? - March 11th 2010, 07:34 PMsa-ri-ga-ma
Volume of the sphere V = 4/3*π*r^3

dV/dt = 4/3*π*3*r^2*dr/dt.

Substitute the values to get the result. - March 12th 2010, 12:10 AMPeltierC
- March 12th 2010, 02:59 AMsa-ri-ga-ma