
Rate of Change
A spherical baloon is being filled at a rate of https://mathsta.csem.flinders.edu.au...mjoeeebdjc.gifcm https://mathsta.csem.flinders.edu.au...mjppokcdcp.gif/s. At what rate is the surface area expanding when the radius is https://mathsta.csem.flinders.edu.au...kiljclohgd.gifcm?
V = 4/3*Pi*r^3
V`=4*Pi*r^2*r`
r`= V`/(4Pi*r^2)
V` = 10, r = 11
r` = 5/(242*Pi) cm/s
Is this correct???

1 Attachment(s)
Re: Rate of Change
Attachment 29229 we have been asked to find the rate at which the surface area is expanding.

1 Attachment(s)
Re: Rate of Change
No. The question is to calculate the rate of change of the surface at R = 11 cm3.
Attachment 29230

Re: Rate of Change