Need help with wordy calculus questions

Question

 

 

 

 

Answer 1

(1).(a).

The derivatives dV/dt and dV/dr means :

The instantaneous rate of change of the balloon's volume with respect to time and radius respectively.

(1).(b).

(1).(c).

Answer 2

(2).

a) If the filter starts out full, how long does it take to empty?


b) Find the volume of water in the filter when the depth of the water is h cm.

c) How fast is the water level falling when the depth is 8cm?