Question

Problem 11c

Answer 1

Given information

Find the time required to the pile to reach 90ft high,

Height of the silo h=100ft

radius r=200ft

radius of ore is  

at time t, height of the pile is 60ft

The rate of removal of ore is when the height of the pile is 90ft.

 

Step-by-step explanation

Step 1.

The time required for the pile to reach 90ft is

 

differential equation for the height after 9.1125 hours,

rate in-rate out

      =  

thus,

  

divide both side by