Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always threethree times its height. suppose the height of the pile increases at a rate of 22 cm divided by scm/s when the pile is 1616 cm high. at what rate is the sand leaving the bin at that instant?

159241.048 cm³/s

Explanation:

r = Radius = 3×height = 3h

h = height = 16 cm

Height of the pile increases at a rate =

Differentiating with respect to time

∴ Rate is the sand leaving the bin at that instant is 159241.048 cm³/s

r=rho l/a where a is the area, l is the length and rho is resistivity so the greater the area the lesser the resistance thats why the earth pin is thicker bcos current follow the shortest path, so less resistive .