Sand falls from a conveyor belt at a rate of 40 m^3/min onto the top of a conical pile. The height of the pile is always 3/5 of the base diameter. Answer the following.

a.) How fast is the height changing when the pile is 8 m high?
Answer = m/min.

b.) How fast is the radius changing when the pile is 8 m high?

Question

Sand falls from a conveyor belt at a rate of 40 m^3/min onto the top of a conical pile. The height of the pile is always 3/5 of the base diameter. Answer the following.

a.) How fast is the height changing when the pile is 8 m high?
Answer =  m/min. 

b.) How fast is the radius changing when the pile is 8 m high?

anonymous · Answer

Related rates, so find the volume first and find its derivative to see the height changing

anonymous · Answer

Pretty much the same process with radius, just have to plug in h