Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 12 ft high? (Round your answer to two decimal places.)

0.13 ft/min

Step-by-step explanation:

We are given that

We have to find the increasing rate of change of height of pile  when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r=

Volume of pile=

h=12 ft

Substitute the values

answer: we have from thales theorem that because the 2 triangles are similar, jm/jk=jn/jl. we have that jn=x, jl=x+24 and that jm=7 and jk=28. substituting, we get:

x/(x+24)=7/28.

hence, x/(x+24)=1/4. this leads to 4x=x+24, 3x=24, x=8. we have solved for x=jn and this is equal to 8.

step-by-step explanation:

the answer is 8

step-by-step explanation:

3.14 x 8x8