Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high is the pile (to the nearest hundredth of a foot) when it contains 1110 ft3 of grain?

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:

D=3h

We know that diameter = 2r, where r is the radius

2r=3h

Volume of conical pile is given by formula

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.