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:

Step-by-step explanation:
Use the Pyhagorean theorem:

We have

Substitute:

<em>subtract 49 from both sides</em>

Volume of one cubic block = (1/6)^3 = 1/216 cu ins
Volume of the prism = 1/3 * 2/3 * 2/3 = 4/27 cu ins
Number of blocks to fill prism = 4/27 / 1/216 = (216*4) / 27 = 32
Area of Rectangle = Width × Length
Vegetable Garden
Width = 20
Length = 45
Area of Vegetable Garden = 20×45=900 Sq ft
Area of Entire Garden = Width × Length
Width = 20 + 2x
Length = 45 + 2x
Area = (20 + 2x)(45 + 2x)
(2x + 20)(2x + 45)
4x^2 + 90x + 45x + 900
Area of Entire Garden = 4x^2 + 135x + 900
Area of Flower Garden = Area of Entire Garden - Area of Vegetable Garden
(4x^2 + 135x + 900) - (20 × 45)
4x^2 + 135x + 900 - 900
Area of Flower Garden = 4x^2 + 135x