Question

chicago crown fountain has two towers at each end of a shallow pool. The towers display faces that occasionally spray water at visitors. The dimensions in feet of each tower are n, n-7 and n+27,Use the formula V=lwh and algebra to write a polynomial in standard form for the volume of each tower. Understand: What is being asked in the problem and what does that mean?Think: What do I know and what does it mean? What plan am I going to try?Use your standard form equation from Part A to find the volume of each tower when n = 23 feet. Show ALL work anduse algebra.Understand: What is being asked in the problem and what does that mean?Think: What do I know and what does it mean? What plan am I going to try?

Answer 1

Given: The dimensions in feet of each tower are n, n-7, and n+27

The problem asks to find the volume of the tower

The volume is given by the formula: V = lwh

Where (l) is the length, (w) is the width, (h) is the height

So, l = n, w = n - 7, h = n + 27

So, the volume is:

`V=\text{lwh}=n(n-2)(n+27)`

Use your standard form equation from Part A to find the volume of each tower when n = 23 feet

So, we will substitute with n = 23 into the given equation of the volume

So,

`V=23\cdot(23-2)\cdot(23+27)=23\cdot21\cdot50=24,150ft^3`

So, the volume of the tower - 24,150 ft³