Answer:
The volume of cylinder is:
49806.06 ft^3
Step-by-step explanation:
We are given a right circular cylinder with:
Height(h)=![22\frac{1}{4}ft=\dfrac{89}{4}ft](https://tex.z-dn.net/?f=22%5Cfrac%7B1%7D%7B4%7Dft%3D%5Cdfrac%7B89%7D%7B4%7Dft)
and a diameter is
times it's height.
i.e.
times it height.
i.e. the diameter is given as:
![\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.](https://tex.z-dn.net/?f=%5Cdfrac%7B12%7D%7B5%7D%5Ctimes%20%5Cdfrac%7B89%7D%7B4%7D%3D%5Cdfrac%7B267%7D%7B5%7Dft.)
We know that the radius of cylinder is half the diameter.
Hence, radius(r) of cylinder is:
![\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cdfrac%7B267%7D%7B5%7D%5C%5C%5C%5C%3D%5Cdfrac%7B267%7D%7B10%7D)
The volume(V) of cylinder is given by:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
![V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3](https://tex.z-dn.net/?f=V%3D3.14%5Ctimes%20%28%5Cdfrac%7B267%7D%7B10%7D%29%5E2%5Ctimes%20%5Cdfrac%7B89%7D%7B4%7D%5C%5C%5C%5CV%3D%5Cdfrac%7B19922423.94%7D%7B400%7D%5C%5C%5C%5CV%3D49806.06ft%5E3)
Hence, the volume of cylinder is:
49806.06 ft^3
Use the formula
1/3*pi*r^3*h=Volume
It is simple algebra
If the relative position of two sides is same in two figures, then they are called Corresponding Sides.
Xy = -900
x + y = 5
x + y = 5
x - x + y = -x + 5
y = -x + 5
xy = -900
x(-x + 5) = -900
x(-x) + x(5) = -900
-x² + 5x = -900
-x² + 5x + 900 = 0
-1(x²) - 1(-5x) - 1(-900) = 0
-1(x² - 5x - 900) = 0
-1 -1
x² - 5x - 900 = 0
x = -(-5) ± √((-5)² - 4(1)(-900))
2(1)
x = 5 ± √(25 + 3600)
2
x = 5 ± √(3625)
2
x = 5 ± 5√(145)
2
x = 2.5 ± 2.5√(145)
x + y = 5
2.5 ± 2.5 √(145) + y = 5
- (2.5 ± 2.5√(145) - (2.5 ± 2.5√(145)
y = 2.5 ± 2.5√(145)
(x, y) = (2.5 ± 2.5√(145), 2.5 ± 2.5√(145))
The two numbers that add up to 5 and multiply to -900 are 2.5 ± 2.5√(145).