Answer:
The swimming pool will contain approx
of water.
Step-by-step explanation:
Given the swimming pool is in a cylindrical shape.
And the dimensions are
diameter with a height of ![3.5\ feet.](https://tex.z-dn.net/?f=3.5%5C%20feet.)
Also, ![1\ ft^3 =7.5\ gal](https://tex.z-dn.net/?f=1%5C%20ft%5E3%20%3D7.5%5C%20gal)
First, we will find the volume of the swimming pool.
The swimming pool is in cylindrical shape.
So, the volume would be ![\pi r^2h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2h)
The height
is given as
To calculate radius
we will divide the diameter by two.
The radius of the cylinder would be ![\frac{20}{2}=10\ feet](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B2%7D%3D10%5C%20feet)
Plug these values in the formula we get,
![\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3](https://tex.z-dn.net/?f=%5Cpi%20r%5E2h%5C%5C%3D%5Cpi%5Ctimes%2010%5E2%5Ctimes%203.5%5C%5C%3D3.14%5Ctimes%20100%5Ctimes%203.5%5C%5C%3D1099%5C%20ft%5E3)
Now, it is given ![1\ ft^3 =7.5\ gal](https://tex.z-dn.net/?f=1%5C%20ft%5E3%20%3D7.5%5C%20gal)
So, ![1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal](https://tex.z-dn.net/?f=1099%5C%20ft%5E3%20%3D1099%5Ctimes%207.5%5C%20gal%3D8242.5%5C%20gal)
The swimming pool will contain approx
of water.
(0, 9) represents the y-intercept of the graph.
Since the slope is 1/3, this means that y will rise 1 for every 3 that x runs.
The points that can be used to make a line in this graph are (3, 10) and (6, 11).
Answer:
Dean and Candace
Step-by-step explanation:
F(x) = kx
12 = 8k
k = 12/8 = 3/2
Required equation is f(x) = 3/2 x
Answer:
4
Step-by-step explanation:
The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.
What's a cube root?
- The cube root of a number is the number you multiply by itself 3 times to get another number.
- One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.
Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.
- 1: 1 x 1 x 1 = 1.
- 2: 2 x 2 x 2 = 8.
- 3: 3 x 3 x 3 = 27.
- 4: 4 x 4 x 4 = 64. (This is the cube root!)
We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.
Have a lovely rest of your day/night, and good luck with your assignments! ♡