Math answers to fraction 18/25 can be calculated as follows.
18/25 math problems division = 0.72.
0.72 to 2 decimal places= 0.72
18/25 divided by 2 » (18/25) ÷ 2 » 0.72 ÷ 2 = 0.36
Answer:
![(x-5)^2+(y-2)^2=9\\](https://tex.z-dn.net/?f=%28x-5%29%5E2%2B%28y-2%29%5E2%3D9%5C%5C)
Step-by-step explanation:
So, you basically want the equation of the circle.
Given:
Center(C): ![C(5, 2)](https://tex.z-dn.net/?f=C%285%2C%202%29)
![r=3](https://tex.z-dn.net/?f=r%3D3)
The equation of circle is:
![(x-h)^2+(y-k)^2=r^2\\](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2%5C%5C)
Where,
represents the center point and
is the radius of the circle.
Plotting the values in the equation:
![(x-5)^2+(y-2)^2=3^2\\](https://tex.z-dn.net/?f=%28x-5%29%5E2%2B%28y-2%29%5E2%3D3%5E2%5C%5C)
![(x-5)^2+(y-2)^2=9\\](https://tex.z-dn.net/?f=%28x-5%29%5E2%2B%28y-2%29%5E2%3D9%5C%5C)
This is the equation of the circle of center (5, 2) and radius 3.
To get the surface area of the sphere, we need to know the radius. Since the volume is given, we can get the radius.
Volume =
![\frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20)
π r³
5000πm³ =
![\frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20)
π r³
5000m³ =
![\frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20)
r³
5000m³ x 3 = 4r³
![\frac{15000m³}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15000m%C2%B3%7D%7B4%7D%20)
=
![\frac{4r³}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4r%C2%B3%7D%7B4%7D%20)
<span>
</span>∛3750 = ∛r³
r = 15.536m
r = 15.54m
Since the radius is now known, substitute it directly to the surface area formula
A = 4π x r²
A = 4π x (15.54)²
A= 3,034.67 m² or 3,035 m²
<h3>given:</h3>
height= 15 cm
radius= 5
<h3>to find:</h3>
the volume of the cylinder.
<h3>solution:</h3>
![v = \pi {r}^{2} h](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
![v = \pi \times {5}^{2} \times 15](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%5Ctimes%20%20%7B5%7D%5E%7B2%7D%20%20%5Ctimes%2015)
![v = 1178.09725 \: {cm}^{3}](https://tex.z-dn.net/?f=v%20%3D%201178.09725%20%5C%3A%20%20%7Bcm%7D%5E%7B3%7D%20)