The amount of paint is the volume of paint needed.
The amount of paint needed is 0.065312 cubic meters
<h3>How to determine the amount of paint needed</h3>
The volume of a hemisphere is:
![V = \frac 23\pi r^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%2023%5Cpi%20r%5E3)
Differentiate the above equation
![V' = 2\pi r^2 r'](https://tex.z-dn.net/?f=V%27%20%3D%202%5Cpi%20r%5E2%20r%27)
The above equation represents the estimate of the amount of paint needed.
Where:
- r represents the radius (r = 52/2 m)
- r' represents the thickness (r' = 0.04 cm)
So, we have:
![V' = 2\pi r^2 r'](https://tex.z-dn.net/?f=V%27%20%3D%202%5Cpi%20r%5E2%20r%27)
![V' = 2 * 3.14 * (52/2\ m)^2 * (0.04cm)](https://tex.z-dn.net/?f=V%27%20%3D%202%20%2A%203.14%20%2A%20%2852%2F2%5C%20m%29%5E2%20%2A%20%280.04cm%29)
![V' = 2 * 3.14 * (26\ m)^2 * (0.04cm)](https://tex.z-dn.net/?f=V%27%20%3D%202%20%2A%203.14%20%2A%20%2826%5C%20m%29%5E2%20%2A%20%280.04cm%29)
Express cm as m
![V' = 2 * 3.14 * (26\ m)^2 * (0.0004m)](https://tex.z-dn.net/?f=V%27%20%3D%202%20%2A%203.14%20%2A%20%2826%5C%20m%29%5E2%20%2A%20%280.0004m%29)
![V' = 0.065312 m^3](https://tex.z-dn.net/?f=V%27%20%3D%200.065312%20m%5E3)
Hence, the amount of paint needed is 0.065312 cubic meters
Read more about volumes at:
brainly.com/question/10171109
5y+8=0 --> 5y = -8 --> y = -8/5