The answer is:
The total area is:
[tex]TotalArea=192.4cm^{2}[/tex]
To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.
We know that the diameter of each sphere is 7 centimeters, so, calculating we have:
Calculating the radius we have,
[tex]diameter=2*radius\\\\radius=\frac{diameter}{2}=\frac{7cm}{2}=3.5cm[/tex]
Then, calculating the area, we have:
[tex]Area=\pi radius^{2}[/tex]
[tex]Area=\pi 3.5cm^{2}=38.49cm^{2}[/tex]
Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.
So, calculating we have:
[tex]TotalArea=5*38.48cm^{2}=192.4cm^{2}[/tex]
Hence, the total area is:
[tex]TotalArea=192.4cm^{2}[/tex]
Have a nice day!
Using the surface area of a sphere, it is found that the total surface area that will be painted is of 769.69 cm².
The surface area of a sphere of radius r is given by:
[tex]S = 4\pi r^2[/tex]
In this problem, we have five spheres, with radius(half the diameter) r = 3.5 cm, hence the total surface area in square centimeters is given by:
[tex]S_t = 5 \times 4\pi \times 3.5^2 = 769.69[/tex]
The total surface area that will be painted is of 769.69 cm².
More can be learned about surface area at https://brainly.com/question/13030328
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