Question

Five spheres are being painted for a display at a store. If the diameter of each sphere is

Answer 1

Hello!

The answer is:

The total area is:

$TotalArea=192.4cm^{2}$

Why?

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,

$diameter=2*radius\\\\radius=\frac{diameter}{2}=\frac{7cm}{2}=3.5cm$

Then, calculating the area, we have:

$Area=\pi radius^{2}$

$Area=\pi 3.5cm^{2}=38.49cm^{2}$

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:

$TotalArea=5*38.48cm^{2}=192.4cm^{2}$

Hence, the total area is:

$TotalArea=192.4cm^{2}$

Have a nice day!