Five spheres are being painted for a display at a store. if the diameter of each sphere is
7 centimeters, which value is closest to the total surface area that will be painted?

The answer is:

The total area is:

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,

Then, calculating the area, we have:

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:

Hence, the total area is:

Have a nice day!

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.