Respuesta :

Answer:

5.17

Step-by-step explanation:

The surface area of a sphere is 4[tex]\pi[/tex]r².

83.96=4[tex]\pi[/tex]r²

Divide by 4

20.99=3.14r²

divide by 3.14

6.6847=r²

take the square root

2.585=r

mulitply by 2 (diameter is twice the radius)

5.17

The diameter of the sphere is 5.17 inches.

What is surface area?

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called as the surface area.

The surface area of a sphere is 4πr².

83.96=4πr²

Divide by 4

20.99=3.14r²

Divide by 3.14

6.6847=r²

Take the square root.

2.585=r

Multiply by 2 (diameter is twice the radius).

r= 2 x 2.585

r = 5.17 inches

Therefore, the diameter of the sphere is 5.17 inches.

To know more about a surface area follow

https://brainly.com/question/1293273

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