Hurry help plz exam 05 :The following sphere has a diameter of 11 inches.

What is the volume of the sphere? Use 3.14 for it and round your answer to the nearest tenth.
O 5,572.5 in^3
O 696.6 in^3
O 174.1 in^3
O 126.6 in^3

Hurry help plz exam 05 The following sphere has a diameter of 11 inches What is the volume of the sphere Use 314 for it and round your answer to the nearest ten class=

Respuesta :

Answer:

696.6 in³

Step-by-step explanation:

The formula for the volume of a sphere is 4/3πr³

The diameter of 11 in. is given. Therefore, the radius is 5.5 (11/2 = 5.5).

1. Set up the equation

4/3(3.14)(5.5³)

2. Solve

= 696.6 in³

Answer:

[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]

Step-by-step explanation:

Diameter = 11 inches

Radius = 5.5 inches

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 5.5 inches

Volume = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]

Volume = [tex]\frac{4}{3} (3.14)(166.375)[/tex]

Volume = [tex]\frac{2090.7}{3}[/tex]

Volume = 696.9 in.³

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