Respuesta :

BKWong2007

Answer:

1372 cubic ft.

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi 7^3[/tex]

[tex]V=\frac{4}{3} \pi 343[/tex]

[tex]V=457\frac{1}{3} \pi[/tex]

Since pi is 3 to find the approximate answer, do:
[tex]V=457\frac{1}{3} (3)[/tex]

[tex]V=1372[/tex]

Hence, the volume of the sphere is approximately 1372 cubic ft.

CrystalQueen

Answer:

V = 1,372 ft³

Step-by-step explanation:

You have been given the equation necessary for calculating the volume of a sphere:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

In this formula, "V" represents the volume, "π" is the given value (3), and "r" is the radius. While you have not been given the radius, you have been given the diameter (14 ft). The radius is half of the diameter.

radius = diameter / 2

radius = 14 ft / 2

radius = 7 ft

Now, you can plug this value into the formula and simplify to find the volume.

 [tex]V = \frac{4}{3}\pi r^{3}[/tex]                                         <----- Volume formula

[tex]V = \frac{4}{3} * (3) *r^{3}[/tex]                               <----- Plug 3 in for "π"

[tex]V = \frac{4}{3} * (3) * 7^{3}[/tex]                                <----- Plug 7 in for "r"

[tex]V = \frac{4}{3} * (3) * (343)[/tex]                           <----- Solve 7³

[tex]V = 1,372 ft^{3}[/tex]                                   <----- Multiply all the terms together

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