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A spherical storage tank has a diameter of 14 ft. How many cubic feet of water will it hold? (Use = .)

(704)/3 cubic ft.
(34,496)/3 cubic ft.
(4,312)/3 cubic ft.

Respuesta :

sqdancefan
V = (π/6)d^3
Using π = 22/7 and d = 14 ft, the volume is
  V = (22/7)/6*(14 ft)^3 = 4,312/3 ft^3

The 3rd selection is appropriate.

Answer:

(4,312)/3 cubic ft.

Step-by-step explanation:

A spherical storage tank has a diameter of 14 ft

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

r is the radius of the sphere

Diameter = 14 ft

Radius = diameter /2 = 14/2 = 7 ft

volume of a sphere = [tex]\frac{4}{3}\pi *7^3[/tex]

WE use 22/7 for pi

[tex]\frac{4}{3}*\frac{22}{7}*7^3[/tex]

[tex]\frac{4312}{3}[/tex]

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