Question

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.

Answer 1

(4,312)/3 cubic ft.

Explanation:

A spherical storage tank has a diameter of 14 ft

volume of a sphere =
`(4)/(3)\pi *r^3`

r is the radius of the sphere

Diameter = 14 ft

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

volume of a sphere =
`(4)/(3)\pi *7^3`

WE use 22/7 for pi

`(4)/(3)*(22)/(7)*7^3`

`(4312)/(3)`

Answer 2

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.