Question

A water tower is shaped like a sphere. If the water tank measures 64 feet across, approximately how many cubic feet of water does the tank hold? Use π = 3.14.

Answer 1

137189 cubic feet of water

Explanation:

As we know water tower is in the shape of an sphere and formula to calculate the volume of sphere is

`V=(4)/(3)\pi r^(3)`

where r denotes radius of the sphere.

Now radius of the radius if given as
`(64)/(2)`= 32 feet.

so volume V =
`(4)/(3)` (3.14) (32)³

=
`((12.56)(32768))/(3)`

= 137188.69 cubic feet. ≈ 137189 cubic feet.

The tank can hold 137189 cubic feet of water.

Answer 2

The approximately volume of the tank is
`V=137,189\ ft^(3)`

Explanation:

we know that

The volume of the sphere is equal to

`V=(4)/(3)\pi r^(3)`

we have

`D=64\ ft` -----> the diameter is given

`r=64/2=32\ ft` ----> the radius is half the diameter

`\pi =3.14`

substitute

`V=(4)/(3)(3.14)(32)^(3)`

`V=137,189\ ft^(3)`