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

Answer:

The approximately volume of the tank is $V=137,189\ ft^{3}$

Step-by-step explanation:

we know that

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

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

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

$\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(32)^{3}$

$V=137,189\ ft^{3}$

Answer 2

Answer:

137189 cubic feet of water

Step-by-step explanation:

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

$V=\frac{4}{3}\pi r^{3}$

where r denotes radius of the sphere.

Now radius of the radius if given as $\frac{64}{2}$= 32 feet.

so volume V = $\frac{4}{3}$ (3.14) (32)³

                     = $\frac{(12.56)(32768)}{3}$

                     = 137188.69 cubic feet. ≈ 137189 cubic feet.

The tank can hold 137189 cubic feet of water.