Question

The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container

Answer 1

The diameter is 13.88 feet.

Explanation:

1. The formula for calculate the volume of a sphere is:

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

Where
`r` is the radius.

2. The diameter is:

`D=2r`

3. So, you must solve for the radius in the first equation:

`r=\sqrt[3]{(4V)/(3\pi)}`

`r=\sqrt[3]{(4(790.272ft^(3) ))/(3\pi)}\\r=6.94ft`

4. Then, the diameter is:

`D=2(6.94ft)\\D=13.88ft`