Question

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

Answer 1

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

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

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

Where $r$ is the radius.

2. The diameter is:

$D=2r$

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

$r=\sqrt[3]{\frac{4V}{3\pi}}$ 

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

4. Then, the diameter is:

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