Question

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

Answer 1

We are given the volume of a spherical tank = 790.272 π cubic feet.

We need to find the diameter of the container .

We know formula for volume of a sphere.

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

Where r is the radius.

Plugging V= 790.272 π in the above formula, we get

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

Dividing both sides by π, we get

790.272 =
`(4)/(3)(r^(3))`

Multiplying both sides by 3, we get

2370.816 =
`4r^3`

Dividing both sides by 4, we get

592.704 =
`r^3`

Taking cube root on both sides, we get

r=8.4.

Diamater is 2 times of radius, that is 2 × 8.4 = 16.8

Therefore, the diameter of the container = 16.8 feet.