Question

A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a larger tank whose capacity is 2.5 times the volume of the standards model. What is the approximate diameter of this larger tank?

Answer 1

diameter =8.1

Explanation:

The answer is from khan

Answer 2

`V = 113.04m^3` --- Standard Model

`Diameter = 15m` --- Larger Tank

Explanation:

Given

Standard Model

`Diameter = 6m`

Larger Tank

Diameter = 2.5 * Standard Model

Solving (a): Volume of Standard Model.

The tank is spherical; so, the volume (V) is as follows

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

Where

`r = (1)/(2)Diameter`

`r = (1)/(2) * 6m`

`r = 3m`

So:

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

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

`V = (4)/(3) * \pi * 27`

`V = 4 * \pi * 9`

`V = 4 * 9* \pi`

`V = 36* \pi`

Take
`\pi` as 3.14

`V = 36 * 3.14`

`V = 113.04m^3`

Solving (b): Diameter of the larger tank

Diameter = 2.5 * Standard Model

`Diameter = 2.5 * 6m`

`Diameter = 15m`