Question

A rancher needs to build a water storage tank for her cattle. The cattle drink 3 cubic meters of water each day and the rancher wants the new tank to hold a 5-day supply of water. If the new tank has a radius of 2 meters, how tall will the tank need to be?

Answer 1

The height of the storage tank would be approximately 1.2 m.

Explanation:

The cattle drink 3 cubic meters of water each day.

For 5 days,

the cattle would drink = 3 cubic meters x 5

= 15 cubic meters of water

Thus,

The volume of the storage tank = 15 cubic meters

But,

volume of a cylinder =
`\pi`
`r^(2)`h

where r is the radius and h the height.

So that,

15 =
`(22)/(7)` x
`2^(2)` x h

15 =
`(22)/(7)` x 4 x h

15 = 12.57h

h =
`(15)/(12.57)`

= 1.1933

h = 1.2 m

The height of the storage tank would be approximately 1.2 m.