Question

An engineer wants to double the water supply reserve and makes a tank 1.26 times as big as the old one in linear dimension, and the diameter of the legs is 1.41 times as large. Is this big enough?

Answer 1

Yes, it would be enough.

Step-by-step explanation:

The volume of the tank (cylinder tank) is given by the following equation:

`V_(initial)=\pi ((D)/(2))^(2)h`

Where:

D is the diameter of the tank

h is the height of the tank

Now, the engineer makes a tank 1.26 times as big in heigh and 1.41 times as large with respect to diameter, then the new volume of this tank will be:

`V_(new)=\pi ((1.41D)/(2))^(2)1.26h`

`V_(new)=1.41^2*1.26\pi ((D)/(2))^(2)h`

`V_(new)=2.51\pi ((D)/(2))^(2)h`

in terms of the initial volume:

`V_(new)=2.51V_(initial)`

Which means that the volume of the water could be doubled.

I hope it helps you!