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

Answer:

Yes, it would be enough.

Explanation:

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

$V_{initial}=\pi (\frac{D}{2})^{2}h$

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:

$V_{new}=\pi (\frac{1.41D}{2})^{2}1.26h$    

$V_{new}=1.41^2*1.26\pi (\frac{D}{2})^{2}h$

$V_{new}=2.51\pi (\frac{D}{2})^{2}h$

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!