# A cilinder has a radius of 5 cm and on top of the cilinder there is a funnel of 25 cm radius. Every hour, 2 liters of water comes in the cilinder. How do you know how high the water is standing in the cilinder in 5 hours ?

## The basis of the cilinder is parallel with the funnel.

Jul 5, 2017

#### Answer:

The water will reach a height of 127.33 cm (rounded to 2 decimal places)

#### Explanation:

Recall that the volume of a cylinder is

$V = \pi \cdot {r}^{2} \cdot h$

We know the volume (10 litres after 5 hours), the radius ( 5 cm) and $\pi$ is a constant. So recalling that one litre is equivalent to 1000 cubic centemetres we can fill in the known values

$10000 = \pi \cdot {5}^{2} \cdot h$

$10000 = 3.1415 \cdot 25 \cdot h$

So $h = \frac{10000}{3.1415 \cdot 25}$

$h = 127.33$ cm