To solve for this, we need to understand what a ratio is. A ratio is a comparison between two things. (in numbers) In this case, between pools and hours:

pools:hours

A fraction is also a ratio, in this case we have 2/5, which also compares pools to hours, so we can turn this into a more proper ratio form:

2 pools: 5 hours

2:5

<u>So, our ratio of pools to hours is 2:5.</u>

I hope this was helpful, keep learning! :D

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3 years ago

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Vavilen inflated a huge balloon in 19 minutes. Then he poked a hole in the balloon so that it slowly leaked air out until it was

kaheart [24]

Considering balloon to be an spherical object

Volume of sphere = $\frac{4}{3}\pi r^3$ , where r is the radius of sphere.

After 19 minutes ,If radius of balloon changes from r to R, the Volume changes from V to V'.

V'= $\frac{4}{3}\pi R^3$ ,

As given,rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon.

Also, $\frac{dR}{dt}=2 \times \frac{dr}{dt}$

Now, again the radius changes from R to r.So, Volume changes from V' to Back to V.

Time taken by the balloon to deflate = 38 minutes

But there is no relation between time and volume of Balloon.

So, we can't predict at which rate balloon is deflating or inflating.Apart from the statement given in Question: $\frac{dR}{dt}=2 \times \frac{dr}{dt}$

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3 years ago

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