Four astronauts are in a spherical space station. (a) If, as is typical, each of them breathes about 500 cm3 of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year?

Video transcript

Hey everyone. So today we're being told that there are nine sheep on a farm. Now, each sheep approximately breeds 200 centimeters cubed of air with each breath as they sleep given this value were being asked to approximate the volume of air and cubic decima eaters that each sheep breathes in one month. And we're to assume that each sheep breeds 16 times per minute per average. So let us start from converting a couple of factors. So we need to convert our years or sorry, our minutes two years as well as our centimeters to decimate ours and therefore find the decima tres breathed within a month. So let's start with the minutes, Within a single month, within one month There are 30 days and we know that within a day There are hours, 24 hours and within an hour, within an hour There are 16 minutes. So our days will cancel out as well as our hours and we'll be left with 43,200 minutes per month. Now one decimate er one disa meter Is equal to 10 cm. So to convert 200 cm cubed, 200 cm cubed. Using that conversion factor we have one decima eater per cm and we've cubed The cm so we can cube this conversion factor as well. We get that there are 0.2 decima eaters cubed cubed per breath. Our final convergence in there for start from our breaths per minute, we have 16 breaths per minute per sheep breath per minute. We know that there are 43,200 minutes per month and we know that there are 0.2 times 0.2 decimal two cubed breathed per breath per breath. So our breaths will cancel out, our minutes will cancel out. And after simplifying we get a final value of 138, decima tres breathed desa meters cubed, breathe per month. Or answer choice C. Sorry, answer choice B. My bad answer choice B. I hope this helps. And I look forward to seeing you all in the next one.