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nadya68 [22]
3 years ago
7

A colony of 2^120 bacteria occupies a total volume of 1.3*10^15*m^3

Mathematics
1 answer:
finlep [7]3 years ago
8 0
The complete question is 
A colony of  <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts​ (a) and​ (b) below. </span>

<span>a) Assume that the bacteria are distributed uniformly over the​ planet's surface. How deep would the bacterial layer​ be? (You can find the approximate depth by dividing the bacteria volume by the​ planet's surface​ area.) </span>
<span>____m </span>

<span>b) Would the bacteria be​ knee-deep, more than​ knee-deep, or less than​ knee-deep? </span>

<span>A. The bacteria would be less than​ knee-deep. </span>
<span>B. The bacteria would be more than​ knee-deep. </span>
<span>C. The bacteria would be​ knee-deep. </span>
<span>D. It depends on the height of the person
</span>
Part a) 
Find the approximate depth 
<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m 
</span>
the answer Part a) is 
2.4 m

Part b) 
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height. 
<span>2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans
</span>
therefore

the answer part b) is the option
D. It depends on the height of the person
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