Question

A swimming pool measuring 50 m long and 20 m wide is filled with water to a depth of 3 m. The density of the population of bacteria in water is 2.5 x 10 6 bacteria / m3. How many bacteria are there in the pool? (4 pts)

Answer 1

Question #64588, Biology / Other

A swimming pool measuring 50 m long and 20 m wide is filled with water to a depth of 3 m. The density of the population of bacteria in water is $2.5 \times 10^{6}$ bacteria / $\mathrm{m}^{3}$. How many bacteria are there in the pool?

Solution

The overall number of bacteria:

$$N = \text{volume} \times \text{density};$$ $$\text{volume} = \text{length} \times \text{width} \times \text{depth};$$ $$V = 50 \times 20 \times 3 = 3000 \mathrm{m}^{3}$$ $$N = 3000 \times 2.5 \times 10^{6} = 7.5 \times 10^{9} \text{ bacteria}$$

Answer: $7.5 \times 10^{9}$ bacteria.

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