Answer :
To determine the volume of the pond in microliters (\(\mu L\)), we need to go through a series of unit conversions. We'll convert the given volume in kiloliters (kL) to liters (L), and then convert liters to microliters (\(\mu L\)).
Step 1: Convert kiloliters to liters
We know that there are 1,000 liters in 1 kiloliter.
The volume of the pond is 35 kiloliters.
[tex]\[ 35 \, \text{kL} \times 1,000 \, \frac{\text{L}}{\text{kL}} = 35,000 \, \text{L} \][/tex]
Step 2: Convert liters to microliters
We know that there are \(1 \times 10^6\) (1,000,000) microliters in 1 liter.
Now, we need to convert 35,000 liters to microliters.
[tex]\[ 35,000 \, \text{L} \times 1,000,000 \, \frac{\mu\text{L}}{\text{L}} = 35,000 \, \times \, 1,000,000 \, \mu \text{L} \][/tex]
This involves multiplying 35,000 by \(10^6\):
[tex]\[ 35,000 \times 1,000,000 = 35 \times 10^3 \times 10^6 = 35 \times 10^{3+6} = 35 \times 10^9 = 3.5 \times 10^{10} \, \mu \text{L} \][/tex]
So, the volume of the pond in microliters is \(3.5 \times 10^{10} \mu \text{L}\).
Final Answer:
The correct option is:
[tex]\[ 3.5 \times 10^{10} \mu \text{L} \][/tex]
Step 1: Convert kiloliters to liters
We know that there are 1,000 liters in 1 kiloliter.
The volume of the pond is 35 kiloliters.
[tex]\[ 35 \, \text{kL} \times 1,000 \, \frac{\text{L}}{\text{kL}} = 35,000 \, \text{L} \][/tex]
Step 2: Convert liters to microliters
We know that there are \(1 \times 10^6\) (1,000,000) microliters in 1 liter.
Now, we need to convert 35,000 liters to microliters.
[tex]\[ 35,000 \, \text{L} \times 1,000,000 \, \frac{\mu\text{L}}{\text{L}} = 35,000 \, \times \, 1,000,000 \, \mu \text{L} \][/tex]
This involves multiplying 35,000 by \(10^6\):
[tex]\[ 35,000 \times 1,000,000 = 35 \times 10^3 \times 10^6 = 35 \times 10^{3+6} = 35 \times 10^9 = 3.5 \times 10^{10} \, \mu \text{L} \][/tex]
So, the volume of the pond in microliters is \(3.5 \times 10^{10} \mu \text{L}\).
Final Answer:
The correct option is:
[tex]\[ 3.5 \times 10^{10} \mu \text{L} \][/tex]
