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1. At 6:00 am, the temperature at a certain place was 16 degrees Celsius. At 8:30 am, the temperature had dropped to 9 degrees Celsius. What was the drop in temperature?

2. A cylindrical tank with a diameter of 140 cm has a height of 75 cm. How many liters of water can it hold when full?

3. A bus left Kisii for Kisumu, a distance of 80 kilometers, at 8:30 am. For the first 30 minutes, it traveled at [tex]50 \, \text{km/hr}[/tex]. It traveled the remaining distance at [tex]66 \, \text{km/hr}[/tex]. At what time did the bus reach town Z?

4. A cylindrical tank has a diameter of 8 cm and a height of 35 cm. What is the volume of the container in cubic cm?



Answer :

GinnyAnswer
Let's address the relevant question step by step.

Problem 10: A cylindrical tank whose diameter is 140 cm has a height of 75 cm. How many liters of water can it hold when full?

To solve this problem, follow these steps:
1. Determine the radius of the cylinder:
The diameter of the tank is 140 cm, so the radius [tex]\( r \)[/tex] is half of the diameter.
[tex]\[ r = \frac{140}{2} \text{ cm} \][/tex]
[tex]\[ r = 70 \text{ cm} \][/tex]

2. Determine the height of the cylinder:
The height [tex]\( h \)[/tex] of the tank is given to be 75 cm.

3. Calculate the volume of the cylinder in cubic centimeters:
The formula for the volume [tex]\( V \)[/tex] of a cylinder is:
[tex]\[ V = \pi r^2 h \][/tex]
Substituting the values we have:
[tex]\[ V = \pi (70)^2 (75) \text{ cubic centimeters} \][/tex]

4. Find the volume in cubic centimeters:
Using the values for [tex]\(\pi \approx 3.141592653589793\)[/tex], [tex]\( r = 70 \text{ cm} \)[/tex], and [tex]\( h = 75 \text{ cm} \)[/tex]:
[tex]\[ V \approx 3.141592653589793 \times 70^2 \times 75 \text{ cubic centimeters} \][/tex]
[tex]\[ V \approx 3.141592653589793 \times 4900 \times 75 \text{ cubic centimeters} \][/tex]
[tex]\[ V \approx 1154535.300194249 \text{ cubic centimeters} \][/tex]

5. Convert the volume to liters:
Knowing that 1 liter = 1000 cubic centimeters, we can convert the volume from cubic centimeters to liters by dividing by 1000:
[tex]\[ \text{Volume in liters} = \frac{1154535.300194249 \text{ cubic centimeters}}{1000} \][/tex]
[tex]\[ \text{Volume in liters} \approx 1154.535300194249 \text{ liters} \][/tex]

Answer:

The cylindrical tank can hold approximately 1154.54 liters of water when full.

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