To calculate the volume of the jar, we'll use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
First, let's convert the radius from centimeters to meters, as the formula requires the measurements to be in a consistent unit. 14 cm = 0.14 m.
Now we can substitute the values into the formula:
Volume = π * (0.14 m)^2 * 20 cm
To get the volume in liters, we need to convert the volume from cubic meters to liters. Since 1 liter is equal to 0.001 cubic meters, we can multiply the calculated volume by 1000.
Volume (in liters) = π * (0.14 m)^2 * 20 cm * 1000
To calculate the weight of the empty jar, we can simply use the given weight, which is 1.54 kg.
Now, to calculate the weight of the filled jar, we need to calculate the weight of the water it will hold. The weight of an object is equal to its mass multiplied by the acceleration due to gravity.
The mass of the water can be found using the formula:
Mass = Volume * Density
The density of water is approximately 1000 kg/m^3.
Finally, the weight of the jar filled with water will be:
Weight = Weight of the empty jar + Weight of the water
Remember to use the given value of π as 22/7 for these calculations.
Let's calculate the answers:
Volume = (22/7) * (0.14 m)^2 * 20 cm * 1000
Weight of the filled jar = 1.54 kg + (Volume * 1000 kg/m^3 * 9.8 m/s^2)