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A house has an overheads cylindrical tank which is filled by pumping water from an unground cuboidal tank the dimensions of cuboidal tank are 2.5 metre , 2 metre,1.5 and it is completely filled with water the overhead tank which is empty has height of 2 metre with radius of its base is 70 cm if the water is pumped to fill the overhead tank completely with water and the height of the water left in the cuboidal tank.?take π= 22/7?
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Calculating the Volume of Water
To begin with, we need to calculate the volume of water in the cuboidal tank. The volume of a cuboid is given by the formula V = l x b x h, where l is the length, b is the breadth, and h is the height of the cuboid.
Given dimensions:
Length (l) = 2.5 m
Breadth (b) = 2 m
Height (h) = 1.5 m
Using the formula, we can calculate the volume of water in the cuboidal tank:
V = 2.5 x 2 x 1.5 = 7.5 cubic meters
Calculating the Volume of the Cylindrical Tank
Next, we need to calculate the volume of the cylindrical tank. The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
Given dimensions:
Radius (r) = 70 cm = 0.7 m
Height (h) = 2 m
Using the formula and converting the radius to meters, we can calculate the volume of the cylindrical tank:
V = (22/7) x 0.7 x 0.7 x 2 ≈ 1.54 cubic meters
Calculating the Height of Water Left in the Cuboidal Tank
Since the water from the cuboidal tank is pumped into the cylindrical tank and the cylindrical tank is filled to the brim, the remaining water in the cuboidal tank can be calculated by subtracting the volume of the cylindrical tank from the volume of the cuboidal tank.
Remaining volume of water in cuboidal tank = 7.5 - 1.54 = 5.96 cubic meters
Finally, to find the height of the water left in the cuboidal tank, we can divide the remaining volume by the area of the base of the cuboidal tank (length x breadth):
Height of water left = 5.96 / (2.5 x 2) ≈ 1.19 meters
Therefore, the height of the water left in the cuboidal tank is approximately 1.19 meters.
To begin with, we need to calculate the volume of water in the cuboidal tank. The volume of a cuboid is given by the formula V = l x b x h, where l is the length, b is the breadth, and h is the height of the cuboid.
Given dimensions:
Length (l) = 2.5 m
Breadth (b) = 2 m
Height (h) = 1.5 m
Using the formula, we can calculate the volume of water in the cuboidal tank:
V = 2.5 x 2 x 1.5 = 7.5 cubic meters
Calculating the Volume of the Cylindrical Tank
Next, we need to calculate the volume of the cylindrical tank. The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
Given dimensions:
Radius (r) = 70 cm = 0.7 m
Height (h) = 2 m
Using the formula and converting the radius to meters, we can calculate the volume of the cylindrical tank:
V = (22/7) x 0.7 x 0.7 x 2 ≈ 1.54 cubic meters
Calculating the Height of Water Left in the Cuboidal Tank
Since the water from the cuboidal tank is pumped into the cylindrical tank and the cylindrical tank is filled to the brim, the remaining water in the cuboidal tank can be calculated by subtracting the volume of the cylindrical tank from the volume of the cuboidal tank.
Remaining volume of water in cuboidal tank = 7.5 - 1.54 = 5.96 cubic meters
Finally, to find the height of the water left in the cuboidal tank, we can divide the remaining volume by the area of the base of the cuboidal tank (length x breadth):
Height of water left = 5.96 / (2.5 x 2) ≈ 1.19 meters
Therefore, the height of the water left in the cuboidal tank is approximately 1.19 meters.
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A house has an overheads cylindrical tank which is filled by pumping water from an unground cuboidal tank the dimensions of cuboidal tank are 2.5 metre , 2 metre,1.5 and it is completely filled with water the overhead tank which is empty has height of 2 metre with radius of its base is 70 cm if the water is pumped to fill the overhead tank completely with water and the height of the water left in the cuboidal tank.?take π= 22/7?
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A house has an overheads cylindrical tank which is filled by pumping water from an unground cuboidal tank the dimensions of cuboidal tank are 2.5 metre , 2 metre,1.5 and it is completely filled with water the overhead tank which is empty has height of 2 metre with radius of its base is 70 cm if the water is pumped to fill the overhead tank completely with water and the height of the water left in the cuboidal tank.?take π= 22/7? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A house has an overheads cylindrical tank which is filled by pumping water from an unground cuboidal tank the dimensions of cuboidal tank are 2.5 metre , 2 metre,1.5 and it is completely filled with water the overhead tank which is empty has height of 2 metre with radius of its base is 70 cm if the water is pumped to fill the overhead tank completely with water and the height of the water left in the cuboidal tank.?take π= 22/7? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A house has an overheads cylindrical tank which is filled by pumping water from an unground cuboidal tank the dimensions of cuboidal tank are 2.5 metre , 2 metre,1.5 and it is completely filled with water the overhead tank which is empty has height of 2 metre with radius of its base is 70 cm if the water is pumped to fill the overhead tank completely with water and the height of the water left in the cuboidal tank.?take π= 22/7?.
A house has an overheads cylindrical tank which is filled by pumping water from an unground cuboidal tank the dimensions of cuboidal tank are 2.5 metre , 2 metre,1.5 and it is completely filled with water the overhead tank which is empty has height of 2 metre with radius of its base is 70 cm if the water is pumped to fill the overhead tank completely with water and the height of the water left in the cuboidal tank.?take π= 22/7? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A house has an overheads cylindrical tank which is filled by pumping water from an unground cuboidal tank the dimensions of cuboidal tank are 2.5 metre , 2 metre,1.5 and it is completely filled with water the overhead tank which is empty has height of 2 metre with radius of its base is 70 cm if the water is pumped to fill the overhead tank completely with water and the height of the water left in the cuboidal tank.?take π= 22/7? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A house has an overheads cylindrical tank which is filled by pumping water from an unground cuboidal tank the dimensions of cuboidal tank are 2.5 metre , 2 metre,1.5 and it is completely filled with water the overhead tank which is empty has height of 2 metre with radius of its base is 70 cm if the water is pumped to fill the overhead tank completely with water and the height of the water left in the cuboidal tank.?take π= 22/7?.
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