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Dimensions of a solid cuboid are 4.4m,2.6m,1m .It is melted and recasted into a hollow cylindrical pipe of inner radius of 30cm and outer radius of 35cm .Find the length of the pipe?
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Dimensions of a solid cuboid are 4.4m,2.6m,1m .It is melted and recast...
Hi there !!
Length , l = 4.4 metres
Breadth , b = 2.6 metres
Height , h = 1 metre
Volume of a cuboid = l b h
= 4.4 × 2.6 × 1
= 11.44 m³
The cuboid is melted and is made into a hollow cylindrical pipe.
But ,
Even if shape changes ,Volume of both the shapes remains same.
Volume of cuboid = Volume of hollow cylindrical pipe = 11.44 m³
==================================
Radius ,r = 30 cm = 0.3 metres
Thickness = 5 cm = 0.05 metre
Outer radius, R = inner radius + thickness
= 0.3 + 0.05
= 0.35 metres
Height of the pipe = Length of the pipe
Volume of a cylindrical pipe = π [ R² - r ² ] × h
= π × [ (0.35)² - (0.3)² ] ×h
π × [ (0.35)² - (0.3)² ] ×h = 11.44 m³
π × [ 0.1225 - 0.09 ] ×h = 11.44 m³
π × 0.0325 × h = 11.44 m³
h =(11.44 × 7)/ 22× 0.0325
= 112 metres
Length of the pipe = 112 metres
That's all🙂
Length , l = 4.4 metres
Breadth , b = 2.6 metres
Height , h = 1 metre
Volume of a cuboid = l b h
= 4.4 × 2.6 × 1
= 11.44 m³
The cuboid is melted and is made into a hollow cylindrical pipe.
But ,
Even if shape changes ,Volume of both the shapes remains same.
Volume of cuboid = Volume of hollow cylindrical pipe = 11.44 m³
==================================
Radius ,r = 30 cm = 0.3 metres
Thickness = 5 cm = 0.05 metre
Outer radius, R = inner radius + thickness
= 0.3 + 0.05
= 0.35 metres
Height of the pipe = Length of the pipe
Volume of a cylindrical pipe = π [ R² - r ² ] × h
= π × [ (0.35)² - (0.3)² ] ×h
π × [ (0.35)² - (0.3)² ] ×h = 11.44 m³
π × [ 0.1225 - 0.09 ] ×h = 11.44 m³
π × 0.0325 × h = 11.44 m³
h =(11.44 × 7)/ 22× 0.0325
= 112 metres
Length of the pipe = 112 metres
That's all🙂
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Dimensions of a solid cuboid are 4.4m,2.6m,1m .It is melted and recasted into a hollow cylindrical pipe of inner radius of 30cm and outer radius of 35cm .Find the length of the pipe?
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Dimensions of a solid cuboid are 4.4m,2.6m,1m .It is melted and recasted into a hollow cylindrical pipe of inner radius of 30cm and outer radius of 35cm .Find the length of the pipe? 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 Dimensions of a solid cuboid are 4.4m,2.6m,1m .It is melted and recasted into a hollow cylindrical pipe of inner radius of 30cm and outer radius of 35cm .Find the length of the pipe? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Dimensions of a solid cuboid are 4.4m,2.6m,1m .It is melted and recasted into a hollow cylindrical pipe of inner radius of 30cm and outer radius of 35cm .Find the length of the pipe?.
Dimensions of a solid cuboid are 4.4m,2.6m,1m .It is melted and recasted into a hollow cylindrical pipe of inner radius of 30cm and outer radius of 35cm .Find the length of the pipe? 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 Dimensions of a solid cuboid are 4.4m,2.6m,1m .It is melted and recasted into a hollow cylindrical pipe of inner radius of 30cm and outer radius of 35cm .Find the length of the pipe? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Dimensions of a solid cuboid are 4.4m,2.6m,1m .It is melted and recasted into a hollow cylindrical pipe of inner radius of 30cm and outer radius of 35cm .Find the length of the pipe?.
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