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A metal container is in the form of a cylinder surmounted by a hemisphere of the Same radius the internal height of cylinder is 7 m and the internal radius of the cylinder is 3.5 m calculate the total surface area of the container?
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A metal container is in the form of a cylinder surmounted by a hemisph...
Calculation of Total Surface Area of a Metal Container
Given:
- Internal height of cylinder = 7 m
- Internal radius of cylinder = 3.5 m
- The container is in the form of a cylinder surmounted by a hemisphere of the same radius
Formula:
- Surface Area of Cylinder = 2πrh + 2πr^2
- Surface Area of Hemisphere = 2πr^2
- Total Surface Area of Container = Surface Area of Cylinder + Surface Area of Hemisphere
Calculation:
- Radius of Hemisphere = Radius of Cylinder = 3.5 m
- Height of Cylinder = Internal height of Cylinder + 2 × Radius of Hemisphere
= 7 + 2 × 3.5
= 14 m
- Surface Area of Cylinder = 2πrh + 2πr^2
= 2 × 22/7 × 3.5 × 14 + 2 × 22/7 × 3.5^2
= 308 + 77
= 385 m^2
- Surface Area of Hemisphere = 2πr^2
= 2 × 22/7 × 3.5^2
= 77 m^2
- Total Surface Area of Container = Surface Area of Cylinder + Surface Area of Hemisphere
= 385 + 77
= 462 m^2
Therefore, the total surface area of the metal container is 462 m^2.
Given:
- Internal height of cylinder = 7 m
- Internal radius of cylinder = 3.5 m
- The container is in the form of a cylinder surmounted by a hemisphere of the same radius
Formula:
- Surface Area of Cylinder = 2πrh + 2πr^2
- Surface Area of Hemisphere = 2πr^2
- Total Surface Area of Container = Surface Area of Cylinder + Surface Area of Hemisphere
Calculation:
- Radius of Hemisphere = Radius of Cylinder = 3.5 m
- Height of Cylinder = Internal height of Cylinder + 2 × Radius of Hemisphere
= 7 + 2 × 3.5
= 14 m
- Surface Area of Cylinder = 2πrh + 2πr^2
= 2 × 22/7 × 3.5 × 14 + 2 × 22/7 × 3.5^2
= 308 + 77
= 385 m^2
- Surface Area of Hemisphere = 2πr^2
= 2 × 22/7 × 3.5^2
= 77 m^2
- Total Surface Area of Container = Surface Area of Cylinder + Surface Area of Hemisphere
= 385 + 77
= 462 m^2
Therefore, the total surface area of the metal container is 462 m^2.
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A metal container is in the form of a cylinder surmounted by a hemisphere of the Same radius the internal height of cylinder is 7 m and the internal radius of the cylinder is 3.5 m calculate the total surface area of the container?
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A metal container is in the form of a cylinder surmounted by a hemisphere of the Same radius the internal height of cylinder is 7 m and the internal radius of the cylinder is 3.5 m calculate the total surface area of the container? 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 metal container is in the form of a cylinder surmounted by a hemisphere of the Same radius the internal height of cylinder is 7 m and the internal radius of the cylinder is 3.5 m calculate the total surface area of the container? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal container is in the form of a cylinder surmounted by a hemisphere of the Same radius the internal height of cylinder is 7 m and the internal radius of the cylinder is 3.5 m calculate the total surface area of the container?.
A metal container is in the form of a cylinder surmounted by a hemisphere of the Same radius the internal height of cylinder is 7 m and the internal radius of the cylinder is 3.5 m calculate the total surface area of the container? 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 metal container is in the form of a cylinder surmounted by a hemisphere of the Same radius the internal height of cylinder is 7 m and the internal radius of the cylinder is 3.5 m calculate the total surface area of the container? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal container is in the form of a cylinder surmounted by a hemisphere of the Same radius the internal height of cylinder is 7 m and the internal radius of the cylinder is 3.5 m calculate the total surface area of the container?.
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