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State True or False: Total surface of solid hemisphere is half of the surface of a solid sphere.?
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State True or False: Total surface of solid hemisphere is half of the ...
Answer:
Statement: Total surface of solid hemisphere is half of the surface of a solid sphere.
True or False: True
Explanation:
A hemisphere is a solid object that is half of a sphere. The word hemisphere itself means half a sphere. A sphere is a perfectly round geometrical object that has all points on its surface equidistant from its center.
Surface Area of a Hemisphere:
The surface area of a hemisphere can be calculated using the formula:
SA = 2πr²
Where r is the radius of the hemisphere.
Surface Area of a Sphere:
The surface area of a sphere can be calculated using the formula:
SA = 4πr²
Where r is the radius of the sphere.
Comparison:
If we compare the surface area of a hemisphere and a sphere, we can see that the surface area of a hemisphere is half of the surface area of a sphere.
SA of Hemisphere = 2πr²
SA of Sphere = 4πr²
SA of Hemisphere = 1/2 of SA of Sphere
Therefore, the given statement is true.
Conclusion:
Hence, we can conclude that the total surface area of a solid hemisphere is half of the surface area of a solid sphere.
Statement: Total surface of solid hemisphere is half of the surface of a solid sphere.
True or False: True
Explanation:
A hemisphere is a solid object that is half of a sphere. The word hemisphere itself means half a sphere. A sphere is a perfectly round geometrical object that has all points on its surface equidistant from its center.
Surface Area of a Hemisphere:
The surface area of a hemisphere can be calculated using the formula:
SA = 2πr²
Where r is the radius of the hemisphere.
Surface Area of a Sphere:
The surface area of a sphere can be calculated using the formula:
SA = 4πr²
Where r is the radius of the sphere.
Comparison:
If we compare the surface area of a hemisphere and a sphere, we can see that the surface area of a hemisphere is half of the surface area of a sphere.
SA of Hemisphere = 2πr²
SA of Sphere = 4πr²
SA of Hemisphere = 1/2 of SA of Sphere
Therefore, the given statement is true.
Conclusion:
Hence, we can conclude that the total surface area of a solid hemisphere is half of the surface area of a solid sphere.
Community Answer
State True or False: Total surface of solid hemisphere is half of the ...
True
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State True or False: Total surface of solid hemisphere is half of the surface of a solid sphere.?
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State True or False: Total surface of solid hemisphere is half of the surface of a solid sphere.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about State True or False: Total surface of solid hemisphere is half of the surface of a solid sphere.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for State True or False: Total surface of solid hemisphere is half of the surface of a solid sphere.?.
State True or False: Total surface of solid hemisphere is half of the surface of a solid sphere.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about State True or False: Total surface of solid hemisphere is half of the surface of a solid sphere.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for State True or False: Total surface of solid hemisphere is half of the surface of a solid sphere.?.
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