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A sphere and cube have same surface area.so,prove that ratio of volume of sphere to that of volume of cube is √6:√π.....please tell me answer....
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A sphere and cube have same surface area.so,prove that ratio of volume...
Let r and a be the radius of the sphere and edge of the cube respectively. Given , surface area of sphere =Surface area of cubs .4pi*r^2=6a^2(r/a)^2=3/2pir/a=Under Root (3/2pi)Volume of sphere /volume cube= (4/3)pi*r^3/a^3=(4pi/3)(ROOT (3/2*pi))^3=(4*pi/3)(3/2*pi)(Root(3/2*pi))=2root(3/2*pi)=Under Root (4*3/2*pi)=Root over (6/pi)Thus , Volume of sphere :volume of cube =Root6:RootPi
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A sphere and cube have same surface area.so,prove that ratio of volume of sphere to that of volume of cube is √6:√π.....please tell me answer....
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A sphere and cube have same surface area.so,prove that ratio of volume of sphere to that of volume of cube is √6:√π.....please tell me answer.... 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 sphere and cube have same surface area.so,prove that ratio of volume of sphere to that of volume of cube is √6:√π.....please tell me answer.... covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sphere and cube have same surface area.so,prove that ratio of volume of sphere to that of volume of cube is √6:√π.....please tell me answer.....
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