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Surface Area of Combined Figures

the lateral s...

Question

the lateral surface area of a cylinder is equal to the curved surface area of a cone if the radius be same.find the radius of the height of cylinder and slant height of cone?

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Solution

Let the lateral surface area of cylinder be 2πr1h
curved surface area of cone =πr2l
Given:
2πr1h=πr2l
also r1=r2
Therefore,
2h=l
h/l= 1/2

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