Question

If the total surface area of a cone of radius 7cm is 704cm sq
,then find its slant height​

Answer 1

Answer: 25 cm

Step-by-step explanation:

Please, refer to the attachment for the solution.

Answer 2

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• The slant height of the cone is 25 cm.

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★ Given †

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• The total surface area of a cone of radius 7cm is 704 cm²

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★ To Find †

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• Its slant height.

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★ Formula used †

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• TSA of cone = π r ( r + l )

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★ According to the question :—

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» π r ( r + l ) = 704

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» (22/7) × 7 ( 7 + l )

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» 22 × ( 7 + l )

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» ( 7 + l ) = 704/22

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» ( 7 + l ) = 32

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» l = 32 - 7

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» l = 25

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Therefore, the slant height of the cone is 25 cm.

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