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Surface area of sphere = 4πr²

Curved syrface area of a cone = πrl

Given, surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm

⇒ 4 × π × 5² = 5 × π × 4 × l

⇒ l = 5 cm

L² = h² + r²

⇒ 5² = h² + 4²

⇒ h² = 9

⇒ h = 3 cm