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The volume and curved surface area of a cone are same. If the product of radius and height of the cone is36 cm, then the slant height of the cone is: |
Answer» Answer:The SLANT height of the cone is 12 CM. Step-by-step explanation: Given that:The volume and curved surface area of a cone are same. The product of RADIUS and height of the cone is 36 cm. To FIND:The slant height of the cone. Finding the slant height of the cone: Volume of a cone = Curved surface area of a cone ⟶ (πr²h)/3 = πrl ⟶ πr²h = 3πrl Cancelling π and r both sides. ⟶ rh = 3l ⟶ 36 = 3l [Given] ⟶ l = 36/3 ⟶ l = 12 ∴ The slant height of the cone = 12 cm |
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