1.

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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