Question

The volume and curved surface area of a cone are same. If the product of radius and height of the cone is

36 cm, then the slant height of the cone is:​

Answer 1

Answer:

l= 36/3

12

The volume and curved surface area of a cone are same. If the product of radius and height of the cone is

36 cm, then the slant height of the cone is: 12

Answer 2

$\small{\textsf{\textbf{\underline{\underline{∴ The slant height of the cone = 12 cm\::}}}}}$

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

⟶ l = 36/3

⟶ l = 12

$\small{\textsf{\textbf{\underline{\underline{∴ The slant height of the cone = 12 cm\::}}}}}$