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:​


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Answer 1

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Volume of a cone = Curved surface area of a cone

(πr^2h)/3 =πrl

πr^2h = 3 πrl

Cancelling π and r both sides ...

rh= 3l

36 = 3l

l = 36/3

l = 12

The slant height of the cone is 12cm

Answer 2

Volume of a cone = Curved surface area of a cone

(πr^2h)/3 =πrl

πr^2h = 3 πrl

Cancelling π and r both sides ...

rh= 3l

36 = 3l

l = 36/3

l = 12

The slant height of the cone is 12cm