Question

The radius and slant height of a cone are in
the ratio of 2:7. If its curved surface area
is 704 cm?, find its radius (r), slant height
(l) and height (h).

Answer 1

The ratio of the radius and height of the cone is 2 : 7.

Let the radius of the cone be 2x and the height be 7x

So,  

Curved surface area of the cone = πrl

792 = 22/7*2x*7x  

x² = (792*7)/(22*2*7)

x² = 9

x = √9

x = 3 cm

So, the radius of the cone = 4 × 3 = 12 cm.

Answer 2

Hope it's help you ✌️

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