Question

the radius and slant height of a come are in a ratio 4:7 so the ratio of its total surface area and curved surface area is​

Answer 1

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The ratio of the radius and height of the cone is 4 : 7.

Let the radius of the cone be 4x and the height be 7x

So, 

Curved surface area of the cone = πrl

792 = 22/7*4x*7x 

x² = (792*7)/(22*4*7)

x² = 9

x = √9

x = 3 cm

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

Answer 2

Answer:

The ratio of the radius and height of the cone is 4 : 7.

Let the radius of the cone be 4x and the height be 7x

So, 

Curved surface area of the cone = πrl

792 = 22/7*4x*7x 

x² = (792*7)/(22*4*7)

x² = 9

x = √9

x = 3 cm

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

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