Question

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The radius and slant height of a cone are in the ratio 4 : 7 . If its curved surface area is 792 cm² , then find its height ?


( WANT TO HAVE HEIGHT NOT ANY OTHER THING ) ​

Answer 1

Answer:

Step-by-step explanation:

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

Let the radius of the cone be 4x and the slant 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 and slant height = 7×3=21

Height = √l²-r² = √297

Answer 2

Step-by-step explanation:

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

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.

and Slant Height of cone=7×3=21cm

Height=√l^2-r^2

=√441-144

=√297