Math, asked by sandysandy9274, 1 year ago

If the radius and slant height of a cone are in the ratio 4 ratio 7 and its curved surface is 792 cm square then find its radius

Answers

Answered by UltimateMasTerMind
8
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Given;

Ratio of Radius and height is 4:7.

let the Radius of cone be 4x and Height be 7x.

Now,

Curved Surface Area of Cone

 =  >\pi \times r \times l

=> 792 = 22/7 × 4x × 7x

=> x² = (792× 7)/(22× 4× 7)

=> x² = 9

=> x = √9

=> x = 3 cm

Now,

Radius = 4x = 12 cm.

Height = 7x = 84 cm.
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Answered by amrit614
1

Given;

Ratio of Radius and height is 4:7.

let the Radius of cone be 4x and Height be 7x.

Now,

Curved Surface Area of Cone 

= >\pi \times r \times l=>π×r×l 

=> 792 = 22/7 × 4x × 7x

=> x² = (792× 7)/(22× 4× 7)

=> x² = 9

=> x = √9

=> x = 3 cm

Now,

Radius = 4x = 12 cm.

Height = 7x = 84 cm.
✔✔✔
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