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the radius and slant height of a cone are in the ratio 4:7 if its curved surface area is 792cm2 find its radius

Answers

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 

x^2 = (792*7)/(22*4*7)

x^2 = 9

x = √9

x = 3 cm

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

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the radius and slant height of a cone are in the ratio 4:7 if its curved surface area is 792cm2 find its radius for Class 9 2023 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about the radius and slant height of a cone are in the ratio 4:7 if its curved surface area is 792cm2 find its radius covers all topics & solutions for Class 9 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the radius and slant height of a cone are in the ratio 4:7 if its curved surface area is 792cm2 find its radius.
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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 7xSo,Curved surface area of the cone = πrl792 = 22/7*4x*7xx^2 = (792*7)/(22*4*7)x^2 = 9x = √9x = 3 cmSo, the radius of the cone = 4 * 3 = 12 cm.