Question

THE RADIUS AND SLANT HEIGHT OF THE CONE ARE IN RATIO 4:7 IF ITS CSA IS 792CM2. FIND ITS HEIGHT ?

Answer 1

CSA of cone =πrl
792cm²=22÷7×4x×7x
792cm²=88x²
x²=9cm²
x=3cm

now, r=4×3=12cm, l=7×3=21cm

Answer 2

Answer:

12 cm

Step-by-step explanation:

let r= 4x

    l=7x

CSA of cone= 792 cm^2

$\pi rl$ = 792 $cm^2$

$\frac{22}{7}*4x*7x= 792 cm^2\\22*4x*x= 792cm^2\\4x^2 = \frac{792}{22} \\4x^2 = 36 cm\\x^2 = \frac{36}{4} \\x^2 = 9\\x= \sqrt{9} \\x= 3 cm \\therefor, r= 4x\\ r= 4*3\\ r= 12 cm$

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