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There Are Two Cones. the Curved Surface Area of One is Twice that of the Other. the Slant Height of the Later is Twice that of the Former. Find the Ratio of Their Radii. - Mathematics

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प्रश्न

There are two cones. The curved surface area of one is twice that of the other. The slant height of the later is twice that of the former. Find the ratio of their radii.  

उत्तर

Let curved surface area off 1^st cone = 2x 

CSA of 2^nd cone=x 

`"and slant height of 1 ^st cone=h "`

`"and slant height of 2 ^nd cone = 2h"` 

`"CSA of 1^st cone" / "CSA of 2^nd cone"=(2x)/x=2/1` 

⇒ `(pir_1l_1)/(pir_2l_2)=2/1` 

⇒ `r_1h/r_2h=2/1⇒r_1/r_2=4/1` 

 

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अध्याय 20: Surface Areas and Volume of A Right Circular Cone - Exercise 20.1 [पृष्ठ ८]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 20 Surface Areas and Volume of A Right Circular Cone
Exercise 20.1 | Q 13 | पृष्ठ ८

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