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A Right Angled Triangle of Which the Sides Containing He Right Angle Are 6.3 Cm and Lo Cm In Length, is Made to Turn Round on the Longer Side. Find the Volume of the Solid, Thus Generate - Mathematics

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प्रश्न

A right angled triangle of which the sides containing he right angle are 6.3 cm and lo cm in length, is made to turn round on the longer side. Find the volume of the solid, thus generated. Also, find its curved surface area. 

उत्तर

Given, radius of cone (r) = 6.3cm 

Height of cone (h) =10 cm 

∴ WKT, Slant height l = `sqrt((6.3)^2+(10)^2)` 

=` 11.819 cm [l=sqrt(r^2+h^2)]` 

∴ Volume of cone = `1/3pir^2h=1/3xx3.14xx(6.3)^2xx10=4158cm^3`

And CSA of cone=`pirl` 

= `22/7xx6.3xx11.819=234.01cm^2`                                                         

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अध्याय 20: Surface Areas and Volume of A Right Circular Cone - Exercise 20.2 [पृष्ठ २१]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 20 Surface Areas and Volume of A Right Circular Cone
Exercise 20.2 | Q 11 | पृष्ठ २१

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