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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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Question

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. 

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Solution

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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Chapter 20: Surface Areas and Volume of A Right Circular Cone - Exercise 20.2 [Page 21]

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RD Sharma Mathematics [English] Class 9
Chapter 20 Surface Areas and Volume of A Right Circular Cone
Exercise 20.2 | Q 11 | Page 21
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