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A Joker’S Cap is in the Form of a Right Circular Cone of Base Radius 7 Cm and Height 24 Cm. Find the Area of the Sheet Required to Make 10 Such Caps. - Mathematics

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Question

A Joker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

Solution

Given that, 

Radius of conical cap (r)=7 cm. 

Height of conical cap (h) =24cm. 

Slant height (I) of conical cap = `sqrt(r^2+h^2)` 

=`sqrt((7)^2+(24)^2cm) ` 

=25cm 

CSA of 1 conical cap `= pirl=22/7xx7xx25cm^2=550cm^2` 

 

Curved surface area of such 10 conical caps`= 5500cm^2` 

[∵ 550xx10] 

Thus, `5500cm^2` sheet will be req for making of 10 caps. 

 

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Chapter 20: Surface Areas and Volume of A Right Circular Cone - Exercise 20.1 [Page 8]

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RD Sharma Mathematics [English] Class 9
Chapter 20 Surface Areas and Volume of A Right Circular Cone
Exercise 20.1 | Q 11 | Page 8

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