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प्रश्न
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.
उत्तर
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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