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Q.

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


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a

5500 cm2

b

5300 cm2

c

5200 cm2

d

5000 cm2 

answer is A.

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Detailed Solution

Given Radius of cone base, r=7 cm 
Height of cone, h=24 m 
Suppose slant height = l 
C:UserssoftberryDownloadsP0041 JPEGQ.39.jpgNow, we have,
l2=h2+r2
l2=242+72
l2=576+49 
l2=625 
l=625  
l=25 cm 
Now, curved surface area of the cap of joker
Acs=πrl
Acs=227×7×25 
Acs=22×25 
Acs=550cm2
For 10 jokers cap curved surface area,
=10×550
=5500 cm2
Thus, the correct option is 1.
 
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