A self-help group wants to manufacture joker’s caps of 3 cm. radius and 4 cm height. If the available paper sheet is 1000cm^2 then how many caps can be manufactured from that paper sheet?
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Answer:
21 caps
Step-by-step explanation:
Dimensions of cap:
Radius (r) = 3 cm.
Height(h) = 4 cm.
Slant height(l) = √h² + r²
= √4² + 3²
= 5 cm.
Surface area of one such conical cap:
= πrl
= (22/7) * 3 * 5
= 47.14 cm²
Given, Total Area of sheet = 1000 cm²
Number of caps that can be manufactured = 1000/47.14
= ~21 caps.
Hope it helps!
Step-by-step explanation:
height = 4
radius= 3
slant height =√16+9
=√25
=5
curved surface area = πrl
= 22÷7×3×5
=47.14 ( approx)
sheet available for making cap = 1000cm sq
number of caps = 1000÷47.14
= 21.21 ( approx )