Question

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?

Answer 1

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!

Answer 2

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 )