Question

A self help group wants to manufacture joker's caps of 4cm. radius and 3cm. height. If the available paper sheet is 1000 cm, then how many caps can be manufactured from that paper sheet?​

Answer 1

Answer:

Radius of cap = 3 cm

Height of cap = 4 cm

Slant height = l=\sqrt{Height^2+Radius^2}l=

Height

2

+Radius

2

=\sqrt{4^2+3^2}

4

2

+3

2

=\sqrt{16+9}

16+9

=\sqrt{25}

25

=55

Lateral surface area of cone = \pi r lπrl

= 3.14 \times 3 \times 53.14×3×5

= 47.1 m^247.1m

2

So, area of 1 cap is 47.1 sq.m.

Now Area of sheet = 1000 sq.m.

So, No. of caps can be made from that sheet = \frac{1000}{47.1}

47.1

1000

= 21.23121.231

Thus 21 caps can be manufactured from that paper sheet.

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