Question

A sports company was ordered to prepare 100 paper cylinders without caps for shuttle cocks. The required dimensions of the cylinder are 35 cm length / height and its radius is 7 cm. Find the required area of thin paper sheet needed to make 100 cylinders.

Answer 1

Radius of the cylinder, r = 7 cm 

Height of the cylinder, h = 35 cm 

T.S.A. of the cylinder with lids at both ends = 2πr(r+h) 

= 2 ×\(\frac{22}{7}\)× 7 × (7 + 35) 

= 2 ×\(\frac{22}{7}\)× 7 × 42 = 1848 cm².

Area of thin paper required for 100 cylinders = 100 × 1848 

= 184800 cm² 

= \(\frac{184800}{100\times100}\)m² 

= 18.48 m² .