Question

7. The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete
revolutions to roll once over the play ground to level. Find the area of the play ground
in m?​

Answer 1

Answer:

Area of playground = 15,840m²

Step-by-step explanation:

d= 84cm, r= 42cm = 0.42m,  h= 120cm= 1.2m

Area covered in 1 revolution = CSA of Cylinder

                                               = 2πrh = 2×22×0.42×1.2/7

                                                   = 31.68m²

Area covered in 500 complete revolutions = Area of playground

                                                              = Area covered in 1 revolution×500

                                                                = 31.68 × 500 = 15,840m²

Answer 2

area of cylinder = 2pirh

first we find radius so, 2 pi r = 84 cm

22/7 × r = 42

r= 42×7/22

r = 13.36 cm

area of cylinder is 10077 cm ^2

10077 × 500 is the area of playground

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