Question

A roller 120cm long has a diameter of 105 cm. To level a playground it takes 500

complete revolutions. Determine the area of the playground in m2

.​

Answer 1

Answer:

length of the roller  =  height of the cylinder = 120cm

diameter of the roller = 105 cm

radius of the roller     = 105/2

it says that To level a playground it takes 500  complete revolutions.

i.e,500 times lateral surface area of the roller = area of the playground

lateral surface area of the roller = 2πrh

                                                     = 2(22/7)(105/2)(120)

                                                     = 39600$cm^{2}$

                                                     = 3.96$m^{2}$

area of the playground               = (3.96)(500)

                                                     = 1980$m^{2}$