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An ink container of cylindrical shape isfilled with ink upto 91%.Ballpen refills oflength 12cm and inner diameter 2mm arefilled upto 84%.If the height and the radiusof the ink container are 14cm and 6cmrespectively. Find the number of refills thatcan be filled with this ink. |
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Answer» Given:Length of the refill = 12 cmInner diameter of the refill = 2 mm∴ Inner radius of refill =22mm = 1 mm = 0.1 cmNow,Volume of one refill =πr2h=227×(0.1)2×12= 0.377 cm3Because the refills are filled up to 84%, the volume of the ink filled in each refill is:84100×0.377cm3= 0.3166 cm3Also,Height of the container = 14 cmRadius of the container = 6 cmNow,Volume of the container =πr2h=227×62×14= 1584 cm3Because the container is filled with ink up to 91%, the volume of the ink filled in the container is:91100×1584 = 1441.44 cm3Thus, we have:Number of refills that can be filled =VolumeoftheinkfilledinthecontainerVolumeoftheinkfilledineachrefill=1441.44.3166 = 4552.87 Hence, the number of refills that can be filled is 4552. volume ink in container=22/7×6×6x14×91/100=1440.1296; volume of ink one refill=22/7×0.1×0.1×12×84/100=0.316512cm,; number of refill can be filled =volume of ink in container/ vol. of ink in one refill=1440.1296/0.316512=4550.refill can be filled are =4550 |
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