Question

How to solve, How many cylindrical glass of diameter 8 cm and height 15 cm can be filled with juice from a cylinder vessel of diameter 30 cm and height 64cm?

Answer 1

Ht of smaller glass=15cm Radius of smaller glass=4cm Ht of bigger glass:64cm Radius of bigger Glass:15cm A.T.Q. No. Of glass reqd.=Vol. Of bigger glass/ Vol. Of smaller glass =π×R×R×H/ π×r×r×h =R×R×H/ r×r×h =15×15×64/ 4×4×15 =60 glasses

Answer 2

no of glass fill=Vol. of vessel/vol.co glass
                   = πR²H/πr²h
                   =π×15²×64/π ×4²×15
                 =225×64/16×15
                   =15×4
                 = 60 glass