Height of a cylinfrical barrel is 50 cm and radius of its base is 20 cm . Anurag started to fill the barrel with water, when it was empty by cylindrical mug . The diameter and height of the mug are 10 cm and 15 cm respectively. Find the no. of mugs required for the barrel to overflow ?

Explanation

`("For barrel")/("height (h)")` = 50 cm , radius (r ) = 20 cm
Volume of the barrel ` = pi r^(2)h`
` = pi xx (20)^(2) xx 50`
` = 20000 pi " cm"^(3)`
`("For mug")/("diameter") = 10 cm `
` :. " its radius " (r_(1)) = 5 cm ," height "(h_(1)) = 15 cm`
Volume of mug ` = pi e_(1)^(2) h_(1)`
` = 375 pi " cm"^(3)`
`("Volume of barrel")/("Volume of mug") = (2000 pi)/(375 pi) = 160/3 = 53 /3`
` :. ` When 54 th mug is poured in the barrel it will overflow.