1.

How many part of a rectangular parallelopiped type hole of length , breadth and depth 48 cm , 16.5 cm and 4 cm respectively should be stuffed with the soil obtained by digging a right circular conicaltunnel of diameter4 meter and of length 56 metres ?

Answer»

Solution :The volume of the soil obtained ` = (4/2)^(2) xx 56 `CUBIC - metre
Again , the volume of the hole `= 48 xx 16.5 xx4`cubic - metre .
LET x PART of the hole shouldbe stuffed
`:.X xx 48 xx 16.5 xx 4 = pi xx 2^(2) xx 56 `
or , ` x = (22/7xx 4xx 56)/(48xx 16.5 xx 4 ) or , x = ( 22 xx 4 xx 8XX 10)/(48 xx 165 xx 4 ) or ,x = 2/9 `
Hence `2/9 ` part of the hole should be stuffed


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