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#1 2005-04-04 03:35:06

austin81
Member
Registered: 2005-03-21
Posts: 39

yet another problem

A cylindrical tunnel 5.5m in diameter is driven through  a mountain for a distance   of 7km. the ezcavated earth i s spread to a depth of  50cm on the surface of a  road 11m wide. Calculate the number of ilometers of the road that can  be covered with all of the excavated earth. (Take pi as 22/7)

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#2 2005-04-04 09:50:39

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: yet another problem

These are nice problems ... hmm

I think this one can be solved by just working out the volumes. Figure the volume of the cylinder, then divide it by (0.5 x 11).


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#3 2005-04-15 01:29:39

austin81
Member
Registered: 2005-03-21
Posts: 39

Re: yet another problem

thanks for that quotation and more espcially for the help

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#4 2005-04-20 06:49:29

mathsyperson
Guest

Re: yet another problem

Total excavated earth: Pi*5.5m squared*7km=665500 cubic metres (Taking Pi as 22/7)
Length of road covered: 665500/(0.5m*11m)=121km.

Answer: 121km

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