MIXED PICKLES-"WALNUTS" & "CUCUMBERS"

Mataura Ensign, Volume 7, Issue 396, 30 September 1884, Page 5

MIXED PICKLES-"WALNUTS" & "CUCUMBERS"

I ■ ' '"'■' TO THE EDITOR. "■ Sir,— l rniist say that I think it very cool on the part; of Mr Cucumber tp propound me such a puzzle as,,hjs, r ,.probieni on., the frustrum of beer at first "sight appeared to be, though one I; find merely of formula after;all.;. . r N , • ■ . . ; Supposingpn a diagram of the frustrum the letters G and D stand respectively at th« ends of the top, diameter, A and. B respecthfclj' at the ends.^f the bottom , diameter, a -perpendicular " imaginary line ! detiotihg Might drawn frdnvD at the top.-t o an Eat bottom, and the line dividing the ungulasfrom D at the top to Aon the opposite bottom corner ; then let • : ■< D = AB = 4*23 d = CD « 3-7 k == DE= 6 7 . ' '.'* x = solidity of whole fruttrum V == solidity of greater ungula Z = solidity of lesser ungufo V = difference in ungulas : The solidity of frustrum is . obtained, by , the ordinary rule : - •'•■'■'-. (D square + d square + D x d) jc .7854 x k divided by 3 =; x s= .70 .485 , Tne solidity of the greater ungula (i^r.,the fluid remaining after first draught) ii found by working out following rule :-— V= .2618 x(D square— d x sauar« root D d divided by E> d)~ Dk. From this we find that V=« 38.767. The content of small ungula is therefore x V = Z = 31.718. and the difference between the two ungulas v— ZsY='7jO x4& - ,1 , In working out the above I* have deemed it sufficient to work the decimals to three points. Only a slight difference in the fraction may be made by working to'more points, but that I think is unnecessary^* I wonder what the man who drank the first portion would have thought had lie .known that he left an elliptic ungula of a conic frustrum for his mate to consume 1 Ht would, perhaps, feal worse than your humble servant; who is at present troubled' with " >Valnutg !'■ and . ". Cucumbers <" ■• on - the brain, . ' , -".". " r . ,."''", I intended to have given a problem in 'this issue for Messrs W, add 0. to > exercise themselves with, but considering the length of this reply will defer it.~Tours affectionatefyj .'- ••• ■ ' :,:: ; :.-..:'■ i-> m • '" ■ ••".• fiUSAK; „ P.S,-— I will be glad to .recfliye further problems.