A cone of radius 10cm is divided into two parts by a plane parallel to its base through the mid-point of its height. Compare the volumes of the two parts

Asked by hemantchoudary177 | 27th Jan, 2019, 06:48: PM

Expert Answer:

Volume of full cone = (1/3)10πr2 cm3
 
volume of top cone that has half of initial height = (1/3)(5/4)πr2 cm3 ......................(1)
 
( volume of top portion is calculated as above, because radius also half of its initial value)
 
volume of bottom portion = (1/3)πr2 [10 - (5/4)] = (1/3)πr2(35/4) cm3 .....................(2)
 
ratio of volume of top part of the cone to that of bottom part = begin mathsize 12px style fraction numerator begin display style bevelled 5 over 4 end style over denominator begin display style bevelled 35 over 4 end style end fraction space equals space 1 over 7 end style

Answered by Thiyagarajan K | 27th Jan, 2019, 07:39: PM

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