Oblique Frustum of Right Cone
A right circular cone, with apex angle 2α=80 degree, is thoroughly cut by a smooth plane inclined at an angle θ=75 degree with the axis OO’ & at a normal distance OM=15cm from the apex point 'O'. Find out the volume (in c.c.) of frustum (as shown in the figure above).
The answer is 3232.432929.
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1 solution
HCR's Rank Formula-2 (Rank of Selective Linear Permutations)/ proposed by H. C. Rajpoot /20/11/2014
Q.No.1: Find out the rank in the increasing order of a randomly selected number 58014408 from the set of all the 8-digit numbers, arranged in increasing order, obtained by the digits 0, 1, 4, 5, 8, 9. Repetition of the digits is allowed in the permutations.
Q.No.2: Find out the total 8-digit numbers lying between 20227702 & 75007007 randomly selected from the set of all the 8-digit numbers, arranged in increasing order, obtained by the digits 0, 2, 5 & 7. Repetition of the digits is allowed in the permutations.