A cone is cut parallel to its base in 3 parts in such a way that the height of each part is same. Find the ratio of volume of these parts?
Volume of cone ABC = 1/3 π(r1)2 h ............(1) Volume of Frustrum BCED = 1/3 π(2r1)2 2h - 1/3 π(r1)2h = 7/3 π(r1)2 h ............(2) Volume of Frustrum DEGF = 1/3 π(3r1)2 3h - 1/3 π(2r1)2 2h = 19/3 π(r1)2 h ............(3) Now, ratio = 1/3 π(r1)2 h: 7/3 π(r1)2 h: 19/3 π(r1)2 h = 1:7:19
In which of the following expression will the expression ‘Q > T’ be definitely false?
Statements: F < G ≤ H; D < I; J ≥ G; F < A < D
Conclusions:
I. I > F
II. J > A
III. D > G
Statements: P ≥ Q > S< T > R = U
Conclusions: I. P < S
II. U = S
Statements: V = W ≤ X > R ≥ O; C < O; F = X
Conclusion: I. F > R II. X > C
Statements:
P < Q < R < S ≤ B < H; S > N ≥ Y
Conclusions:
I) P < Y
II) R ≥ N
Statements:
P ≥ Q = R; S = T ≤ U ≥ P
Conclusion:
I. R < S
II. T ≤ Q
Statement: A=C≤D>B; B>F ; C ≥G
I. D≥G
II.F<C
Statement: P ≤ W < O = D ≥ G > T
Conclusions:
I. P ≤ T
II. W < D
Statement:G≥ K, K ≤ S, S = M, M < N
Conclusion: I. N > K II. G < S
Statements: C = D ≥ G ≥ H; K ≤ I < H; K < F < E
Conclusions:
I. C ≤ I
II. G > F
III. H ≤ D