Question
The ratio of the radii of the bases of a cylinder and a
cone is 2:3, while the ratio of their heights is 3:5. What is the ratio of the volume of the cylinder to the volume of the cone?Solution
ATQ,
Let r and R be the radii of the bases of the cylinder and the cone, respectively. r/R =2/3 Let h and H be the heights of the cylinder and the cone, respectively. h/H =3/5 The formula for volume ratio: Substituting values:
Hence, the ratio of the volumes is 4:5.
Statement:
N > I ≥ H > O; O ≤ J ≤ K < F; H > P < C; C = R < S;
Conclusion:
I. I > C
II. P < F
III. H < S
Statements:M > N,N < O,O < P
Conclusions: I. M ≥ P II. O > M
Statement: B = E ≥ F ≥ M < J < V ≥ R; M > A
Conclusion:
I. A ≥ R
II. B > A
...Statements: Â A % B & G % B; B # L & J; J @ K # S
Conclusions:
I. L @ K
II. A % K
III. S @ B
...In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statements: E # L, L @ U, U $ N, N % K
Conclusions: I. K @ U II. K % U III. E @ U
...Statements: D < E = F > G < H < I < J; K > H = N < P < O
Conclusions:
I. O > G
II. N = K
III. F < J
In Which of the following expressions does the expression ‘ H ≥ D ’ definitely hold true?
Statements: R ≥ S > T; U < V ≤ T; V > W
Conclusions:
I. R > V
II. W < S
 III. T > W
Statements:Q = S > T > Z; T > Y = H < I
Conclusions: I. Z > H II. I > Z