Question
Area of a rectangle is equal to the total surface area
of a hemisphere having volume 3456 cm³ . Find the perimeter of the rectangle if its length is 125% more than its breath. (Take π = 3)Solution
Let, the radius of the hemisphere be ‘r’ cm. So according to question: 2/3 × 3 × r3 = 3456 r3 = 1728 r = 12 So, the total surface area of the hemisphere = 3 × π × 12² = 3 × 3 × 12² = 1296 cm² Let the breadth of the rectangle be ‘x’ cm So the length of the rectangle = 2.25x cm According to question: x × 2.25x = 1296 x² = 576 x = 24 So the breadth of the rectangle = 24 cm Length of the rectangle = 24 × 2.25 = 54 cm So the perimeter of the rectangle = 2 × (54 + 24) = 156 cm
Statements:Â
A $ B % D % CÂ
Conclusions:Â
I. B © CÂ
II. A * DÂ
III. C % A
Which of the following expressions will be true if the expression Q ≥ M = R > F = E ≤ X is definitely true?
Statements:
F > L = P ≥ Q ≥ W; X < C ≤ D < W
Conclusions:
I. W > X
II. F > C
What should come in the place of question mark, in the given expressions to make ‘T > Y’ always true?
R > T = U ≥ V ? W ≥ X =Y
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements: D ≤ P > J > N > G, P ≤ R < V, N < K
Conclusions:
I. J < V
II. D > G
Statements: L < E; M = O; E >K ≥ M
Conclusions:
I. L < M
II. K = O
Statements:
P < S < L = Y; H < X < E < T = L > K
Conclusion:
I. K > P
II. X < Y
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 < S = F < G, H < A ≥ F ≤ B
Conclusion:
I. B > E
II. H ≤ GÂ
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