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
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the two conclusions is/are true and then gi...
In which of these expression ‘N > G’ is definitely True?
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 then...
Statements: Z > L = I ≥ X = W > K = P, P < N = R
Conclusions:
I. X > R
II. R > K
III. P ≤ LÂ
Statements: U ≤ X = V < W; V > T = Q ≥ R
Conclusions: I. V ≥ R II. W > R
Statements: F > G ≥ H; I ≥ J < H; J > K > L
Conclusions:
I. F > L
II. H ≥ K
III. G ≥ J
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...
Statement: H > G = M > S; GÂ `>=` Â T > L; MÂ `<=` Â F <Â Â U
Conclusion: Â I. F > SÂ Â Â Â Â Â Â Â Â Â Â II. T < H
...Statements: D = E ≥ F; G > H > D; D > J = I = K
Conclusions:
I. K > D
II. F < G
III. K < H
Which of the following symbols should replace the question marks (?) in the given expression in order to make the expression ‘G ≤ J’ definitely tr...
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