Question
Area of a rectangle is equal to the total surface area
of a hemisphere having volume 1458 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 = 1458 r3 = 729 r = 9 So, the total surface area of the hemisphere = 3 × π × 9² = 3 × 3 × 9² = 729 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 = 729 x² = 324 x = 18 So the breadth of the rectangle = 18 cm Length of the rectangle = 18 × 2.25 = 40.5 cm So the perimeter of the rectangle = 2 × (40.5 + 18) = 117 cm
Eight persons namely - Harsh, Khushi, Jay, Rohan, Ashwin, Palak, Jayesh and Nilamber live on separate floors of an eight-floor building in an apartment....
A is the good of B, which is the only son of C. D is the husband of C. What does A have to do with C?
Select the figure that will replace the question mark (?) in the following figure series.
Complete the analogy-
Peacock:India::Bear:?
What is the median of 5, 2, 7, 8, 1 and 4?
Given below is a statement followed by some conclusions. You have to take the given statement to be true even if it seems to be at variance with the com...
Select the figure that will come next in the following figure series.
Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter-cluster.
B, D, F, H, G, O, T and W are eight family members. B is the brother of G. T is the son of W. O is the son of G. H is D’s wife. G and W are sisters. F...
The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown below. Choose a figure which would most closely ...
