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Let, the radius of the hemisphere be ‘r’ cm. So according to question: (2/3) × 3 × r3 = 8192 r3 = 4096 r = 16 So, the total surface area of the hemisphere = 3 × π × 16² = 3 × 3 × 16² = 2304 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 = 2304 x² = 1024 x = 32 So the breadth of the rectangle = 32 cm Length of the rectangle = 32 × 2.25 = 72 cm So the perimeter of the rectangle = 2 × (72 + 32) = 208 cm
A sum of Rs. 2400 was divided among three persons X, Y and Z such that if their shares were diminished by Rs, 5, Rs. 10 and Rs. 15 respectively, the rem...
The ratio of two numbers 'a' and 'b' is 7:4, respectively. Whereas the ratio of 'b' and 'c' is 5:8, respectively. When 15 is added to 'a', it becomes th...
A factory manufactures three types of products: X, Y, and Z. The average production rates are 50 units per hour for product X, 80 units per hour for p...
Among 132 examinees of a certain school, the ratio of successful to unsuccessful students is 9 : 2, Had 4 more students passed, then the ratio of succes...
The ratio of the monthly expenditure to monthly income is 4:5. If the salary increased by Rs. 4550 such that ratio of old saving and new saving is 2:3, ...
Gagan and Magan have their monthly incomes in the ratio of 9:7 while their monthly expenditures are in the ratio of 6:5, if they have saved Rs. 23,400 a...
In a factory, there are 180 workers comprising both males and females. If 25 male workers are replaced with 25 female workers, th...