Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is1). 7 cm 2). 9 cm3). 10 cm 4). 8 cm
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1. Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?
2. A canvas tent (conical in shape), 16 m high and 10 m radius is to be made. If the cost of the canvas is Rs 110.65 per meter, then find the total expenditure incurred, if the width of the canvas is 2√89 m.
3. The radius of a circle is 20% more than the height of a right angled triangle. The base of triangle is 36 cm. If the area of triangle and circle be equal, what will be the area of circle ?
4. The perimeter of a square is twice the perimeter of rectangle. If the perimeter of the square is 72 cm and the length of the rectangle is 12 cm, what is the difference between the breadth of the rectangle and the side of the square?
5. If the area of a triangle is 3549 m2 the ratio of its height to its base is 6 : 7, then the base of triangle is:
6. The diameter of a circle is 28 cm find its area?
7. A rectangular swimming pool of length 25 m and breadth 12 m has a uniformly sloping floor. It is 2 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool?
8. The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is
9. A room 4 m × 9 m is to be carpeted leaving a margin of 5 cm form each wall. If cost of the carpet is Rs. 15 per m2, then cost of carpeting the room will be.
10. In ΔABC, the medians AD and BE meet at G. The ratio of the areas of ΔBDG and the quadrilateral GDCE is
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