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A right circular cylindrical tank of 9 m...

A right circular cylindrical tank of 9 metre height is filled with water. Water comes out from there though a pipe having length of 6 cm diameter with a speed of 225 metre per minute and the tank becomes empty after 2 hrs. 24 minutes. Calculate the length of diameter.

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A right circular cylindrical tank of 9 metres height is filled with water. Water comes out from there through a pipe having length of 6 cm diameter with a speed of 225 metre per minute and the tank becomes empty after 2 hours 24 minutes. Calculate the length of radius of the tank.

A right circular cylindrical tank of 9 metre height is filled with water. Whater comesout from there through a pipe having length of 6 cm diamter with a speed of 225 metres per minute and the tank becomes empty after 36 minutes. Calulate the length of radius of the tank.

A group of fire brigade personnel carried a right circular cylindrical tank filled with water and pumped out water at a speed of 420 metres per minute to put the fire in 40 minutes by three pipes of 2 cm diameter each. If the diameter of the tank is 2* 8 metres and its length is 6 metre, then calculate (a) what volume of water has been spent in putting out the fire and (b) hte volume of water that still remains in the tank .

Both ends of right circular cylindrical tank are semicircular . If diameter of the tank be 1.4 metre and length be 5 metre , then what will be the expenditure of colouring the external surface of the tank at the rate of Rs 10 per square - metre ?

If the surface area of a right circular cylindrical pillar is 264 sq-metres and volume is 396 cubic-metres, then calculate height and length of diameter of this pillar.

Height of a hollow right circular cylinder, open at both ends, is 2*8 metres. If length of inner diameter of the cylinder is 4*6 dcm and the cylinder is made up of 84*48 cubic-dcm of iron, then calculate the length of outer diameter of the cylinder.

Out of three jars of equal diameter and height, 2/3 part of the first, 5/6 part of the second and 7/9 part of the third were filled with dilute sulphuric acid. Whole of acid in the three jars were poured into a large jar of 2*1 dcm diameter, as a result the height of acid in the jar becomes 4*1 dcm. If the length of diameter of each of the three equal jars is 1*4 dcm. Calculate the height of three jars.

There are some water in a long gas jar of 7 cm diameter. If a solid right circular cylindrical pipe of iron having 5 cm length and 5*6 cm diameter be immersed completely in that water, calculate how much the level of water will rise.

The length of a cuboidal tank is 20 metres. The height of the water- level in the tank decreases by 15 cm when 18 kilolitres water is taken out from the tank. Then find the breadth of the tank.

UNITED BOOK HOUSE-PATRASAYER BAMIRA GURUDAS INSTITUTION, BANKURA-EXERCISE
  1. If 1/x-1/y alpha 1/(y-x), show that x alpha y.

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  2. If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

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  3. If x/(y+z)=y/(z+x)=z/(x+y) prove that the value of each ratio is eithe...

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  4. State and prove Pythagoras theorem.

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  5. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  6. O is any point inside a rectangle. Prove that OA^2+OC^2=OB^2+OD^2.

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  7. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

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  8. Geometrically calculate the value of sqrt(23). (Only traces of constru...

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  9. Draw a triangle whose one of the side is 7.2 cm and adjacent angles of...

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  10. Sum of two angles is 135^@ and their difference is pi^c/12. Find the s...

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  11. If costheta= x/sqrt(x^2+y^2) show that x sin theta = y cos theta.

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  12. If sin 17^@ = x/y show that sec 17^@-sin 73^@ = x^2/(ysqrt(y^2-x^2).

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  13. From a point on the roof of five storied building the angle of elevati...

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  14. Mohit, standing in the midst of a field, observes a flying birds in hi...

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  15. The curved surface of a solid metalic sphere is cut in such a way tha...

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  16. A right circular cylindrical tank of 9 metre height is filled with wat...

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  17. Half of the cuboidal water tank with length 2.1m and breadth of 1.5m i...

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  18. find the median of the following frequency distribution

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  19. Find the mode of the following frequency distribution.

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  20. Draw an ogiove (less than type) from the given data.

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