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If the volume and lateral surface of a right circular cone are numarically equal and the height and base radius of the cone are h and r respectively, then the value of `(1)/(r^2) + (1)/(h^2)` is

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The numerical values of the volume and the lateral surface area of a right circular cone are equal. If the height and the radius of the cone are h unit and r unit respectively , then find the value of (1)/(h^2)+(1)/(r^2) .

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UNITED BOOK HOUSE-SUGGESSTION OR MADHYAMIK PARIKSHA-EXERCISE
  1. AOB is a diameter of a circle having centre.O. C is any point on it. I...

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  2. In triangle ABC, AB = (2a-1)cm,AC = 2sqrt(2a)cm, BC = (2a+1)cm, find ...

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  3. If the volume and lateral surface of a right circular cone are numaric...

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  4. If the length of radius of a sphere is increased by 50%, then how much...

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  5. If the height of two right circular cylinder are in the ratio of 1:2 a...

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  6. The length of two adjacent walls of a room are 12m and 8 m respectivel...

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  7. Find the minimum value of (9 tan^2 theta+4 cot^2 theta) when 0^@lethet...

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  8. Find the value of (2 sin^2 63^@+1+2sin^2 27^@)/(3cos^2 17^@-2+3cos^2 7...

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  9. If tan alpha.tan2alpha = 1 then find the value of cos2alpha.

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  10. If 0^@lethetale90^@ then show that sin theta+ cos theta>1.

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  11. If the mean of 7,(x-3),10,(x+3) and (x-5) is 15, then find the median ...

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  12. If ui = (xi-25)/10, sumfiui = 20 and sumfi = 100 then find the value o...

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  13. At the same rate of simple interest in percent per annum, if a princip...

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  14. If simple interest and compound interest of a certain sum of money for...

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  15. Nivedita and Uma have started a business with capital Rs.3000 and Rs 5...

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  16. As a result of publicity on against smoking the number of smoker is de...

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  17. Solve: x/(x+1)+(x+1)/x = 2 1/12 (x!=0,-1)

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  18. Solve: (12x+17)/(3x+1)-(2x+15)/(x+7) = 3 1/5[x!= -1/3,-7]

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  19. The ratio of the roots of the quadratic equation ax^2+bx+c=0(a!=0) is ...

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  20. A man travelled 84 kms by cycle and observed that if he would be cycli...

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