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Sand is pouring from a pipe at the rate ...

Sand is pouring from a pipe at the rate of`12\ c m^3//s` . The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?

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Sand is pouring from a pipe at the rate of 12cm^(3)/s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base.How fast is the height of the sand cone increasing when the height is 4cm.

Sand is pouring from pipe at the rate of 12 cm^(3)//s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one - sixth of radius of base. How fast is the height of the sand cone increasing when height is 4 cm,

Sand is pouring from a pipe at the rate of 18 cm^(3)//s . The falling sand forms a cone on the ground in such a way that the height of the cone is one-sixth of the radius of the base. How fast is the height of the sand cone increasing when its height is 3 cm?

Sand is pouring from a pipe at the rate of 12cm^(3)/s. The falling sand forms a cone on the ground in such a way that the height of the cone is always 1/6th of the radius of the base. How fast does the height of the sand cone increase when the height in 4cm?

Sand is pouring at the rate of 12 cm^(3)"/sec" . The falling sand forms a cone on the ground in such a way that the height of the cone is always ((1)/(6))^(th) of the radius of the base. If the height of sand is 4 cm, then the rate at which height of sand increasing, is

Sand is being poured onto a conical pile at the constant rate of such that the height of the cone is always one half of the radius of its base. How fast is the height of the pile increasing when the sand is 5 cm deep.

Sand drops from a pipe at the rate 3 cubic ft./ minute and forms a heap of one on the ground of vertical angle 90. Atwhat rate the height is increasing after 4 minutes.

If the height of a cone is half the radius of a sphere then the radius of the base of the cone, which has the same volume as a sphere of radius 7 cm is :

A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, then what is the height of the cone?

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

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  2. If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1-(z-3)...

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  3. Sand is pouring from a pipe at the rate of12\ c m^3//s . The falling s...

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  4. Write the value of tan(2tan^-1(1/5)) .

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  5. Find (dy)/(dx)\ if (x^2+y^2)^2=x y

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  6. If y=3cos(logx)+4sin(logx),\ then show that x^2dot(d^2\ y)/(dx^2)+...

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  7. If x^m y^n=(x+y)^(m+n), prove that (dy)/(dx)=y/x .

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  8. Evaluate: int(3x-1)/((x+2)^2)\ dx

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  9. Evaluate: intx^2tan^(-1)x\ dx

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  10. If the binary operation * on the set of integers Z , is defined by ...

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  11. If int0^1(3x^2+2x+k)dx=0, find the value of kdot

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  12. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

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  13. Evaluate: int0^(pi/2)2sinxcosxtan^(-1)(sin"x")"\ dx"

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  14. integrate

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  15. Find the projection of vec a on vec b , if vec a . vec b =8 and vec b=...

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  16. Evaluate : int(sec^2x)/(3+tanx)\ dx

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  17. Using principal value, evaluate the following: sin^(-1)(sin ((3pi)/5...

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  18. Write the value of the determinant |[2, 3, 4],[ 5, 6, 8],[ 6x,9x, 12 x...

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  19. If matrix A=(1\ 2\ 3),\ write A A', where A ' is the transpose o...

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  20. Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\

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