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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 12c m^3//sdot 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 4 cm?

Sand is pouring from a pipe at the rate of 12c m^3//sdot 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 4 cm?

Sand is being poured onto a conical pile at the constant rate of 50 cm^3 per minute such that the height of the cone is always ontee half of the radius of its base. How fast is the height of the pile increasing when the sand is 5 cm deep.

The volume of a cone is 18480c m^3dot If the height of the cone is 40cm. Find the radius of its base.

The height of a cone is 15 cm. If its volume is 1570\ c m^3 , find the radius of the base.

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The height of a cone is 15cm. If its volume is 500pi\ c m^3 , then find the radius of its base.

The height of a cone is 24 cm and radius of base is 7 cm. Find its salant height.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-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^2(d^2\ y)/(dx^2)+x(dy...

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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 k

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

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

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

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

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  18. If matrix A=[1\ 2\ 3],\ write A A', where A ' is the transpose of m...

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

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  20. Show that the function f defined as follows, is continuous at x=2 , ...

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