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A balloon, which always remains spherica...

A balloon, which always remains spherical, has a variable diameter `(3)/(2)(2x+1)`. Find he rate of change of its volume with respect to x.

A

`(pi)/(8)(2x+1)^(2)`

B

`(27pi)/(8)(2x+1)^(2)`

C

`(27pi)/(8)(2x+1)`

D

None of these

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
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  2. The maximum value of 27^(cos(2x))xx81^(sin(2x)) is …………

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  3. A balloon, which always remains spherical, has a variable diameter (3)...

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  4. The function f (x) is differentiable for every x. f(1)=-2 and f'(x)ge ...

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  5. The side of an equilateral triangle expands at the rate of sqrt(3) cm/...

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  6. The distance s moved by a particle in time t is given by s=t^(3)-6t^(2...

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  7. The volume of a sphere is increasing at the rate of pi cm^(2)//sec. Th...

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  8. There is 4% error in measuring the period of a simple pendulum. The ap...

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  9. The height and radius of a cylinder are equal. An error of 2% is made ...

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  10. The tangent to (at^(2), 2at) is perpendicular to X - axis at

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  11. The line y=mx+1 touches y^(2)=4x, if m = …………

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  12. Find the equation of normal to the curve x^((2)/(3))+y^((2)/(3))=a^((2...

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  13. f(x)=x^(x) decreases in ……….

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  14. f(x)=2|x-2|+3|x-4| is ………… in (2, 4).

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  15. The local maximum value of f(x)=x+(1)/(x) is ………….

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  16. The local minimum value of (x)/(log x) is ……….

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  17. If log(e )4=1.3868, then approximate value of log(e )4.01= …………..

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  18. The circumference of a circle is 20 cm and there is an error of 0.02 c...

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  19. If the line y = x touches the curve y=x^(2)+bx+c at (1, 1), then …………

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  20. y=ae^(x), y=be^(-x) intersect at right angles if ……….. (a ne 0, b ne 0...

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