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Radius of a sphere is increasing at the ...

Radius of a sphere is increasing at the rate of 2 cm/s The rate of change of its volume, when radius is 6 cm, is

A

`288pi cm^3//s`

B

`8 cm^3//s`

C

`12picm^3//s`

D

None of these

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Which of the following has neither local maxima nor local minima?

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  2. Edge of a cube is increasing at the rate of 2 cm/s. The rate of change...

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  3. Radius of a sphere is increasing at the rate of 2 cm/s The rate of cha...

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  4. In which of the following interval x^2 e^x is increasing ?

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  5. For what value of x, slope of the tangent to the curve y = x^3 + x + 1...

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  6. The value of x for which function sin 2x attains its maximum is :

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  7. Which of the following functions are strictly decreasing on ( 0, pi/2 ...

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  8. The radius of an air bubble is increasing at the rate of 0.2 cm/s. The...

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  9. In [0,pi/2] the function f(x) = log sin x is

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  10. Which of the following function is always increasing?

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  11. The slope of the normal to the curve y =3x^2 +2 sin x at x =0 is

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  12. The radius of a circle is increasing at the rate of 0.14 cm/sec. The r...

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  13. Which of the following function is strictly decreasing in ( 0, pi/2) ?

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  14. The function f(x) = sin x + cos x has maxima or minima at x =

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  15. Find the rate of change of the area of a circle per second with respec...

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  16. Find the rate of change of the area of a circle with respect to its ra...

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  17. Which of the following function is increasing for all values of x in i...

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  18. The interval in which te function f(x) =x^2 -6x+5 increasing is

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  19. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

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  20. If x is real, the maximum value of x^2 -8x + 17 is

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