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The volume of a sphere is increasing at ...

The volume of a sphere is increasing at the rate of `pi cm^(2)//sec`. The rate at which the radius is increasing is ……….., when the radius is 3 cm.

A

`(1)/(36)` cm/sec

B

36 cm/sec

C

9 cm/sec

D

27 cm/sec

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The correct Answer is:
A
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
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  2. The distance s moved by a particle in time t is given by s=t^(3)-6t^(2...

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

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

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

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

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

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

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  9. f(x)=x^(x) decreases in ……….

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

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

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

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

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

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

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

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  17. Tangent to y=5x^(5)+10x+15 …………..

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  18. f(x)=2x+cot^(-1)x-log|x + sqrt(1+x^(2))| is …………..

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  19. The sum of two non - zero numbers in 12. The minimum sum of their reci...

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  20. The local minimum value of f(x)=x^(2)+4x+5 is ………..

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