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Find the rate of change of area of the c...

Find the rate of change of area of the circle with respect to its radius 'r' when `r=3.5` cm.

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22 cm
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Knowledge Check

  • The rate of change of the area of a circle with respect to its radius r when r = 3 cm is :

    A
    `6picm^(2)//cm`
    B
    `4picm^(2)//cm`
    C
    `5picm^(2)//cm`
    D
    None of these.
    • NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6a
    1. Find the rate of change of area of the circle with respect to its radi...

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    2. (i) The radius of a circle is increasing at the rate of 5 cm/sec. Fin...

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    3. The side of a square is increasing at a rate of 3 cm/sec. Find the rat...

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    4. The side of a square is increasing at a rate of 4cm/sec. Find the rate...

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    5. The rate of increase of the radius of an air bubble is 0.5 cm/sec. Fin...

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    6. A balloon which always remains spherical, is being inflated by pump...

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    7. The volume of cube is increasing at a rate of 9 cm^(3)//sec. Find the ...

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    8. The volume of a spherical balloon is increasing at a rate of 25 cm^(3...

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    9. The surface of a spharical balloon is increase of its volume when its ...

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    10. The length of a rectangle is decreasing at a rate of 3 cm/sec and brea...

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    11. Find the point on the curve y^2dot 8xdot for which the abscissa and or...

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    12. A particle moves along the curve 6y = x^3 + 2. Find the points on the...

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    13. The base of a cubical tank is 25 m xx 40 m. The volume of water in the...

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    14. The oil is leaking from a drum at a rate of 16 cm^(3)//sec. If the rad...

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    15. The water is leaking from a conical funnel at a rate of 5cm^(3)//min. ...

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    16. A man of height 160 cm walks at a rate of 1.1 m/sec from a lamp post w...

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    17. The total cost C(x) in Rupees, associated with the production of x ...

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    18. The total revenue of selling of x units of a product is represented by...

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    19. A ladder is inclined to a wall making an angle of 30° with it. A man i...

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    20. The one end of a 20 m long ladder is on the floor and the other end i...

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