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Find the rate of change of the area of a...

Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm.

Text Solution

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The correct Answer is:
`10 pi cm^(2)//cm`
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Knowledge Check

  • The rate of change of the area of a circle with respect to its radius r at r = 6 cm is ……….

    A
    `10 pi`
    B
    `12pi`
    C
    `8pi`
    D
    `11pi`

  • If x and y are the sides of two squares such that y=x-x^(2) . Then the rate of change, if the area of second square with respect to the first square, when x = 2, is ……….

    A
    1
    B
    4
    C
    3
    D
    6

  • The rate of change of surface area of a sphere w.r.t. radius is ………..

    A
    `8pi` (diameter)
    B
    `3pi` (diameter)
    C
    `4pi` (radius)
    D
    `8pi` (radius)

    • Similar Questions

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    The rate of cange of volume of sphere with respect to its radius r at r = 2 is __________.

    If the height of the cone is constant then find the rate of change of its curved surface area with respect to its radius.

    Find the rate of change of radius of a sphere when its radius is 4 cm and when its volume is changing at the rate of (4pi)/(625)m^(3)//sec

    What is the rate of change of the volume of sphere w.r.t. its surface area when its radius is 2 units ?

    The sides of two squares are x and y respectively, such that y= x+x^(2) . The rate of change of area of second square with respect to area of first square is ______

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