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The surface area of a spherical bubble i...

The surface area of a spherical bubble is increasing at the rate of 2 `c m^2//s` . When the radius of the bubble is 6cm, at what rate is the volume of the bubble increasing?

Text Solution

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The correct Answer is:
`6cm^(3)//s`
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Knowledge Check

  • The surface area of a cube is increasing at the rate of 2 cm^(2)//sec . When its edge is 90 cm, the volume is increasing at the rate of

    A
    `1620 cm^(3)//sec`
    B
    `810 cm^(3)//sec`
    C
    `405 cm^(3)//sec`
    D
    `45 cm^(3)//sec`

  • If the surface area of a sphere increases at the rate of 2 sq.ft .//sec, then , when the radius is 6 ft. its volume is increasing at the rate of

    A
    `2 cu. Ft. //sec`.
    B
    `6 cu. Ft. // sec`.
    C
    `3 cu . Ft//sec`.
    D
    `-3cu . Ft.//sec`.

  • Area of circular blot of ink is increasing at the rate of 2cm^(2)//sec. When the area of the blot is 4cm^(2), its radius is increasing at the rate of

    A
    `(1)/(2pi) cm//sec `
    B
    `(1)/(2sqrtpi) cm//sec.`
    C
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    D
    `(pi)/(sqrt2)cm//sec.`

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