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The volume of a sphere is increasing in ...

The volume of a sphere is increasing in volume at the rate of `3picm^(3)//sec`. The rate of change of its radius when radius is `1/2` cm

A

3 cm/s

B

2 cm/s

C

1 cm/s

D

`(1)/(2) cm//s`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The volume of a sphere is increasing in volume at the rate of 3pm cm^(3) /sec. The rate of change o its radius when radius is (1)/(2) cm …............

    A
    3 cm/s
    B
    2 cm/s
    C
    1 cm/s
    D
    `(1)/(2)` cm/s

  • The radius of a cylinder is increasing at the rate of 2 cm/sec and the height is decreasing at the rate of 3 cm/sec. The rate of change of volume when the radius is 3 cm and height is 5 cm is:

    A
    `23pi`
    B
    `33pi`
    C
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    D
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    A
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    B
    `16 cm^(2)//sec`
    C
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    D
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