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A balloon which always remains spherical...

A balloon which always remains spherical, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon is increasing when the radius is 15 cm.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(pi)cm//s`
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A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimeters of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm.

A balloon,which always remains spherical on inflation,is being inflated by pumping in 900 cubic centimetres of gas per second.Find the rate at which the radius of the balloon increases when the radius is 15cm.

Knowledge Check

  • A copper sphere is being heated. Its volume as a result of increasing at the rate of 1mm^(3) every second. Find the rate at which its surface area is increasing when its radius 10 cm.

    A
    `0.2mm^(2)//s`
    B
    `0.02mm^(2)//s`
    C
    `0.02cm^(2)//s`
    D
    none

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