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What do you mean by 'differential of a function? The radius of a sphere was found by measurement as 20 cm. if the maximum error in this measurement is 0.05 cm , find the maximum error that will occur. In the computation of the curved surface of the sphere.

Text Solution

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The correct Answer is:
`8pi cm^(2)`
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Knowledge Check

  • The radius of shpere is found to be 20 cm with a possible error of 0.05 cm. Percentage error made in computing the volume-

    A
    `(1)/(100)`%
    B
    `(3)/(400)%`
    C
    `(29)/(300)`%
    D
    none of these

  • The radius of sphere is found to be 20 cm with a possible error of 0.05 cm. Error made in computing the volume-

    A
    `4pi`
    B
    `6pi`
    C
    `80pi`
    D
    `2pi`

  • If the radius of a sphere is measured as 14 cm with an error of 0.03 cm , then approximate error in the calculation of its volume is-

    A
    ` 20.52 pi cm^(3) `
    B
    ` 18.96 pi cm^(3) `
    C
    ` 23.52 pi cm^(3) `
    D
    ` 24.96 pi cm^(3) `

    • Similar Questions

    Explore conceptually related problems

    The radius of sphere is found to be 20 cm with a possible error fo 0.05 cm .find the error, relative error and percentage error in the computed volume.

    If the radius of a sphere is measured as 9cm with an error of 0.03 cm, then find the approximate error in calculating its volume.

    If the radius of a sphere is measured as 9 m with an error of 0.03 m, then find the approximate error in calculating its surface area.

    The radius of a right circular cone is measured as 10 cm with a possible error of 0.02 cm and height as 16 cm with a possible error of 0.08 cm. Find the percentage error in computting the volume of the cone.

    If the error in the measurement of radius of a sphere is 2% then the error in the determination of volume of the sphere will be

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