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    Cr B CSA of cylinder

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    rudrani.misra

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    © All Rights Reserved
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    Cr B CSA of cylinder

    Uploaded by

    rudrani.misra
    0 views2 pages

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    0 views2 pages

    Cr B CSA of cylinder

    Uploaded by

    rudrani.misra

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    Investigation of Curved Surface Area of a Cylinder

    A Student Russell created an animation on the formation of Cylinder using a Rectangular


    sheet of paper with two congruent circles.

    WhatsApp Video
    2022-11-09 at 2.53.51 PM.mp4

    In this problem, you are going to investigate the Curved Surface area of a Cylinder.

    Various stage of Rectangles are show below from which the cylinder has been made up.

    a) Show that the radius of the cylinder in the stage 1 is cm

    Given below is the table for the radius of the base of the cylinder.
    b) Complete the table with missing values of the radius at each stage.

    Stage (n) Radius (r) in cm Height (h) in cm


    5
    1 3
    2𝜋
    8
    2 5
    2𝜋
    11
    3 7
    2𝜋
    4

    6
    c) Describe the pattern you observe for the radius of the base of the cylinder.
    d) Describe the pattern you observe for the height of the base of the cylinder.
    e) Write a general rule for the radius (r) of the base of the cylinder
    f) Write a general rule for the height (h) of the base of the cylinder.
    g) Test your general rule for the radius.
    h) Test your general rule for the height (h) of the cylinder.
    i) Show that the CSA of the cylinder in the stage 2 is 40 cm2.
    Given below is the table showing the table for the CSA of the cylinder made in each stage.

    Stage (n) CSA (A) cm2.


    1 15
    2 40
    3 77
    4 126
    5
    6

    j) Complete the table below with the missing values of the CSA of the cylinder.
    k) Describe the pattern you observe for the CSA of the cylinder.
    l) Write the general rule for the CSA of the cylinder.
    m) Verify the general rule for the CSA.
    n) Justify the general rule for the CSA of the cylinder obtained.

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