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A closed cylindrical tank of height 1.4 ...

A closed cylindrical tank of height 1.4 m. and radius of the base is 56 cm. is made up of a thick metal sheet. How much metal sheet is required (Express in square meters)

Text Solution

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The correct Answer is:
`6.90 m ^(2)`
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Knowledge Check

  • A cylindrical block of length 0.4 m and area of cross-section 0.04m^(2) is placed coaxially on a thin metal disc of mass 0.4kg and of the same cross section. The upper face of the cylinder is maintained at constant temperature of 400 K and the initial temperature of the disk is 300K. If the thermal conductivity of the material of the cylinder is 1" wm"^(-1)K^(-1) and the specific heat of the material of the disk is 600 j\kg -K, how long will it take for the temperature of the disc to increase to 350 K. (Assume for purpose of calculation the thermal conductivity of the disc to be very high and the system to be thermally insulated except for the upper face of the cylinder)

    A
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    B
    166 s
    C
    482 s
    D
    300 s

  • If a cylindrical vessel of given volume V with non lid on the top is to be made from a sheet of metal, then the radius (r) and height (h) of the vessel so that the metal sheet used is minimum is

    A
    `r = 3 sqrt((pi)/(V)),h= 3 sqrt((pi)/(V))`
    B
    `r = sqrt(pi V), h = sqrt(pi V)`
    C
    `r = 3 sqrt((V)/(pi)),h= 3 sqrt((V)/(pi))`
    D
    `r = sqrt((V)/(pi)),h = sqrt((V)/(pi))`

  • If a cyclindrical vessel of given volume V with no lid on the top is to be made from a sheet of metal, then the radius (r ) and height (h) of the vessel so that the metal sheet used is minimum, is

    A
    ` r =^3sqrt(V/pi), h =^3 sqrt(V/pi)`
    B
    ` r = sqrt(V/pi), h = sqrt(V/pi)`
    C
    ` r =sqrt(piV), h = sqrt(piV)`
    D
    ` r =^3sqrt(pi/V), h =^3 sqrt(pi/V)`

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