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Can somebody please tell me the capacity in ounces of a glass that is 4 3/4 inches tall with a 3 1/4 inch interior diameter.?

4 Answers

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  • ?
    Lv 5
    7 years ago

    I looked up a conversion from cubic inches to oz. 1in^3=0.554 oz.

    So now find the volume of the cylinder which is the area of the base times the height

    the radius of the base is 1/2 of 3 1/4 or 13/8

    area=pi*r^2=169pi/64 in^2

    the height is 19/4 in

    the volume is 39.405 in^3 or 21.8 oz

    a cup is 8 oz and a pint is 16 oz

  • Acer
    Lv 6
    7 years ago

    Assumption is that the glass is a cylinder and the volume formula is area of the circular cross section times the height.

  • 7 years ago

    V = (pi)(r^2)(h)

    h = 4.75in

    d = 3.25in

    r = d/2 = 3.25/2 = 1.625

    pi ~ 3.142

    V = (3.142)(2.641)(4.75) = 39.41in^3

    There are 0.5541 US fluid ounces to a cubic inch:

    39.41in^3(0.5541floz/in^3) = 22.8 fluid ounces to 3 significant figures

  • ?
    Lv 7
    7 years ago

    Hello : You need the following :

    -----------------------------------------

    V = ( pi / 4 ) ( D )^2 ( h )

    V = ( pi / 4 ) ( 3.25 in )^2 ( 4.75 in ) = 39.40 in^3

    V = ( 39.40 in^3 ) ( 2.54 cm / in )^3 ( 1.0 oz / 29.5735 cm^3 )

    V = 21.8 oz <---------------------------

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