8th grade algebra

Can you clarify when to half the diameter when finding volume of cylinder? I had the following problem:

1. Picture of cylinder with base of 48cm (no dotted lines) and height of 7cm.

I thought i would solve by using V = 3.14(24)^2 (7) = 12,660.5 cubic meters.

According to the teacher's answer sheet, the correct answer is 336 cubic meters using V = Bh or 48(7).

Do I consider taking half of the base only if it's represented by dotted lines?

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  1. V = pi*r^2*h = 3.14*24^2*7 = 12,660.5 cm^3(Not m^3).

    V = B*h, B=Area of the base, V=pi*r^2*h

    48 is not the area of the base; it is the diameter of the base.

    Diameter*height = Square units.

    Diameter/2 = Radius. So you take 1/2 of
    the diameter to get the radius.

    I hope this helps.

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  2. Correction: In your case, 48 is the
    area of the base:

    V = B*h = 48m^2 * 7m = 336 m^3 or 336 cubic meters.

    Again, take half of the base only when it is the diameter.

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