# Honors Geometry

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A cylindrical container weighs 36 ounces. Another container made out of the same material is similar to the first container with a height that is three-fourths the height of the first container. To the nearest tenth of an ounce, how much does the second container weigh?

• Honors Geometry -

28.1 but im not sure.

• Honors Geometry -

Well... i got this so far..

W1 = weight of first container = 36 ounces
W2 = weight of second container

Use the ratio of weights of similar solids to solve for the weight of the second container.

W2/W1 = t^3

W2/36 = (3/4)^3

W2/36 = 27/64

W2 = 36*27/64 = 15.1875

Rounded to the nearest 10th 15.2
The second cylindrical container weights 15.2 ounces.

Is that right?

• Honors Geometry -

If they are really similar, multiplying by 27/64 as you did is correct. That assumes that the wall thickness as well as the radius and height are 3/4 of the original.

• Honors Geometry -

If they both had the same wall thickness (for example tin cans made out of the same sheets of metal) you would multiply by 9/16.
The reason I mention this is that they went out of their way to say that it was a container and not a solid cylinder.

• Honors Geometry -

hello people

• Honors Geometry -

I forgot the paprika

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