Posted by **Confused.** on Friday, May 2, 2008 at 12:01pm.

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 -
**ally**, Friday, May 2, 2008 at 5:16pm
28.1 but im not sure.

- Honors Geometry -
**Confused.**, Friday, May 2, 2008 at 6:39pm
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 -
**Damon**, Friday, May 2, 2008 at 7:37pm
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 -
**Damon**, Friday, May 2, 2008 at 7:41pm
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 -
**yo**, Monday, May 12, 2008 at 10:23am
hello people

- Honors Geometry -
**jurbal**, Wednesday, March 24, 2010 at 1:21pm
I forgot the paprika

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