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?

28.1 but im not sure.

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?

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.

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.

hello people

I forgot the paprika

To find the weight of the second container, we can use the concept of the volume ratio between similar solids.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height.

Since the second container is similar to the first container, the ratio of the volumes of the two containers will be the same as the ratio of their heights cubed.

Given that the height of the second container is three-fourths (3/4) the height of the first container, the height ratio is (3/4)^3.

Let's calculate the height ratio:
(3/4) * (3/4) * (3/4) = 27/64

This means the volume of the second container is (27/64) times the volume of the first container.

Since the weight of both containers is directly proportional to their volume (considering that they are made of the same material), the weight ratio will also be (27/64).

Let's calculate the weight of the second container:
Weight of second container = (weight of first container) * (weight ratio)
Weight of second container = 36 ounces * (27/64)
Weight of second container ≈ 15.1 ounces

Therefore, the second container weighs approximately 15.1 ounces to the nearest tenth of an ounce.