Question

water is placed in a Cinderella bucket on a bench the bucket has a diameter of 12 in and a height of 12 in The bench is capable of supporting 200 lb The water weighs about 64.2 pounds per cubic foot how how much does the bucket in the water weigh

Answer 1

EXPLANATION

Let's see the facts:

Bucket diameter = 12 inches

Bucket height = 12 inches

Bench capability = 200lb

Water density = 64.2 pounds/ ft^3

Considering that the bucket is a cylinder, first we need to convert the inches units to feets units:

1 feet = 12 inches

So, the diameter would be:

Diameter = 12inches/12inches/feet = 1 feet

Then, the height would be

Height = 12 inches / 12inches/feet = 1 feet

The volume of a cylinder is given by the following formula:

`\text{Volume}_(cylinder)=\pi h((d)/(2))^2`

Substituting terms:

`\text{Volume}_(bucket)=\pi\cdot1\cdot((1)/(2))^2=\pi\cdot(1)/(4)=(\pi)/(4)=0.78ft^3`

The amount of water that can placed on this bucket is:

`\text{Amount of water=density of water}\cdot volume\text{ of bucket}`

Replacing terms:

`\text{Amount of water = }\frac{64.2\text{ pounds}}{ft^3}\cdot0.785ft^3=50.4\text{ pounds}`

Answer: The water on the bucket weights 50.4 pounds.