Answer :
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:
[tex]\text{Volume}_{cylinder}=\pi h(\frac{d}{2})^2[/tex]Substituting terms:
[tex]\text{Volume}_{bucket}=\pi\cdot1\cdot(\frac{1}{2})^2=\pi\cdot\frac{1}{4}=\frac{\pi}{4}=0.78ft^3[/tex]The amount of water that can placed on this bucket is:
[tex]\text{Amount of water=density of water}\cdot volume\text{ of bucket}[/tex]Replacing terms:
[tex]\text{Amount of water = }\frac{64.2\text{ pounds}}{ft^3}\cdot0.785ft^3=50.4\text{ pounds}[/tex]Answer: The water on the bucket weights 50.4 pounds.