Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle
has a length of 4.5 feet and width of x feet. Not drawn to scale Rounded to the nearest tenth, what is the value of x?
A. 0.1 feet
B. 0.6 feet
C. 1.6 feet
D. 2.0 feet
A. 0.1 feet
B. 0.6 feet
C. 1.6 feet
D. 2.0 feet
2 answers:
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<em>Answer</em>
68.4%
<em>Step-by-step explanation</em>
The volume of a cylinder is calculated as follows:
where <em>r </em>is the radius and <em>h </em>is the height of the cylinder.
In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:
In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:
After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, <em>x</em>, represents the volume of cylinder A. We can do this with the help of the next proportion:
Solving for x: