Answers are:
a) How many buckets of water would they need to fill the pool two-thirds way?
178 buckets
b) What assumption did you make to arrive at your answer?
*I assumed the buckets would be full to the top and not spill
*I assumed the pool is a rectangle with square sides and bottom, not rounded
*I assumed the bucket is a cylinder with the same radius top and bottom with straight sides
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We know
The base of the pool has dimensions 4 m by 2 m and the height is 1 m
they decided to fill the pool only two-thirds way.
Each water bucket has radius 0.13 m and height 0.55 m.
First, we find the volume of the pool
Which is Length x width x height.
4 x 2 x 1 = 8m
They will be filling only 2/3 of the pool
V is 8m x 2/3 = 16/3 m to fill only 2/3
Now to find the volume of the bucket (cylinder)
V = TT x radius^2 x height
V = 3.14 x .13^2 x .55
V = 3.14 x .0169 x .55
V = .03
Now we need to find how many buckets (.03) in the 2/3 volume pool (16/3)
Since we want to divide, let’s turn .03 into a fraction, 3/100.
Now divide volume of pool at 2/3 full by volume of the bucket
16/3 divided by 3/100
When we divide fractions we flip the divisor and multiply
16/3 x 100/3 = 1600/9 = 177.77 repeating
Round to 178 buckets