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Answer :
To fill an aquarium with a volume of 65 gallons, 12 buckets of water are required, given that the bucket is in the shape of a cylinder with a diameter of 12 inches and a height of 11.25 inches.
To answer this question, let's first calculate the volume of Alex's bucket. We are given the diameter of the bucket, which is 12 inches. The radius is half the diameter, so the radius of the bucket is 6 inches. The bucket's height is 11.25 inches. We use the formula for the volume of a cylinder: V = πr²h.
V = π(6 in)² * 11.25 in = 1266.75 cubic inches.
Now we know the volume of the bucket in cubic inches. But we need to figure out how many buckets it would take to fill an aquarium with 65 gallons of water. We will need to convert gallons to cubic inches. We know that 1 gallon = 231 cubic inches.
So, the total volume of water in the aquarium is 65 * 231 = 15015 cubic inches.
To find out how many buckets of water we need to fill the aquarium, we divide the total volume of the aquarium by the volume of one bucket. So, 15015 cubic inches / 1266.75 cubic inches/bucket ≈ 11.85 buckets.
Since we can't have a fraction of a bucket, we'll need to round up, because even if a bucket is not completely full, it still counts as a bucket. Therefore, we'll need 12 buckets to fill the aquarium.
Learn more about Volume Calculation here:
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