Final answer:
To determine the number of bathtubs needed to hold the same amount of water as an Olympic-sized swimming pool, we need to calculate the volume of both the pool and a bathtub. By converting the pool volume into gallons and dividing it by the bathtub volume, we find that approximately 16,932 bathtubs need to be filled.
Step-by-step explanation:
To find out how many bathtubs need to be filled to hold the same amount of water as an Olympic-sized swimming pool, we need to calculate the volume of the pool and the volume of a bathtub. The volume of the pool can be calculated by multiplying its length, width, and depth: 50m x 25m x 2m = 2500 cubic meters. Next, we need to convert this volume into gallons, since bathtubs are measured in gallons. There are approximately 264.17 gallons in 1 cubic meter, so the volume of the pool in gallons is 2500 x 264.17 = 660,425 gallons.
The volume of a bathtub is given as 38.96 gallons. To find out how many bathtubs are needed, we divide the volume of the pool by the volume of a bathtub: 660,425 / 38.96 = 16,932 bathtubs. Since we need to round to the nearest whole number, the answer is approximately 16,932 bathtubs. So, the correct answer is A) 16,932 bathtubs.