The waters displaced from an overflow can after we put three identical spheres is 21cm3.Find the volume of each spheres.
To find the volume of each sphere, we can use the concept of displacement. Here's how to do it:
1. Start with the information given: the volume of water displaced from the overflow can is 21cm³.
2. Fill the overflow can until water starts overflowing. Note the level at which the water stops.
3. Place the first sphere into the can, making sure it is completely submerged. Again, note the new water level after the overflow can stops overflowing.
4. Repeat the process with the second and third spheres, noting the new water levels for each one.
5. The volume of water displaced by each sphere can be calculated by finding the difference in water levels before and after each sphere is placed. Let's assume the water levels before and after placing each sphere are as follows:
- Before: Water level = A
- After (1st sphere): Water level = B
- After (2nd sphere): Water level = C
- After (3rd sphere): Water level = D
6. Calculate the volume of water displaced by each sphere by subtracting the initial water level (A) from the respective final water levels (B, C, D).
- Volume of 1st sphere = B - A
- Volume of 2nd sphere = C - A
- Volume of 3rd sphere = D - A
7. Since the question states that the spheres are identical, the volume of each sphere will be the same. Therefore, the volume of each sphere is equal to the volume of water displaced by any one of the spheres.
8. Using the information given in the question, the volume of each sphere is 21cm³.
So, the volume of each sphere is 21cm³.