The capacity of this bucket used to be 28.26 liters. There was a hole 3 cm away from the bucket mouth. The diameter of the bucket is 3 decimeters. How many liters of water can this bucket hold now?

The capacity of this bucket used to be 28.26 liters. There was a hole 3 cm away from the bucket mouth. The diameter of the bucket is 3 decimeters. How many liters of water can this bucket hold now?

Original barrel height h = 28260 (cm3) / (3.14 * 15 * 15) = 40 (CM)
Now it can hold water v = (40-3) * (3.14 * 15 * 15) = 26.1405 (L)

There are a and B two cylindrical buckets, the bottom radius of a bucket is 12 cm
There are two cylindrical buckets. The bottom radius of bucket A is 12cm, and that of bucket B is 16cm. There is no water in bucket a, but there is water in bucket B, and the height is 20cm. Now pour part of the water in bucket B to bucket a, so that the height of the water in bucket A and bucket B is the same. How much water does bucket a have?

12.8 cm
If the height of the bucket is set to be the same, the height of the bucket with water is x cm
x*12*12*3.14+x*16*16*3.14=16*16*3.14*20
452.16x+803.84x=16076.8
1256X=16076.8
X = 12.8 cm

In a cylindrical bucket with a bottom radius of 20 cm, 25 cm deep water is injected. Now a section of cylindrical steel with a radius of 5 cm and a height of 8 cm is put into the bucket
Immersed in water, how many centimeters does the water level rise in the bucket

Bucket bottom area = 3.14 × 20 & # 178; = 1256 (cm2)
Steel volume = 3.14 × 5 & # 178; × 8 = 628 (cm3)
The water surface rises to = 628 △ 1256 + 25 = 25.5 (CM)
A: the water level in the bucket rises to 25.5cm