Question

A bucket is 20cm in diameter at the open end 12cm in diameter at the bottom and 16cm deep.To what depth will the bucket fill in cylindrical tin 28cm in diameter

Answer 1

To find the depth the bucket will fill in the cylindrical tin, we need to calculate the volume of the bucket and the volume of the cylindrical tin.

Volume of the bucket:
Radius at the open end = 10 cm
Radius at the bottom = 6 cm
Height of the bucket = 16 cm

Volume = πr1^2h - πr2^2h
Volume = π(10)^2(16) - π(6)^2(16)
Volume = 1600π - 576π
Volume = 1024π cm^3

Volume of the cylindrical tin:
Radius = 14 cm
Height = unknown (let's call it h)

Volume = πr^2h
1024π = π(14)^2h
1024π = 196πh
h = 1024/196
h ≈ 5.22 cm

Therefore, the bucket will fill to a depth of approximately 5.22 cm in the cylindrical tin.