A cylindrical bucket with a diameter of 20 cm and filled with water, its weight is 9.42 kg. Determine the height of the bucket.

d = 20 cm = 0.2 m.

m = 9.42 kg.

ρ = 1000 kg / m3.

h -?

Let us express the density of water ρ through the ratio of the mass of water m to the volume V: ρ = m / V.

We will assume that the bucket has a cylindrical shape, therefore, its volume V will be expressed by the formula: V = S * h, where S is the cross-sectional area of the bucket, h is the height of the water in the bucket.

The area of a circle S is determined by the formula: S = P * d ^ 2/4, where P is the number pi, d is the diameter of the bucket.

V = P * d ^ 2 * h / 4.

ρ = 4 * m / P * d ^ 2 * h.

h = 4 * m / P * d ^ 2 * ρ.

h = 4 * 9.42 kg / 3.14 * (0.2 m) ^ 2 * 1000 kg / m3 = 0.3 m.

Answer: h = 0.3 m.