water is flowing at 0.7m/s through a circular pipe of an internal diameter of 2 cm into a cylindrical tank, the radius of whose base is 40 cm. find the increase in water level in 30 minutes

315 cm

Step-by-step explanation:

The volumetric flow is:

Q = vA

Q = v (πr²)

Q = (70 cm/s) π (2 cm) ²

Q = 280π cm³/s

After 30 minutes (1800 seconds), the volume change is:

ΔV = Q Δt

ΔV = (879.6 cm³/s) (1800 s)

ΔV = 504,000π cm³

The increase in water level is therefore:

ΔV = A Δh

ΔV = πR² Δh

504,000π cm³ = π (40 cm) ² Δh

Δh = 315 cm