In giving a patient a blood transfusion, the bottle is set up so that the level of blood is 1.3 m above the needle, which has an internal diameter of 0.36 mm and 3 cm in length . If `4.5 cm^(3)` of blood passes through the meedle in one minute, calculate the viscosity of blood. The density of blood is 1020 kg `m^(-3)`.

Explanation

To calculate the viscosity of blood given the parameters in the question, we will follow these steps:

### Step 1: Convert all measurements to SI units
- **Internal diameter of the needle (d)** = 0.36 mm = 0.36 × 10^(-3) m
- **Radius of the needle (r)** = d/2 = 0.18 × 10^(-3) m
- **Length of the needle (L)** = 3 cm = 3 × 10^(-2) m
- **Volume flow rate (V)** = 4.5 cm³/min = 4.5 × 10^(-6) m³/min = (4.5 × 10^(-6) m³) / 60 s = 7.5 × 10^(-8) m³/s
- **Height of blood above the needle (h)** = 1.3 m
...