Estimate the volume of a human heart (in mL) using the following measurements/assumptions: Blood flow through the aorta is approximately 11.2 cm/s The diameter of the aorta is approximately 3.0 cm Assume the heart pumps its own volume with each beat Assume a pulse rate of 67 beats per minute.

The correct answer is 70.92 ml.

Explanation:

Based on the given question, the rate of the flow of blood through the aorta (v) is 11.2 cm/s.  

The given diameter of aorta is 3.0 cm

Thus, the radius (r) of aorta will be, 3.0/2 = 1.5 cm

The cross-sectional area of the aorta (A) will be calculated by using the formula, πr²

= π ×(1.5)² cm²

= 2.25 π cm²

The pulse rate given is 67 beats per minute, therefore, time taken for 67 beats is 60 seconds, hence, time taken for 1 beat will be 60/67 second

Now the volume of the heart will be,  

= A × v × t

= 2.25 π cm² × 11.2 cm/s × 60/67 s

= 70.92 cm³

As 1 cm³ is equal to 1 ml. So, the volume of a human heart will be 70.92 ml.  

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