If hearts are geometrically similar and the volume of blood pumped in one beat is proportional to the volume of the heart, how much more blood will a heart 5 cm wide pump in one beat than a heart that is 3cm wide?

Armorikam 2021-03-07 Answered
If hearts are geometrically similar and the volume of blood pumped in one beat is proportional to the volume of the heart, how much more blood will a heart 5 cm wide pump in one beat than a heart that is 3cm wide?
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Expert Answer

Sally Cresswell
Answered 2021-03-08 Author has 91 answers
Step 1
Diameter of 1st pump=5 cm
Diameter of 2nd pump=3 cm
Volume of 1st pump in one beat=π(52)2hcm3=π(52)2×1cm3=π(52)2cm3
Volume of 2st pump in one beat=π(32)2hcm3=π(32)2×1cm3=π(32)2cm3
Then extra blood pumped by 5 cm wide pump in one beat than a heart that in 3 cm wide=π(52)2π(32)2=π(25492)=4πcm3
Step 2
Therefore extra volume of blood pumped =4πcm3
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