Question 179644This question is from textbook
: A drug manufacturing company wants to manufacture a capsule that contains a spherical pill inside. The diameter of the pill is 4mm and the capsule is cylindrical, with hemispheres on either end. The length of the capsule between the two hemispheres is 10mm. Describe how we could find the exact volume the capsule will hold, excluding the volume of the pill. What is the value that you get from your calculation? Why is it important for us to be able to determine the exact volume of that capsule?
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A drug manufacturing company wants to manufacture a capsule that contains a spherical pill inside. The diameter of the pill is 4mm and the capsule is cylindrical, with hemispheres on either end. The length of the capsule between the two hemispheres is 10mm. Describe how we could find the exact volume the capsule will hold, excluding the volume of the pill. What is the value that you get from your calculation? Why is it important for us to be able to determine the exact volume of that capsule?
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The capsule is made of a cylinder plus tow hemispheres.
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Cylinder Volume:
radius = 2mm
base area = 4(pi) mm^2
height = 10 mm
Cylinder volume = 40pi mm^3
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2 hemisphere volume = 1 sphere volume
V = (4/3)pi*r^3
V = (4/3)pi*8 = (32/3)pi mm^3
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Total capsule volume = [(32/3) + (120/3)]pi mm^3 = (152/3)pi mm^3
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Cheers,
Stan H.
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