SOLUTION: 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

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Question 199170: 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?
I keep coming up with the wrong answer, this is the last chance my teacher will give me can someone please help.?
Answer by Alan3354(69443) (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 volume of the capsule is

The first term is for the sphere. 1/2 of the sphere is on each end of the capsule.
The 2nd term is the volume of the cylinder, with h = the distance of the cylindrical part, not including the spherical ends.
If you want help with the calculations, or want me to check your work, email me via the thank you note.
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It's important to know the volume of the capsule because that's how much medication it will contain.