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https://texercises.com/exercise/volume-of-a-hollow-cylinder/
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The following quantities appear in the problem: Volumen \(V\) / Höhe \(h\) / Radius \(r\) /
The following formulas must be used to solve the exercise: \(V = \pi h (R^2-r^2) \quad \)
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Exercise:
abcliste abc A copper pipe has araO outer radius and ariO inner radius. How much copper by volume was the alO long pipe made from? One inch is .cm one foot is .cm. abc A copper pipe has an inner radius of briO and is blO long. The volume of copper used is bVO. What is the outer radius of the pipe? abc A copper pipe has an outer radius of craO and is clO long. The volume of copper used is cVO. What is the inner radius of the pipe? abc A copper pipe has an outer radius of draO and an inner radius of driO. The volume of copper used is dVO. How long is the pipe? abcliste

Solution:
abcliste abc V pi R^-r^ h pi r_^-r_^ h pi leftqtyara^-qtyari^right al aV approx aVS abc R sqrtfracVpi h+r^ sqrtfracbVpi bl+bri^ bra approx braS abc r sqrtR^-fracVpi h sqrtcra^-fraccVpi cl cri approx criS abc h fracVpiR^-r^ fracdVpidra^-dri^ dl approx dlS abcliste
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Exercise:
abcliste abc A copper pipe has araO outer radius and ariO inner radius. How much copper by volume was the alO long pipe made from? One inch is .cm one foot is .cm. abc A copper pipe has an inner radius of briO and is blO long. The volume of copper used is bVO. What is the outer radius of the pipe? abc A copper pipe has an outer radius of craO and is clO long. The volume of copper used is cVO. What is the inner radius of the pipe? abc A copper pipe has an outer radius of draO and an inner radius of driO. The volume of copper used is dVO. How long is the pipe? abcliste

Solution:
abcliste abc V pi R^-r^ h pi r_^-r_^ h pi leftqtyara^-qtyari^right al aV approx aVS abc R sqrtfracVpi h+r^ sqrtfracbVpi bl+bri^ bra approx braS abc r sqrtR^-fracVpi h sqrtcra^-fraccVpi cl cri approx criS abc h fracVpiR^-r^ fracdVpidra^-dri^ dl approx dlS abcliste
Contained in these collections:
  1. Hohlzylindervolumen by TeXercises
    6 | 6
  2. Volumen by uz
    5 | 10


Attributes & Decorations
Tags
copper, cylinder, geometry, hollow cylinder, mathematics, mechanics, physics, pipe
Content image
Difficulty
(1, default)
Points
4 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration