Question

The volume of an object with curved surfaces will be measured by immersing it in water. The diameter of the cylindrical vessel containing the water was measured as 100 mm +/- 0.1 mm. The increase in the water level was measured as 10 +/- 1 mm. (pi number is used as 3.14). What is the volume of the object? 

          The volume of an object with curved surfaces will be measured by immersing it in water. The diameter of the cylindrical vessel containing the water was measured as 100 mm +/- 0.1 mm. The increase in the water level was measured as 10 +/- 1 mm. (pi number is used as 3.14). What is the volume of the object?
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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The volume of an object with curved surfaces will be measured by immersing it in water. The diameter of the cylindrical vessel containing the water was measured as 100 mm +/- 0.1 mm. The increase in the water level was measured as 10 +/- 1 mm. (pi number is used as 3.14). What is the volume of the object?
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Transcript

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00:01 A radius of 20 meters and a height of 100 meters.
00:04 A glass sphere with a radius of 12 meters is placed inside the cylinder shape container and then the container is filled with water.
00:11 What is the appropriate formula of water contained in the cylinder? so you would have to find the volume of the cylinder, find the volume of the sphere, and then you have to take your volume of your cylinder, subtract your volume of your spear, and you get your final answer.
00:31 Okay.
00:32 So then it wants you to find the volume.
00:35 Okay.
00:37 So i'm going to do volume equals 3 .14 times the radius of 20 squared times the height of 100.
00:48 So that is 3 .14 times 20 times 20 times 100 is 125 ,600...
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