course Mth 271
name: Joe Rasnake
title: Volumes
002. Volumes
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Question: `q001. There are 9 questions and 4 summary questions in this assignment.
What is the volume of a rectangular solid whose dimensions are exactly 3 meters by 5 meters by 7 meters?
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Your solution:
V = 3 * 5 * 7
= 105 m^3
confidence rating #$&*
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Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q002. What is the volume of a rectangular solid whose base area is 48 square meters and whose altitude is 2 meters?
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Your solution:
V = 48 * 2
= 96 m^3
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q003. What is the volume of a uniform cylinder whose base area is 20 square meters and whose altitude is 40 meters?
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Your solution:
V= 20*40
= 800 m^3
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q004. What is the volume of a uniform cylinder whose base has radius 5 cm and whose altitude is 30 cm?
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Your solution:
A= pi* r^2
= pi * 5^2
= pi * 25
= 78.54 cm^2
V = 30cm * 78.54 cm^2
= 2356.19 cm ^3
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q005. Estimate the dimensions of a metal can containing food. What is its volume, as indicated by your estimates?
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Your solution:
Without giving us dimensions how can we etimate of a metal can? Cans come in a variety of shapes and sizes. Volumes will vary with each can. We can find volume of any given can by multipling the altitude by the area.
Pick one and make an estimate.
confidence rating #$&*
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Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q006. What is the volume of a pyramid whose base area is 50 square cm and whose altitude is 60 cm?
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Your solution:
V = 1/3 * 50 * 60
= 1000 cm^3
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q007. What is the volume of a cone whose base area is 20 square meters and whose altitude is 9 meters?
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Your solution:
V= 1/3 * 20 * 9
= 60 m^3
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q008. What is a volume of a sphere whose radius is 4 meters?
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Your solution:
V = 4/3 pi * r^3
= 4/3 * pi * 64
= pi * 256/3m^3
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q009. What is the volume of a planet whose diameter is 14,000 km?
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Your solution:
V = 4/3 pi * r^3
= 4/3 * pi * 7,000km^3
= 4/3 * pi * 3.43e+11 km^3
= 1.372e+12/3 km^3 * pi
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q010. Summary Question 1: What basic principle do we apply to find the volume of a uniform cylinder of known dimensions?
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Your solution:
V = Area * Altitude
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q011. Summary Question 2: What basic principle do we apply to find the volume of a pyramid or a cone?
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Your solution:
V= 1/3 * Area * Altitude
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q012. Summary Question 3: What is the formula for the volume of a sphere?
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Your solution:
V= 4/3 pi * r^3
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3
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Question: `q013. Explain how you have organized your knowledge of the principles illustrated by the exercises in this assignment.
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Your solution:
These exercieses provided a review for geometry type equations.
confidence rating #$&*
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-critique: OK
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Self-critique rating #$&* 3"
&#Good work. See my notes and let me know if you have questions. &#
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