#$&*

course Mth 151

9/108:58 am

002. Volumes

*********************************************

Question: `q001. There are 14 questions in this document.

What is the volume of a rectangular solid whose dimensions are exactly 3 meters by 5 meters by 7 meters?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: A = L * W = 7 * 5 = 35 V = A * h V = 35m2 * 3 = 105 cm3

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q002. What is the volume of a rectangular solid whose base area is 48 square meters and whose altitude is 2 meters?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: V = A * h V=48m2 * 2 = 96m3

confidence rating #$&*:3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q003. What is the volume of a uniform cylinder whose base area is 20 square meters and whose altitude is 40 meters?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: V = A * h = 20 m2 * 40 m = 800 m3

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q004. What is the volume of a uniform cylinder whose base has radius 5 cm and whose altitude is 30 cm?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: A = pi * r2 A = 3.1416 * 5 cm2 = pi * 25 cm 2

V = A * h = 25 pi cm2 * 30 cm = 750 pi cm3.

confidence rating #$&*: 2

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&

Self-critique (if necessary): I too, like the student who questioned the answer, have been instructed in the past to finish the answer by multiplying by pi.

------------------------------------------------

Self-critique Rating:2

*********************************************

Question: `q005. Estimate the dimensions of a metal can containing food. What is its volume, as indicated by your estimates?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: Volume of a cylinder = h * pi * r2

Dimensions of can = 3 in diameter (1.5” radius)

5” height

V=h*pi*r2

V=5 * 3.1416 * 1.52 =

confidence rating #$&*:1

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&

Self-critique (if necessary): This is unfamiliar to me. I have only used the formula for a cylinder before that is Volume of a cylinder = h * pi * r2

------------------------------------------------

Self-critique Rating: 2

*********************************************

Question: `q006. What is the volume of a pyramid whose base area is 50 square cm and whose altitude is 60 cm?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: is V = 1/3 * A * h 1/3 * 50 cm2 * 60 = 1000 cm3

confidence rating #$&*:3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q007. What is the volume of a cone whose base area is 20 square meters and whose altitude is 9 meters?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: V = 1/3 A * h = 1/3 * 20 m2 * 9 m = 60 m3

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q008. What is a volume of a sphere whose radius is 4 meters?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: V = 4/3 * pi * r3 = V = 4/3 pi * 4 m3 = 4/3 pi * 43 m3 = 256/3 pi m3.

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q009. What is the volume of a planet whose diameter is 14,000 km?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: V = 4/3 pi r3 = 4/3 pi * 7,000 km3 = 4/3 pi * 343,000,000,000 km3= 1,372,000,000,000 / 3 * pi km3.

confidence rating #$&*: 2

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q010. Summary Question 1: What basic principle do we apply to find the volume of a uniform cylinder of known dimensions?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: V = A * h

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q011. Summary Question 2: What basic principle do we apply to find the volume of a pyramid or a cone?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: V = 1/3 A * h,

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q012. Summary Question 3: What is the formula for the volume of a sphere?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: V = 4/3 pi r^3,

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

*********************************************

Question: `q013. Explain how you have organized your knowledge of the principles illustrated by the exercises in this assignment.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: I organized my knowledge of the principles illustrated in this assignment by creating a formula sheet and applying the rules for the formulas.

*********************************************

Question: `q014. A cone has an altitude of 14 centimeters, above a circular base whose radius is 5 centimeters. What is the volume of the cone?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: V = 1/3 * pi * r ^2 * h 1/3 * 3.14 * 5 cm^2 * 14 = 366.33cm^3

"

@& Instructions request that you insert your responses into a copy of the original web document. You appear to have eliminated some of the text from the original document.

The original text includes certain strings of characters that allow me to efficiently isolate your insertions from the rest of the text, allowing me to review much more student work, much more accurately, than would otherwise be possible.

These and other characters are also used as triggers in collecting databases of student responses, and in some instances the lack of these characters can cause your document not to post at all.

If so requested below, you should resubmit this document, and insert your responses into a complete, unaltered copy of the original document. If you are not specifically requested to do so on this document, it won't be necessary, but you should follow this practice on all future submissions.

It is also possible that you have submitted other documents in which you have removed information from the original, rather than inserting your responses into an unaltered copy of the document. If this is the case, you should resubmit those documents, with your responses copied into complete copies of the originals.

*@

@& 'I haven't been able to review this document as thoroughly as usual, but from what can easily locate you appear to understand.

You are welcome, if you wish, to insert your answers into a complete copy of the document and resubmit it, but if you understand everything this won't be necessary.*@