B5

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course mth 158

9/5 3

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:

5m * 7m= 35m^2

35* 3m^3=105m^3

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2

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ok

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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:

48m^2*2m= 96m^3

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3

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ok

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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:

20m^2*40m= 800m^3

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3

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ok

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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:

pi (5cm)^2= 25 pi cm^2

25 pi cm^2* 30cm= 750 pi cm^3

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3

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ok

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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:

pi * (3/2 in)^2 = 9 pi / 4 in^2 and its volume is

(9 pi / 4) in^2 * 5 in = 45 pi / 4 in^3.

35in^3

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2

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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:

1/3 * 50 cm^2 * 60 cm = 1000 cm^3

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2

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ok

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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:

1/3 * 20 m^2 * 9 m = 60 m^3.

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3

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Self-critique Rating:

ok

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

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Your solution:

4/3 pi * (4 m)^3 = 4/3 pi * 4^3 m^3 = 256/3 pi m^3

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2

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ok

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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:

4/3 pi * (7,000 km)^3 = 4/3 pi * 343,000,000,000 km^3 = 1,372,000,000,000 / 3 * pi km^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:

The formula that we use is V=A*h to get the answer.

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2

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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:

We use the formula V=1/3 A*h to get the answer.

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2

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ok

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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, where r is the radius of the sphere

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3

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ok

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

Just took the questions step by step and added onto what I was learning for the harder problems at the end.

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