# Precalc

According to an article by Thomas H. McMahon in the July 1975 issue of Scientific American, a tree’s height varies directly with the radius of the base of its trunk. He expressed this relation using the formula h = kr^2/3 where k is a constant, h is the tree’s height, and r is the tree’s radius.

Now suppose you own a stand of trees whose pulp can be used for making paper. The amount of wood pulp you can produce from a tree increases as the tree’s volume increases. The model approximates a tree without its branches as a right circular cone. The formula for the volume of the tree then becomes V = (1/3)πr^2h.

Substituting the formula for height of a tree in the formula for volume of a tree, the new formula for volume becomes ________________.

1. V=(1/3)πr(kr^2/3)
2. V=(1/3)πkr^3
3. V=(1/3)πkr^8/3
4. V=(1/3)πr^2

1. 👍
2. 👎
3. 👁
1. well, shucks -- just plug it in

(1/3)πr^2h = (1/3)πr^2*(kr^2/3) = (1/3)πk r^8/3

1. 👍
2. 👎

## Similar Questions

1. ### Pyhsical Science

Which of the following statements is true about scientific theories? A. Scientific theories become scientific laws. B. Scientific theories are never proven. C. Scientific theories become hypotheses. D. Scientific theories

2. ### English-Author's Purpose

5. Thomas Jefferson and Thomas Paine shared a similar purpose for writing. What was their purpose? (2 points) to express and reflect to persuade to inform to invite Thomas Jefferson wrote the Declaration of Independance and Thomas

3. ### history

Mark each item as a primary or secondary source. Please help! The diary of a pioneer woman A letter from James Oglethorpe to other trustees An article by a professor on life in early Georgia A magazine interview with celebrity A

4. ### History

Based on Common sense and the crisis what conclusion can be made about Thomas Paine? A : Thomas Paine accepted blame for causing the war B: Thomas Paine believed that colonist should remain loyal to the king C : Thomas Paine used

1. ### World geography

how do you do this question: Use a print news or online news source to find an article that illustrates concepts presented in this lesson. Choose an article reporting on a site where a conflict is likely to occur in the future.

2. ### English

Identify the choice that best describes the word "scientific" Scientific information like this does not always hold my attention. article adjective*** proper adjective adverb *** - My Answer

3. ### Plz help @Reed

July 10. We can assure the Public, that Spinning is so much encouraged among us, that a Lady in Town… has within about three Weeks become a very good Spinner, though she never spun a Thread in her Life before." What is the most

4. ### english

A problem shared in “Balancing Calories to Manage Weight” is that environmental factors promote overconsumption of calories and discourage calorie expenditure. How well does the article present a solution to the problem? a.

1. ### Science

I really need help with this.... Analyze, evaluate, and critique scientific explanations by using logical reasoning, and examining all sides of scientific evidence. Follow the directions on the slide to access the artcle. When you

2. ### Language Arts

After reading The Riddle of the Rosetta Stone: Clues to the Puzzle, a student made this statement. Thomas Young was clearly the most intelligent and determined researcher to try to decipher the writings on the Rosetta Stone. This

3. ### History

Almost from the beginning of his administration, Lincoln was pressured by abolitionists and radical Republicans to issue an Emancipation Proclamation. In principle, Lincoln approved, but he postponed action against slavery until

4. ### History @Reed

July 10. We can assure the Public, that Spinning is so much encouraged among us, that a Lady in Town… has within about three Weeks become a very good Spinner, though she never spun a Thread in her Life before." What is the most