Show that the volumes of a cylinder and of a rectangular box can be written in the form V = Ah, identifying A in each case. (Note that A, sometimes called the "footprint" of the object, can have any shape and that the height can, in general, be replaced by the average thickness of the object.

Show that the volumes of a cylinder and of a rectangular box can be written in the form V = Ah, identifying A in each case. (Note that A, sometimes called the "footprint" of the object, can have any shape and that the height can, in general, be replaced by the average thickness of the object.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Equations, Inequalities, And Mathematical Modeling

Section: Chapter Questions

Problem 21T: A basketball has a volume of about 455.9 cubic inches. Find the radius of the basketball (accurate...

See similar textbooks

Related questions

Q: !!! MULTIPLE CHOICE QUESTION g(x) = 5√√x State the transformation from the parent function f(x)=√x…

Q: dy 5. If y=x² - 4x and x = √2+² +1; find dt when t = √2.

Q: simplify this expresion -12 divided by3 . (-8+(-4)^2 -6)+2

Q: (2) Solve the following equations for x giving all solutions in the domain. (a) 2 sin(x) − 1 = 0, x…

Q: Can you expalin what type of equation or math/ chemistry application this belongs to so I can expand…

Q: Could you please help me solve this equation by applying the zero product property 225n^2-729=0

Q: 16. Solve the problems below. -3(4r -8) = -36 24 = 6(-x -3) 75 = 3(-6n -5)

Q: B с a b 11) In the above triangle, if A = 52.1°, C = 90°, and c = 27.6, find a and b (the length of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2 x² + 4x + 5₁ X 2 -1 ≤ x ≤ 2 2 f(x)= What is domain 12 What is tange! 3 Increasing interval @…

Q: 4. Josh spent 75 cents on gumdrops. Write 75 cents as dollars.

Q: What are the domain and range of the function? f(2)=3√x-3 Domain: (3, 00) Range: (0, ∞) Domain: [3,…

Q: A rectangular piece of metal is 15 in longer than it is wide squares with sides 3 in long are cut…

Q: How would I solve this system using elimination and back-substitution? 2x + y −z = 1 3x −z = −1 4x…

A: We have to solve system of linear equation by elimination

Q: 101. Perform each division. USE LONG DIVISION ONLY. 6m³+7m²-4m+2 3m+2

A: Topic = Algebra

Q: trying

A: Given : 12x = 200

Q: 2)Use this function to solve the next questions. f(x)=x4-3x3-5x2+21x+22 a) Use the Rational Roots…

A: NOTE: Refresh your page if you can't see any equations. . here constant term and the leading…

Q: 134080011 2 Which number is equivalent to A 2 B 9 C D 81 729 34 323

Q: State the cardinality of the set. The set of subsets of {2, 3, 7, 9, 13} 32 c 25 ℵ0 none of…

Q: 7. Mai's class is designing a garden with two levels and this general shape. o The garden should…

Q: B) Find all the points on the curve y=tan x, -n/2<x</2, where the tangent line is parallel to the…

Q: Sets C and D are subsets of the universal set U. These sets are defined as follows. U=(2, 3, 4, 5,…

Q: Find an equation for the line below. -6 -2

Q: 4) 8y-3y + 1 ≤ 29 5) 3x + 12x + 7 6) -7y - 4 4-1/2x

A: 4) 8y -3y +1 < 29 here eqalize equation 5y + 1 = 29 5y = 28 y = 28/5 here y < 28/5 5) 3x+1…

Q: 2Y + 3/4X=Z/3

A: To solve for x, y, and z.2y+34x=z3

Q: xy=nza If the values of n,z, and a are held constant, but the value of y is halved, what happens to…

Q: Please don't copy Using ONLY the field and order axioms, prove that if x < y < 0 then 1/y < 1/x <…

Q: A young man is the beneficiary of a trust fund established for him 21 years ago at his birth. If the…

A: Solution: P = $ 8000 r = 8% Using formula A = P1+rnnt

Q: if i multiply an number by 3 and ten subtract 4 the result is the same as twice the number. find the…

Q: 347. y = (sin 2x) 4x

A: We have to find the derivative of question 347 by using logarithmic function

Q: g(x) = (x-4)² State the transformation from the parent functi f(x) = x² Shift right 4 Shift down 4…

A: Topic:- function Definition:- to shift a function by a unit horizontally When the function…

Q: At the end of the summer, a group of friends meet to talk about the holidays just ended: 63% of them…

Q: 2. H -1. Use the matrix formed by {₁, 2, V3} to 5 determine whether the {₁, 2, 3} spans R3. Explain…

Q: In how many different ways can a 10-question true-false test be answered if: a. Every question must…

A: In how many different ways can a 10-question true-false test be answered if: a. Every question must…

Q: 5&1/2 of 210=

Q: Exercises = 4. 421 * 0.003 = 61.3 (correct result) 1. 3.9 * 78.9= 2. 32.01 +96.321 +36.98 +0.00023…

Q: Question is in the photo below

A: Given, To write $3.45 in cents

Q: Describe how the graph of y= x2 is transformed by the equation y = (x - 5)2 -2. That is,…

A: Describe how the graph of y= x2 is transformed by the equation y = (x - 5)2 -2. That is,…

Q: Decide if the statement is true or false. 4£{1,4,7,10}

Q: 23 ×44 यप

A: Given Equation: 23×44=?

Q: A group of students perform a series of dilutions and produce a calibration curve with the general…

A: Given y=ax+b Point 0.33, 2.86 and intercept = -0.31

Q: Which equation could represent the graph shown below? -10 2 YA 5 NO 3 CAS IN 2 1 F -3 T -5 6 8 10 X

A: The graph is given as , find the equation of the graph.

Q: division of a corporation produces "Personal Income Tax" diaries. Each diary sells for $8. The…

Q: Carlos invested $7,000 in a money market mutual fund that pays interest on a daily basis. The…

Q: 6. Leandro plans to start an investment fund. There are two options. In Option A, he is required to…

Q: h(t) if h(x) = 9x9 - 4x4 + 3x - 2

A: Given:- hx=9x9-4x4+3x-2 To find:- ht

Q: 134080011 2 Which number is equivalent to A 2 B 9 C D 81 729 34 3²

A: Using Property of exponent: am/an = a(m-n) So, 34/32 = 3(4-2)= 32

Q: six friends all use $2-off coupons to buy themselves movie tickets. they spend a total of $42. what…

Q: 14×__=196

A: Given Equation: 14× ?=196

Q: am having trouble solving rational equation and checking the solution set. What it means when a…

Q: Adam can solve 15 fraction problems every 18 minutes. How many problems can he solve in 6 minutes?

Question

(b) Show that the volumes of a cylinder and of a rectangular box can be written in the form V = Ah, identifying A in each case. (Note that A, sometimes called the "footprint" of the object, can have any shape and that the height can, in general, be replaced by the average thickness of the object.

Expert Solution