A wine barrel is designed with interior profile given by rotating the graph of the function f(x) = 1 x² + 2x + 40 for x E [0, 80], where h = 80 is the height of the barrel measured in centimeter and the base of the barrel is at x = 0. (a) What is the diameter of the base of the barrel? What is the diameter of the surface at the top? Show your working. (b) Find the volume of the wine barrel, showing your working. (c) The empty barrel is later converted into a table, where a cut-to-size sheet of glass is put on top of it. What is the surface area of the glass top?
A wine barrel is designed with interior profile given by rotating the graph of the function f(x) = 1 x² + 2x + 40 for x E [0, 80], where h = 80 is the height of the barrel measured in centimeter and the base of the barrel is at x = 0. (a) What is the diameter of the base of the barrel? What is the diameter of the surface at the top? Show your working. (b) Find the volume of the wine barrel, showing your working. (c) The empty barrel is later converted into a table, where a cut-to-size sheet of glass is put on top of it. What is the surface area of the glass top?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
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![4.
A wine barrel is designed with interior profile given by rotating the graph of
1
x² + 2x + 40 for x E [0, 80], where h = 80 is the height of the
40
the function f(x) = \,
barrel measured in centimeter and the base of the barrel is at x = 0.
(a) What is the diameter of the base of the barrel?
What is the diameter of the surface at the top? Show your working.
(b) Find the volume of the wine barrel, showing your working.
(c) The empty barrel is later converted into a table, where a cut-to-size sheet of glass
is put on top of it. What is the surface area of the glass top?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdea9377e-54a6-4732-b70e-605d87d37d77%2F15fb24de-7905-4e33-96eb-b9aff286e619%2F8wokxec_processed.png&w=3840&q=75)
Transcribed Image Text:4.
A wine barrel is designed with interior profile given by rotating the graph of
1
x² + 2x + 40 for x E [0, 80], where h = 80 is the height of the
40
the function f(x) = \,
barrel measured in centimeter and the base of the barrel is at x = 0.
(a) What is the diameter of the base of the barrel?
What is the diameter of the surface at the top? Show your working.
(b) Find the volume of the wine barrel, showing your working.
(c) The empty barrel is later converted into a table, where a cut-to-size sheet of glass
is put on top of it. What is the surface area of the glass top?
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