The vase on the right can be described as a cylinder with a varying radius. Using a y-coordinate which starts at the top and then runs all the way down, the shape can be described by the radius in cm using the y-coordinate in cm: r(y)=|2+ y sin sinh y y =16 h = 16 – y %3D (with r, h and y in centimetres) (the function sinh() or hyperbolic sine, can be found in the math module) A wine decanter is used to let the wine 'breathe' a bit before drinking it and to avoid serving glasses with the sediment of an old wine. A student, who somehow hasn't got a crystal wine decanter, is inventive and decides to use this simple, cleaned vase as to decant the wine. How high will the surface of the wine be, measured from the bottom, when a bottle of wine of 0.750 litres (so 750 cm') is poured in this vase? Calculate the volume by summing the small volumes of the flat cylinders of with a height of Ay given by the volume of this disc: AV = Ar Ay Starting from the bottom of the phase. To check your program: a volume of 0.25 litres will fill it up to a height of h = 2.736 cm (rounded to three decimals). Give your answer h in cm for a complete bottle of 0.750 dm3, rounded off to 1 digit behind the decimal point.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.3CYU: Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a...
icon
Related questions
Question
y = 0
The vase on the right can be described as a
cylinder with a varying radius. Using a y-coordinate
which starts at the top and then runs all the way
down, the shape can be described by the radius in
cm using the y-coordinate in cm:
y
r(y)=|2+ y sin sinh
y= 16
h = 16 – y
(with 1, h and y in centimetres)
(the function sinh() or hyperbolic sine, can be found in the math module)
A wine decanter is used to let the wine breathe' a bit before drinking it and to avoid serving glasses
with the sediment of an old wine. A student, who somehow hasn’t got a crystal wine decanter, is
inventive and decides to use this simple, cleaned vase as to decant the wine.
How high will the surface of the wine be, measured from the bottom, when a bottle of wine of
0.750 litres (so 750 cm³) is poured in this vase? Calculate the volume by summing the small volumes
of the flat cylinders of with a height of Ay given by the volume of this disc: AV = ar´Ay Starting
from the bottom of the phase.
To check your program: a volume of 0.25 litres will fill it up to a height of h = 2.736 cm (rounded
to three decimals).
Give your answer h in cm for a complete bottle of 0.750 dm3, rounded off to 1 digit behind the
decimal point.
Transcribed Image Text:y = 0 The vase on the right can be described as a cylinder with a varying radius. Using a y-coordinate which starts at the top and then runs all the way down, the shape can be described by the radius in cm using the y-coordinate in cm: y r(y)=|2+ y sin sinh y= 16 h = 16 – y (with 1, h and y in centimetres) (the function sinh() or hyperbolic sine, can be found in the math module) A wine decanter is used to let the wine breathe' a bit before drinking it and to avoid serving glasses with the sediment of an old wine. A student, who somehow hasn’t got a crystal wine decanter, is inventive and decides to use this simple, cleaned vase as to decant the wine. How high will the surface of the wine be, measured from the bottom, when a bottle of wine of 0.750 litres (so 750 cm³) is poured in this vase? Calculate the volume by summing the small volumes of the flat cylinders of with a height of Ay given by the volume of this disc: AV = ar´Ay Starting from the bottom of the phase. To check your program: a volume of 0.25 litres will fill it up to a height of h = 2.736 cm (rounded to three decimals). Give your answer h in cm for a complete bottle of 0.750 dm3, rounded off to 1 digit behind the decimal point.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Height and distance
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning