![torrejes241](/avatars/17257.jpg)
torrejes241
14.05.2021 •
Mathematics
A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the radius of the top of the can and let h be the height. The surface area of the cylinder, A, is A=2πr2+2πrh (it's two circles for the top and bottom plus a rolled up rectangle for the side).
A round cylinder with a circle top and base with radius r and a height of h
Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+8πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined?
Part b: Continue to assume that the height of your cylinder is 4 inches. Write the radius r as a function of A. This is the inverse function to A(r), i.e to turn A as a function of r into. r as a function of A.
r(A)=
Preview Change entry mode
Hints:
To calculate an inverse function, you need to solve for r. Here you would start with A=2πr2+8πr. This equation is the same as 2πr2+8πr−A=0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula.
If you want to type in 3π+1x+1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is more information in the Introduction to Mobius unit.
Part c: If the surface area is 325 square inches, then what is the rardius r? In other words, evaluate r(325). Round your answer to 2 decimal places.
Hint: To compute a numeric square root such as 17.3−−−−√, you could
Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3)
Use a browser to connect to the Internet and type in sqrt(17.3) into a search field
Use a calculator
Solved
Show answers
More tips
- P Philosophy How to Develop Extrasensory Abilities?...
- O Other Everything You Need to Know About Kudyabliks...
- C Computers and Internet The Twitter Phenomenon: What it is and How to Use it...
- C Computers and Internet How to Choose a Laptop: Expert Guide and Tips...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
Answers on questions: Mathematics
- M Mathematics Simplify the expression. What is (-8.6)^0...
- M Mathematics Find the value of the variables in the image above...
- M Mathematics veronica has 5 more than double the number of stuffed animals than her friend mariposa. together they have 32 stuffed animals...
- M Mathematics Someone asked for more pics of me so there nd the last one is my bestfriend...
- M Mathematics Point q′ prime is the image of q (−7,2) under a translation by 8 units to the right and 2 units up....
- M Mathematics Please answer I will mark as PLEASE ANSWER THEM CORRECTLY...
- M Mathematics Please help asap with this ill mark you brainliest...
- M Mathematics Okay I need to finish this now because my teacher is marking me absent if I don t but here is the question/assignment. Using COMPLETE SENTENCES give me an example of a situation where...
Ответ:
i speak english sorry
Step-by-step explanation: