Mathematics, 14.05.2021 03:50, theuniicorntamer
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
Answers: 2
Mathematics, 22.06.2019 00:00, alyxxboothe
Can someone me with this? i’m not sure what to put for my equations.
Answers: 2
Mathematics, 22.06.2019 01:30, roxygirl8914
Identify all the cases where non-probability sampling is used when attempting to study the characteristics of a large city. studies on every subject in the population divide a population in groups and obtain a sample studies with a limited amount of time demonstrate existing traits in a population studies with the nth person selected
Answers: 2
Mathematics, 22.06.2019 01:30, Queenempress9380
A23 – year – old male buys 100/300/100 liability insurance, collision insurance with a $100 deductible, and comprehensive insurance with a $250 deductible? what is his total annual premium? (a) $1142.00 (b) $1765.45 (c) $1770.10 (d) $1785.25
Answers: 2
A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r...
Mathematics, 13.02.2021 22:30
History, 13.02.2021 22:30
Chemistry, 13.02.2021 22:30