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)=
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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, 21.06.2019 22:30
Abag contains 10 white golf balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio of white to striped gold balls to remain the same. how many of each should he add?
Answers: 2
A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r...
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