Question about Casio FX-115ES Scientific Calculator

__Maths Homework__

r

Problem: an estimator at a softdrink company must investigate what dimensions (height and radius) a 375mm soft drink can should be to minimize the total surface area of the can. Info provided is:

H

*Surface area of can is= 2πrsq + 2πrh

*volume of the can is=TTrsqh

Q3) it is difficult to work with two variables (h and r) so find the expression for the surface area in terms of the radius (r). to do so

a) Re arrange the formula for volume so that h is the subject? b) Substitute this value for h into the formula for surface area, and simplify where possible. (Note: all steps in your working must be shown.)

Q4) a) using your graph, determine the approximate dimensions (height and radius) of the can with the least surface area?

Q5) Wikepedia suggests that 1.1 million cans of coke are sold each day, (just cans no other products) if they manufactured cans that were optimised for 375ml, how much would they save, considering current practice , each year if the cost of aluminium sheet is $34.60Msquared

Sorry but after I finished the post I noticed that the questuin is for the Casio FX0115ES while I decribed the calculator part for the TI84PLUS. However, the procedure is valid for any calculator that can generate a table from a given function. You should be able to implement it on the Casio. Just read the part that tells you how to create a table from a function: You should look at MODE TABLE

V=Pi*(r^2)*h

which gives h=V/(Pi*r^2)

Take this expression for h and substitute in the expression for the total surface. This gives (after simplifications)

S=2*Pi*r^2 +2*V/r

Open the table setup editor (Read your manual for the Casio)

Press [2nd][WINDOW] to access the Tabble setup

Set table start =2

Set DeltaTbl=0.05 (You can take a smaller value if you want)

Set Indepnt to Auto

Set Depend to Auto

Press [2nd][QUIT] to return to main calculator screen

Open the [Y=] editor

Enter the expression for the surface above as Y1=, using X as variable Y1= 2*Pi*X^2 +2*375/X

Press [2nd][GRAPH] to create the (table)

This part is not calculator-specific

Display the table and, scroll down examining the Y1 values.

Find the value of X (ie r) where the Y1 value is the smallest.

The value of X (r) you read to the left of of the minimum value of Y1 is in centimeters (because 375 mL= 375 cm^3)

The r-value that minimizes the surface should be around 3.90cm

Substitute this value for r in the expression for h above, calculate the value of h.

Posted on May 13, 2010

Please give me an answer about learning outcomes for area and volume

Posted on May 22, 2013

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Posted on Jan 02, 2017

It sounds like you are trying to determine the surface area of a cylinder.

The area of the top and the bottom of the cylinder (which are circles) are pi x r ^ 2. Since there are two of them, we have to multiply this answer by 2.

The surface area of the side is going to be the circumference of the circle times the height. The circumference is 2 x pi x r and the height is 15 inches.

To get the total surface area, we have to add these amounts together.

Good luck,

Paul

The area of the top and the bottom of the cylinder (which are circles) are pi x r ^ 2. Since there are two of them, we have to multiply this answer by 2.

The surface area of the side is going to be the circumference of the circle times the height. The circumference is 2 x pi x r and the height is 15 inches.

To get the total surface area, we have to add these amounts together.

Good luck,

Paul

May 13, 2017 | Homework

People perceive maths as a difficult course with tough numbers to derive.

Jan 04, 2017 | Homework

if you did maths in primary school you would know that you need two dimensions to get square meters or surface area

so any number of lengths X breadths will give you 712 square meters

I just got a number squared to give you that area by finding the square root of your figure and that is 26.6833 meters

so an area of 26.6833 meters X 26.6833 meters will give yo an area of 712 square meters

not a really well thought out question with plenty of detail missing

so any number of lengths X breadths will give you 712 square meters

I just got a number squared to give you that area by finding the square root of your figure and that is 26.6833 meters

so an area of 26.6833 meters X 26.6833 meters will give yo an area of 712 square meters

not a really well thought out question with plenty of detail missing

Dec 10, 2016 | Office Equipment & Supplies

learn to do maths properly or learn to use a calculator

with out any of the correct information in your statement what sort of an answer did you expect

with out any of the correct information in your statement what sort of an answer did you expect

Nov 09, 2015 | Office Equipment & Supplies

The product of 107 and 6 = 642

Product of two numbers means multiply them.

Product of two numbers means multiply them.

Oct 29, 2013 | Scholastic Teaching Resources...

If that is a **right rectangular prism**

Volume =14*12*3 c.f.

For the area here is the formula.

Total area of right rectangular prism =**2*A_b +P_b*h**

**A_b**= area of base (take 14*12 feet squares)

**P_b** is perimeter of base (14+12)*2 =52 ft.

**h** is the height (3 ft)

Lateral area =P_b*h=52*3 feet square

Add all areas.

Volume =14*12*3 c.f.

For the area here is the formula.

Total area of right rectangular prism =

Lateral area =P_b*h=52*3 feet square

Add all areas.

Mar 05, 2013 | SoftMath Algebrator - Algebra Homework...

I'm not good at explaining how to work out maths but I find this website to be a great help with anything I get stuck on, particularly fractions. This will help you to understand the question & work out the answer. Good luck!!

http://www.helpwithfractions.com/math-homework-helper/least-common-denominator/

http://www.helpwithfractions.com/math-homework-helper/least-common-denominator/

Feb 18, 2013 | Computers & Internet

please send me dsc maths previous question paper.. my mailid is

fathima.begum923@gmail.com

fathima.begum923@gmail.com

Sep 17, 2011 | Audio Players & Recorders

We are not here to do your homework or to have our maths ability tested. This is a problem set for YOU to solve not us.

This is as good as cheating, to pass our answer off as yours. If you don't understand simple division get back to your teacher and ask for help. Cheating is not the way to get hired in the future.

Thanks for using FIXYA I don't expect a rating so i wont ask for one!~

This is as good as cheating, to pass our answer off as yours. If you don't understand simple division get back to your teacher and ask for help. Cheating is not the way to get hired in the future.

Thanks for using FIXYA I don't expect a rating so i wont ask for one!~

May 21, 2010 | Vivendi Excel@ Mathematics Study Skills...

WE = 1

WILL = 2

NOT = 3

DO = 4

YOUR = 5

HOMEWORK = 6

FOR = 7

YOU = 8

CHEATING = (WE + WILL - NOT / DO / YOUR / HOMEWORK * FOR * YOU)

WILL = 2

NOT = 3

DO = 4

YOUR = 5

HOMEWORK = 6

FOR = 7

YOU = 8

CHEATING = (WE + WILL - NOT / DO / YOUR / HOMEWORK * FOR * YOU)

Sep 10, 2009 | The Learning Company Achieve! Math &...

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Shouldn't you try to solve the problem with pen and paper? What will you learn if somebody else does your homework for you? Who gets the credits?. Read your lesson about minimization and get to work.

find the volume and the total surface area of a regular tetrahedron in which the measures of one edge is 10m

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