1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SVETLANKA909090 [29]
2 years ago
6

A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material for the sides of the can costs

0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost.A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost.
Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
3 0

Answer:

Step-by-step explanation:

Cost = Area Cylinder body* cost * 0.03 cm^3 + Area of 2 lids*cost 0.06 of cm^3

Volume = 300 cm^3

Volume = Base *h  

Volume = pi * r^2 * h = 300

h = 300/(pi * r^2 )

Area material =  2*pi * r * h * 0.03 + 2 pi r^2 * 0.06

Area material = 0.06*pi * r * 300/(pi* r^2) + 0.12 * pi * r^2

dmaterial/dr = (-1)18 r^-2 + 0.12 pi * 2*r

dmaterial/dr = -18 r^-2 + 0.24 pi * r

The minimum occurs when the right side = 0

18/r^2 = 0.24 *pi r

18 = 0.24*pi * r^3

18/(0.24 * pi) = r^3

23.89 = r^3

cube root (23.89) = cuberoot(r^3)

r = 2.88 cm

h = 300/pi * r^2

h = 300/(3.14 * 2.88^2)

h = 11.52

This isn't much of a check but we can try it.

Volume = 3.14 * 2.88^2 * 11.52

Volume = 302.01 which considering all the rounding is pretty close.

Here's a graph that confirms my answer.

You might be interested in
Can someone plz help me
lubasha [3.4K]
I say it’s c it makes the most sense to me
3 0
2 years ago
Read 2 more answers
Get to me when can. THANKS!!!
lawyer [7]

Answer:56

Step-by-step explanation:

50 - 23 + 29 = 56

4 0
3 years ago
What is the area of 3 5\7ft by 2 6\7ft
erica [24]
3 5/7 x 2 6/7
= 3.71428564 x 2.8571428
= 10.6 ft^2 (3 sig. fig.)
4 0
3 years ago
The number x is reduced by 25% and then halved
Maksim231197 [3]
Since it says the number  x , this means x represents a number , reduced by 25 means that this is most likely half of 25 so whats half of 25%?

well 5 * 5 = 25 , so here is your answer  = 5

8 0
3 years ago
Karen has a cube that has a side length of 6 in. The net of the cube is shown.
nordsb [41]

Answer:

<h3>C. 180 square inches</h3>

Step-by-step explanation:

<h2>#carry on learning </h2><h2>#mark brainlits</h2>
6 0
2 years ago
Other questions:
  • ASAP A ​used-car dealership buys a car for ​$2600 and then sells it for ​$4600 What is the percent​ increase?
    6·2 answers
  • GIVING BRAINLIEST TO FIRST CORRECT ANSWER!
    13·2 answers
  • Which function is an odd function?
    9·1 answer
  • The number 2,874,992 how to round this number to the nearest 10,000
    5·2 answers
  • 20 POINTS!!! A an elevator in a mine is going up and down. The inequality statements compare the elevation of the elevator at th
    11·1 answer
  • Please I need help badly please no links or I will report you
    13·1 answer
  • What is a.missing term in each proportion 6:n = 8:12
    11·2 answers
  • Select all the points that are on the line through (0,5) and (2,8).
    14·1 answer
  • The perimeter of a rectangle is 40 in. Twice the length of the rectangle is 20 minus twice the width. What are the length and wi
    14·1 answer
  • Find x.<br> 11<br> 13<br> 13'<br> 21'
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!