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
Andrew [12]
3 years ago
12

Find the dimensions of a closed right circular cylindrical can of smallest surface area whose volume is 128pi cm^3

Mathematics
1 answer:
Ratling [72]3 years ago
4 0
The surface area of a cylindrical can is equal to the sum of the area of two circles and the body of the cylinder: 2πr2 + 2πrh. volume is equal to π<span>r2h.

V = </span>π<span>r2h = 128 pi
r2h = 128 
h = 128/r2

A = </span><span>2πr2 + 2πrh
</span>A = 2πr2 + 2πr*(<span>128/r2)
</span>A = 2πr2 + 256 <span>π / r
</span><span>
the optimum dimensions is determined by taking the first derivative and equating to zero.

dA = 4 </span>πr - 256 <span>π /r2 = 0
r = 4 cm
h = 8 cm
</span><span>

</span>
You might be interested in
Which of the following best describes the graph below
vfiekz [6]

Answer:

It is a one-to-one function. C is the correct answer

Step-by-step explanation:

Since no x values are repeated on the Y axis, it is a one-to-one function. Option C is correct

3 0
2 years ago
What is the expected average of rolling a single die
larisa86 [58]

Answer:

Mathwords: Expected Value. A quantity equal to the average result of an experiment after a large number of trials. For example, if a fair 6-sided die is rolled, the expected value of the number rolled is 3.5. This is a correct interpretation even though it is impossible to roll a 3.5 on a 6-sided die.

Step-by-step explanation:

hope it helps

5 0
3 years ago
Read 2 more answers
Answer if you have a big brain 96 POINTS
nordsb [41]

Answer:

1) 2x+7

2) -3x+11

3) 0.75x-2

4) -2x+0

5) -1.5x+2

6) -4x+16

Step-by-step explanation:

1) y = mx + c

m = 2 when x=1 , y=9

9 = 2(1)+c

c = 7

y = 2x + 7

2) m = -3

When x=4, y= -1

-1 = -3(4) + c

c = -1+12 = 11

y = -3x + 11

3) m = 0.75

When x= -4, y= -5

-5 = 0.75(-4) + c

-5 = -3 + c

c = -2

y = 0.75x - 2

4) m = (y2-y1)/(x2-x1)

m = (2-(-6))/(-1-3) = 8/-4 = -2

y = -2x + c

When x= -1, y= 2

2 = -2(-1) + c

2 = 2 + c

c = 0

y = -2x + 0

5) m = (-10-(-4))/(8-4)

m = (-10+4)/4 = -6/4 = -1.5

y = -1.5x + c

When x= 4, y= -4

-4 = -1.5(4) + c

-4 = -6 + c

c = 2

y = -1.5x + 2

6) m = (-4-4)/(5-3) = -8/2 = -4

When x= 3, y= 4

4 = -4(3) + c

4 = -12 + c

c = 16

y = -4x + 16

8 0
3 years ago
Read 2 more answers
Calculate the scale factor of ABC to DEF. Enter answer as a whole number or as a fraction in lowest terms, using the slash mark
bazaltina [42]

Answer:

3

Step-by-step explanation:

because 3x3= 9 and 4x3=12 and 5x3=15

5 0
2 years ago
If x is a positive number greater than 10, what is always true about the solution to the problem to -3 + x ?​
alexandr402 [8]

Answer:

The equation answer will always be positive

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Round 656.692169912 to 1 decimal place. I am so confused.
    7·2 answers
  • Hola, me podrían ayudar a simplificar está ecuación?<br> 5x^2-7x(3x-8)+3x^2-8x+3
    7·1 answer
  • The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the probabili
    12·1 answer
  • A biologist recorded a count of 337 bacteria present in a culture after 5 minutes and 699 bacteria present after 15 minutes.
    15·1 answer
  • What is the length of segment FG?
    10·2 answers
  • A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-
    10·2 answers
  • A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order
    13·2 answers
  • Cathie is making a dress with a sash. The sash needs to be 72.1 inches long, but Cathie's measuring tape is only in centimeters.
    15·1 answer
  • How many solutions does this nonlinear system of equations have?
    7·1 answer
  • Erin Thompson agreed to purchase a house for $97,900. Hoover Mortgage is willing to lend her
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!