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SIZIF [17.4K]
2 years ago
8

ddle" class="latex-formula">
​
Mathematics
2 answers:
BlackZzzverrR [31]2 years ago
8 0

Answer:

v=6

Step-by-step explanation:

2v is positive so keep it

then 2v=12

v=6

GrogVix [38]2 years ago
7 0
-12 - 2v = -12
_. _. _
-2. -2. -2

6 = v = 6
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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the
Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= \pi r^2h

According to the problem,

\pi r^2 h=25

\Rightarrow h=\frac{25}{\pi r^2}

The surface area of the base of the can is = \pi r^2

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× \pi r^2)

The lateral surface area of the can is = 2\pi rh

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× 2\pi rh)

                                                 =\$2.5 \pi r h

Total cost of metal is C= 2.00 \pi r^2+2.5 \pi r h

Putting h=\frac{25}{\pi r^2}

\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}

\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}

Differentiating with respect to r

C'=4\pi r- \frac{62.5}{ r^2}

Again differentiating with respect to r

C''=4\pi + \frac{125}{ r^3}

To find the minimize cost, we set C'=0

4\pi r- \frac{62.5}{ r^2}=0

\Rightarrow 4\pi r=\frac{62.5}{ r^2}

\Rightarrow  r^3=\frac{62.5}{ 4\pi}

⇒r=1.71

Now,

\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0

When r=1.71 cm, the metal cost will be minimum.

Therefore,

h=\frac{25}{\pi\times 1.71^2}

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0
2 years ago
If the current temperature is -11°F, what change in temperature would result in a final temperature of -27°F?
kirill [66]
-7 F I think is the answers
4 0
3 years ago
How many 1/3 cups of ice cream can you make from 1/7 cup
OlgaM077 [116]
Well first you have to make the denominators equal by finding a common denominator. in this case 21, but whatever you do to the bottom you do to the top. so 1/3 times 7/7 equals 7/21 and 1/7 times 3/3 equals 3/21.
 
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3 years ago
The formula for the area of a circle is a= 2Ïr^2. how does the value for a change when r increases
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6 0
3 years ago
Make C the subject of the formula:<br> F=9/5 C + 32​
Dafna1 [17]
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2)9/5C=F-32
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4 0
2 years ago
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