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amid [387]
3 years ago
9

Find the dimensions of a right-circular cylinder that is open on the top and closed on the bottom, so that the can holds 1 liter

and uses the least amount of material? ...?
Mathematics
1 answer:
anzhelika [568]3 years ago
5 0
Volume of cylinder:
V = πr²h
The desired volume is 1 Liter = 1000 cm³
1000 = πr²h
h = 1000/πr²

Surface area of cylinder:
S.A = 2πr² + 2πr²h
We substitute the value of h from the first equation:
S.A = 2πr² + 2πr(1/πr²)
S.A = 2πr² + 2/r
Now, to minimize surface area, we differentiate the expression with respect to r and equate to 0.
0 = 4πr - 1000/r²
4πr³ - 1000 = 0
r = 4.3 cm
h = 17.2 cm
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pychu [463]

Answer:

3 cases

Step-by-step explanation:

45 - 27 = 18

18 ÷ 5 = 3

Tax is probably like $1 so It would add up to 18.

8 0
3 years ago
Please answer this correctly without making mistakes
maksim [4K]

Answer:

3

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Step-by-step explanation:

3 0
2 years ago
When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, should the signs in the binom
gtnhenbr [62]

When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, the signs in the binomials should be both positive

<h3>What are quadratic equations?</h3>

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

<h3>How to determine the true statement?</h3>

The form of the polynomial is given as:

ax2 + bx + c

Where a, b, and c are positive real numbers.

Since a, b, and c are positive real numbers. then the form of the expansion would be:

ax2 + bx + c = (dx + e)(fx + g)

<h3>Example to verify the claim</h3>

Take for instance, we have the following quadratic equation

x^2 + 6x +  8

Expand the equation

x^2 + 6x +  8 = x^2 + 4x + 2x +  8

Factorize the equation

x^2 + 6x +  8 = (x + 2)(x + 4)


Hence, the signs in the binomials should be both positive

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

5 0
1 year ago
OPEN ENDED QUESTION
posledela

Answer: I hope this helps :)

Substitution:  45+15(6-1)

Simplify:  120

Step-by-step explanation:

Calculate within parenthases (6-1) =5    =45+15(5)

Multiply left to right 15(5)=75      =45+75

Add leftg to right 45+75=120

Answer = 120

4 0
3 years ago
Can I have some help on this question Please.
mote1985 [20]

Answer:

A = 365

B = 700

C = 76.5

Step-by-step explanation:

8 0
3 years ago
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