Who should I make an edit of???? My edits are on my tiktoks ynw.

Surface Area of a can is 517.8 cm^2. Maximize the volume of this can using the measured surface area.

mafiozo [28]

Answer:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

Explanation:

Given

Object: Can (Cylinder)

$Surface\ Area = 517.8cm^2$

Required

Maximize the volume

The surface area is:

$S.A = 2\pi r^2 + 2\pi rh$

Substitute 517.8 for S.A

$517.8 = 2\pi r^2 + 2\pi rh$

Divide through by 2

$258.9 = \pi r^2 + \pi rh$

Factorize:

$258.9 = \pi r(r + h)$

Divide through by $\pi r$

$\frac{258.9}{\pi r} = r + h$

Make h the subject

$h = \frac{258.9}{\pi r} - r$ --- (1)

Volume (V) is calculated as:

$V = \pi r^2h$

Substitute (1) for h

$V = \pi r^2(\frac{258.9}{\pi r} - r)$

Open Bracket

$V = 258.9r - \pi r^3$

Differentiate V

$V' = 258.9 - 3\pi r^2$

Set V' to 0

$0 = 258.9 - 3\pi r^2$

Collect Like Terms

$3\pi r^2 = 258.9$

Divide through by 3

$\pi r^2 = 86.3$

Divide through by $\pi$

$r^2 = \frac{86.3}{\pi}$

$r^2 = \frac{86.3*7}{22}$

$r^2 = \frac{604.1}{22}$

Take square root of both sides

$r = \sqrt{\frac{604.1}{22}$

$r = 5.24$

Recall that:

$h = \frac{258.9}{\pi r} - r$

Substitute 5.24 for r

$h = \frac{258.9}{\pi * 5.24} - 5.24$

$h = \frac{258.9*7}{22 * 5.24} - 5.24$

$h = \frac{1812.3}{115.28} - 5.24$

$h = 15.72 - 5.24$

$h = 10.48$

Hence, the dimension that maximize the volume is:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

7 0

2 years ago

-6x+5y=8 2x-4y=2 i need a x,y answer and i need some steps too

Advocard [28]

Answer:

I. x = -3

II. y = -2

Explanation:

Given the following algebraic equation;

$-6x + 5y = 8$ .........equation 1

$2x - 4y = 2$ ..........equation 2

We would solve the algebraic equation using the substitution method

From equation 1;

$5y = 8 + 6x$

$y = \frac {8 + 6x}{5}$ .....equation 3

Substituting eqn 3 into eqn 2, we have;

$2x - 4(\frac {8 + 6x}{5}) = 2$

$2x - \frac{32 + 24x}{5} = 2$

Multiplying all through by 5

$10x - 32 - 24x = 10$

Rearranging the equation, we have:

$10x - 24x = 10 + 32$

$-14x = 42$

$x = \frac {-42}{14}$

x = -3

Next we find the value of y;

From eqn 3;

$y = \frac {8 + 6x}{5}$

Substituting the value of "x" into the equation, we have;

$y = \frac {8 + 6*(-3)}{5}$

$y = \frac {8 - 18}{5}$

$y = \frac {-10}{5}$

y = -2

8 0

2 years ago

PLEASE HELP ME!

ale4655 [162]

I believe it was negative. When the colonist arrived from Spain to Latin America, many Natives died and were killed, and I do not think that is such a great thing. I believe that the discovery of Latin America did contribute to many new discoveries such as foods and the columbian exchange that changed the diets of Europeans which made people more healthy and live longer. However, all these discoveries of animals, and foods lead to famine, death, and disease among the Native Americans hence also leading to slavery due to the many deaths of Natives, the colonist needed workers so, slavery then happened.

4 0

2 years ago

Why did European aristocrats push to make it harder to gain a noble title?

svp [43]

A I think not really sure

8 0

3 years ago

PLEASE HELP FAST I AM BEING TIMED

EastWind [94]

In the fourth paragraph, the author mentions what he "gained from the dialogue” and what he "got from Sheridan” (lines 29–30) primarily to <u>illustrate his developing arguments against slavery and validate his beliefs</u>

Although your question is incomplete, I made use of the context clues to come to a conclusion of the most plausible meaning based on the words shown and this was to validate his beliefs about the issue of slavery.

<h3>What is a Narration?</h3>

This refers to the storytelling that is done with the aid of a narrator and this helps to advance the plot.

Hence, we can see that In the fourth paragraph, the author mentions what he "gained from the dialogue” and what he "got from Sheridan” (lines 29–30) primarily to <u>illustrate his developing arguments against slavery and validate his beliefs</u>

Although your question is incomplete, I made use of the context clues to come to a conclusion of the most plausible meaning based on the words shown and this was to validate his beliefs about the issue of slavery.

Who should I make an edit of???? My edits are on my tiktoks ynw._milove2x