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2 years ago

Ayo i miss my ex :( pls tell me im not the only one

Advanced Placement (AP)

2 answers:

koban [17]2 years ago

6 0

Answer:

we have all been there

(i still cry in the bathroom) XD

kumpel [21]2 years ago

4 0

Mhm ya u da only one

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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

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2 years ago

You are writing a literature a NALYSIS ESS a Y on Shakespeare Macbeth which of following is a reliable source of information on

Elena-2011 [213]

in my opinion, I wouldn't use any of them, it's only best if you use the book itself. Both the website and the college paper are formed on people's opinions. If this was something that was given to you as a test question, your best bet would be the college paper. The college paper would be filled with Shakespeare's theme and symbolism and some of these themes that he uses are usually not easy to find, especially is your reading the modern version.

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3 years ago

WILL GIVE BRAINIEST!!!

alisha [4.7K]

I would say the attorney is right?? Not sure but that’s my guess

4 0

2 years ago

Read 2 more answers

Ayoo wuzgood everybody just wanted to say hi

Sever21 [200]

Answer:

wassup