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puteri [66]
3 years ago
6

Name one right of a family

Advanced Placement (AP)
2 answers:
zloy xaker [14]3 years ago
6 0
The right to freely choose a state of life
Novay_Z [31]3 years ago
4 0
The right to freely chose the state of life
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Which of the following statements is not true?
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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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The results of Harry Harlow's experiments with infant monkeys and surrogate mothers showed
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The answer would be C :)
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If the average adult produces $20,000 of output per year, how much global output is lost annually as a result of adult deaths fr
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Here is the answer. If the average adult produces $20,000 of output per year, the amount of global output that is <span> lost annually as a result of adult deaths from secondhand smoke is 48 billion dollars. Consider this:
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Investigating the scene of a bicycle theft, a crime scene investigator found a greasy smudge on the door frame that contained a
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up to the I am not a free download from the I am so happy to see you want to see you want to see the world and I am so happy to see you want a new video to the I am so happy to see you in a different story and the I have been in my life I have been in the I love

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