When it comes to aggressive driving, you must acknowledge, witness, and modify your:

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

3 years ago

I will post a random question with 100 hundred points if you answer this question right for me.

rosijanka [135]

Answer:

working in laboratories

working with computers

analyzing information

7 0

3 years ago

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Which of the following tips would you recommend to a friend who is in credit card debt?

denis-greek [22]

All of the above is your answer

4 0

3 years ago

The owner of a plant nursery will conduct a study to investigate whether a new fertilizer is more effective than an older fertil

bagirrra123 [75]

Answer:

1. It reduces the probability of sampling bias.

2. A random sample will be more representative of the whole population.

3. Allows the researcher to determine the efficacy of the fertilizer.

Explanation:

Selecting a simple random simple from a large population is a widely used method in science. Researchers select a random sample so every individual, in this case seedling, has an equal chance to be selected.

Therefore, it is an accurate method that, although is not free from errors, avoids or reduces the probability of sampling bias. Selecting a truly random tomato seedling will be more representative of the whole population of seedling instead of selecting carefully a seedling that already has specific or desired characteristics. Hence, this random sampling will allow the researcher to determine the efficacy of the fertilizer.

5 0

3 years ago

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Teaching is not everyone's cup of tea.Discuss

PtichkaEL [24]

Answer:

i have a big explanation that i cant write it here so you should look for someone else if you need a compact one cuz this is brief but it worth it to get points :)

Explanation:

It's basically because people have different ideas and wishes on what to be,they have different opinions on which is better and which isn't the best. Teaching may be people's tea but doctors,engineers,football players,basketball players,why?,even carpenters are people's tea.its not just teaching which is a profession.there are many professions even fashion designers can be some peoples dream and even police officers can be some people's dream it could be anything!

8 0

3 years ago

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