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2 years ago

S=πr^2+πrlsolve for l

Advanced Placement (AP)

1 answer:

Viefleur [7K]2 years ago

4 0

Answer:Formula for surface area of a cone: S=πrl + πr^2. Solve for l. Then find l when S=283cm^2 and r =5cm.

Explanation:

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I remember well the remark made to me once by one of my teachers—and a very good teacher, too, who nevertheless did not see what

EastWind [94]

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¿Puedes hablar español porque no puedo leer las palabras en inglés?

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3 years ago

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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3 years ago

If you co-sign for a friend's credit card, what is the danger to you if your friend fails to pay? A. You might get secured credi

NemiM [27]

Answer:

either B or C.. but I'm really strong on B sorry if im wrong this is just my opinion

Explanation:

I think the answer would be B because if you co-sign and that person don't pay their part.. it falls on you because toy are the second party and the co-signer

but I also think it would be C a little too because if that person not paying they part it could put a dent in yours credit score because y'all co-signed together

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3 years ago

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2 years ago

I have 103 points should i juss give them all away?

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Answer:

OK give all the points away