What does it mean when the numbers 789 glow on a ouija board

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

Please help

Alina [70]

Answer: See explanation

Explanation:

1. High-density lipoprotein cholesterol is usually called the the good cholesterol due to the fact that it helps in removing other cholesterols that are harmful from ones blood. Normally, the higher the HDL levels in an individual, the better.

The risk of having an HDL of 25 is that it increases the chance of the person having a heart disease.

2. The healthy ranges for the following include:

a. Total cholesterol = Less than 200mg/dL

b. HDL = 40mg/dL or higher

c. LDL = Less than 100mg/dL

d. Triglycerides = Less than 150mg/dL

4 0

3 years ago

You got lost hiking in the woods with a friend and you are running out of food

m_a_m_a [10]

Eat the fattest one.

7 0

3 years ago

Read 2 more answers

1. Approximately how long has the victim been dead if their body temperature was 25.9 degrees C (85.2 degrees F)?

FromTheMoon [43]

Answer:

1. 14 hours and 14 minutes

2. 25 hours 12 minutes others say 9 hours 42 minutes. Not so sure about this one

5 0

2 years ago

How do the rates at which land and water heat up eventually cause the predictable movement of air

NNADVOKAT [17]

Land and water differ into the absorption and releasing of heat, the land heats up quicker than the water, and the land also cools off quicker than the water. So when the air is hotter over the land (during the day), then the air masses are moving from the sea to the land cause they are cooler and heavier. When the air is cooler over the land (during the night), then the air masses move from the land towards the water.

4 0

3 years ago