Help me pleaseee asap

a cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. the material for the sides of the can costs

fredd [130]

The dimensions of the can are radius of can = 4cm and

height of can = 78.6cm

What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

Volume of cylinder = πr²h

According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

Let x = radius of base then area of the base = π*x² and this is the area of the top too

For lateral area we need to get h the height of the cylinder as function of x

V = πx²h ⇒ h= v/πx² ⇒ h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

A(x) = 2*π*x² + 2πx h ⇒ A(x) = 2*π*x² + 2πx (V/πx² )

A(x) = 2*π*x² + 800/x

Taking derivatives:

A´(x) = 4πx - 800/x²

A´(x) = 0 4πx - 800/x² =0 ⇒ πx - 200/x² = 0

( πx³ - 200 )/ x² = 0

πx³ - 200 = 0

x = 4 cm

and h = 400/πx² ⇒ h = 78.6 cm

To know more about volume of cylinder visit

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3 0

1 year ago

What is 48 divided by 2 (9+3) =?

Rzqust [24]

the answer is 48÷2 (9+3) = 288

6 0

4 years ago

Harold and his friend both enjoy running long distances.Yesterday Harold ran 8 2/4 miles and his friend ran 4 3/4 miles. How man

andriy [413]

Answer:

Harold ran $3\frac{3}{4}\ miles$ more than his friend.

Step-by-step explanation:

Given:

Number of miles Harold ran = $8\frac{2}{4}\ miles$

$8\frac{2}{4}\ miles$ can be Rewritten as $\frac{34}{4}\ miles$

Number of miles Harold ran = $\frac{34}{4}\ miles$

Number of miles his friend ran = $4\frac{3}{4}\ miles$

$4\frac{3}{4}\ miles$ can be Rewritten as $\frac{19}{4}\ miles$

Number of miles his friend ran = $\frac{19}{4}\ miles$

We need to find number of miles Harold ran more than his friend.

Solution:

Now we can say that;

To find the number of miles Harold ran more than his friend we need to subtract Number of miles his friend ran from Number of miles Harold ran.

framing in equation form we get;

the number of miles Harold ran more than his friend = $\frac{34}{4}-\frac{19}{4} =\frac{34-19}{4} = \frac{15}{4}\ miles$

$\frac{15}{4}\ miles$ can be Rewritten as $3\frac{3}{4}\ miles$

the number of miles Harold ran more than his friend = $3\frac{3}{4}\ miles$

Hence Harold ran $3\frac{3}{4}\ miles$ more than his friend.

4 0

4 years ago

Bethany and Heather ran a mile in gym

Black_prince [1.1K]

Answer:

2

10-8 = 2

Hope this helps:)

5 0

3 years ago

Suppose you're hiring a new worker for your business. You'd like someone reliable. Suppose you use administer a test to job-seek

stiks02 [169]

Answer:

You will have 21 positive results.

Step-by-step explanation:

Sensitivity of test:

Is the true positive rate, that is, the proportion of positive results that give positive tests.

Specificity of test:

True negative rate, that is, the proportion of negative results that give negative tests.

90% sensitive, 20 reliable people apply

0.9*20 = 18

95% specific, 60 unreliable people apply

1 - 0.95 = 0.05 of positive results.

0.05*60 = 3

How many positive results will you have?

18 + 3 = 21

You will have 21 positive results.

5 0

3 years ago