All categories

3 years ago

What is the best approximation for the circumfrence of a circle with a diamiter of 400 inches

1 answer:

4 0

$\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=400 \end{cases}\implies C=400\pi \implies C\approx 1256.637$

You might be interested in

What is the slope of the line ?

zloy xaker [14]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

Which of the following is a good way to quickly determine whether 3⁄12 and ¼ are equal? A. Inverse multiplication B. Reciprocal

IRINA_888 [86]

D. , this is a good way because this way you can easily multiply and then you'll see your answer right in front of you.

** This is an opinionated question so you don't have to listen to my answer but please rate my answer. Thanks!

4 0

3 years ago

Read 2 more answers

A loan of $5000 is made by Citizens State bank at a simple interest rate of 7.25%. Calculate the simple interest owed and the to

solniwko [45]

Answer:

bite my wrist

Step-by-step explanation:

4 0

2 years ago

-2x+5c+6c-3x=<br> Simplify and write the answer.

Irina18 [472]

-2x+5c+6c-3x
-5x+11c=

8 0

3 years ago

Read 2 more answers

What is the best approximation for the circumfrence of a circle with a diamiter of 400 inches​

What is the best approximation for the circumfrence of a circle with a diamiter of 400 inches