All categories

3 years ago

How to find the volume of a cylinder

Mathematics

2 answers:

Kryger [21]3 years ago

5 0

Cylinder volume formula:

$V=\pi r^2h$

This is just the area of the circle ( $\pi r^2$ ) multiplied by the height of the cylinder.

katrin2010 [14]3 years ago

5 0

Answer:

V=^2h

Step-by-step explanation:

You might be interested in

Which of the following is an example of a false negative?

Mademuasel [1]

Test results indicate that a woman is not pregnant when she is

8 0

2 years ago

Read 2 more answers

Find the Fourier series of f on the given interval. f(x) = 1, ?7 < x < 0 1 + x, 0 ? x < 7

Zolol [24]

$f(x)=\begin{cases}1&\text{for }-7$

The Fourier series expansion of $f(x)$ is given by

$\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos\frac{n\pi x}7+\sum_{n\ge1}b_n\sin\frac{n\pi x}7$

where we have

$a_0=\displaystyle\frac17\int_{-7}^7f(x)\,\mathrm dx$
$a_0=\displaystyle\frac17\left(\int_{-7}^0\mathrm dx+\int_0^7(1+x)\,\mathrm dx\right)$
$a_0=\dfrac{7+\frac{63}2}7=\dfrac{11}2$

The coefficients of the cosine series are

$a_n=\displaystyle\frac17\int_{-7}^7f(x)\cos\dfrac{n\pi x}7\,\mathrm dx$
$a_n=\displaystyle\frac17\left(\int_{-7}^0\cos\frac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\cos\frac{n\pi x}7\,\mathrm dx\right)$
$a_n=\dfrac{9\sin n\pi}{n\pi}+\dfrac{7\cos n\pi-7}{n^2\pi^2}$
$a_n=\dfrac{7(-1)^n-7}{n^2\pi^2}$

When $n$ is even, the numerator vanishes, so we consider odd $n$ , i.e. $n=2k-1$ for $k\in\mathbb N$ , leaving us with

$a_n=a_{2k-1}=\dfrac{7(-1)-7}{(2k-1)^2\pi^2}=-\dfrac{14}{(2k-1)^2\pi^2}$

Meanwhile, the coefficients of the sine series are given by

$b_n=\displaystyle\frac17\int_{-7}^7f(x)\sin\dfrac{n\pi x}7\,\mathrm dx$
$b_n=\displaystyle\frac17\left(\int_{-7}^0\sin\dfrac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\sin\dfrac{n\pi x}7\,\mathrm dx\right)$
$b_n=-\dfrac{7\cos n\pi}{n\pi}+\dfrac{7\sin n\pi}{n^2\pi^2}$
$b_n=\dfrac{7(-1)^{n+1}}{n\pi}$

So the Fourier series expansion for $f(x)$ is

$f(x)\sim\dfrac{11}4-\dfrac{14}{\pi^2}\displaystyle\sum_{n\ge1}\frac1{(2n-1)^2}\cos\frac{(2n-1)\pi x}7+\frac7\pi\sum_{n\ge1}\frac{(-1)^{n+1}}n\sin\frac{n\pi x}7$

3 0

2 years ago

PLZ HELP BRAINLIEST!!

kogti [31]

Answer:The accompanying table shows the number of trials and the ... Write the exponential regression equation for this set of data, rounding all values to no decimal places. Using this equation, find the value of her stock, to the nearest dollar, 10 years ... culture over a 5-hour period, where x is the time, in hours, and y is the number.

mark me brinlest plzz

Step-by-step explanation:

7 0

2 years ago

Simplify |–9.23 – 1.79| – |–7.34 – 2.57|.

vampirchik [111]

Answer:

11.02-9.91= 1.11

Step-by-step explanation:

|-11.02| - |-9.91| (First solve in absolute)

11.02 - 9.91 (any values outside absolute becomes positive)

1.11=Ans

6 0

2 years ago

2(X + 3) = x - 4<br><br><br>.,.............,.......,..,.,..

Svet_ta [14]

Answer:

2x+6= x-4

2x-x= -4-6

x= -10

4 0

3 years ago

Read 2 more answers

How to find the volume of a cylinder ​

How to find the volume of a cylinder