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3 years ago

Identify the diameter of the disc

Mathematics

1 answer:

Olegator [25]3 years ago

4 0

radius = (4*10^2 + 24^2)/8*10 =

(400 + 576)/80=

976/80 = 12.2

diameter = 12.2 x 2 = 24.4

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Let S denote the plane region bounded by the following curves:

oee [108]

The volume of the solid of revolution is approximately 37439.394 cubic units.

<h3>How to find the solid of revolution enclosed by two functions</h3>

Let be $f(x) = e^{\frac{x}{6} }$ and $g(x) = e^{\frac{35}{6} }$ , whose points of intersection are $(x_{1},y_{1}) =(0,1)$ , $(x_{2}, y_{2}) = (35, e^{35/6})$ , respectively. The formula for the solid of revolution generated about the y-axis is:

$V = \pi \int\limits^{e^{35/6}}_{1} {f(y)} \, dy$ (1)

Now we proceed to solve the integral: $f(y) = 6\cdot \ln y$

$V = \pi \int\limits^{e^{35/6}}_{1} {6\cdot \ln y} \, dy$ (2)

$V = 6\pi \int\limits^{e^{35/6}}_{1} {\ln y} \, dy$

$V = 6\pi \left[(y-1)\cdot \ln y\right]\right|_{1}^{e^{35/6}}$

$V = 6\pi \cdot \left[(e^{35/6}-1)\cdot \left(\frac{35}{6} \right)-(1-1)\cdot 0\right]$

$V = 35\pi\cdot (e^{35/6}-1)$

$V \approx 37439.392$

The volume of the solid of revolution is approximately 37439.394 cubic units. $\blacksquare$

To learn more on solids of revolution, we kindly invite to check this verified question: brainly.com/question/338504

8 0

2 years ago

Ms. Smith and Mr. Roberts are running a race. Ms. Smith runs 8, 305 feet. Mr. Roberts runs 2 miles. How many feet further does M

Tcecarenko [31]

Answer:

Mr. Roberts runs 2,255 more feet then Ms. Smith.

Step-by-step explanation:

So I took 5,280 + 5,280 = 10,560 so now I can just take Ms. Smith's 8,305 and subtract it from 10,560 which gave me 2,255 so Mr. Roberts runs 2,255 more feet then Ms. Smith.

3 0

3 years ago

It takes you 0.8 of a minute to read each page of your health book. it takes you 5.5 minutes to take the test at the end. how lo

o-na [289]

Answer: 10.5 minutes

Step-by-step explanation:

Given: Time taken to read each page of health book = 0.8 minutes

Time taken to take the test at the end = 5.5 minutes

Let x be the number of pages of book to read, then time taken to read pages and take the test is given by :-

$T(x)=0.8x+5.5$

If we read 6.25 pages, then time taken to read 6.25 pages and take the test is given by :-

$T(6.25)=0.8(6.25)+5.5=5+5.5=10.5\ minutes$

5 0

3 years ago

Read 2 more answers

Which is a translation of f(x)=|x|. Write the function rule for g(x)

eduard

Answer:

g(x) = | x + 7 |

Step-by-step explanation:

The absolute value graph f(x)=|x| is a V-shaped graph with the vertex (tip, point) at (0,0). The graph shown has been translated (slid, shifted) 7 units to the left. Left or right shifts, horizontal shifts, are caused by an adjustment to the x. Horizontal shifts are also maybe the opposite of your intuition. Left shifts, you ADD to x. Right shifts, you subtract from x.

This is a left shift, so adjust the x by inserting a +7

f(x) = |x|

g(x) = | x + 7 |

6 0

2 years ago

Draw the graph of the equation: 1.6x=4.8

kiruha [24]

Answer:

Here...

Step-by-step explanation:

3 | 0

3 | 1

<u><em>The picture is the graph ( I'm not sure why I wrote that you probably already knew... but, I'm not sure if this helps but here.. :D )</em></u>

6 0

2 years ago