1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scrat [10]
3 years ago
9

The cylindrical container is four-fifths full of powder. Round to the nearest tenth if necessary. a. The total capacity of the c

ontainer in terms of π is________________________. b. The volume of the powder in terms of π is _______________________.
Mathematics
1 answer:
mezya [45]3 years ago
4 0

Answer:

a. \pi r^2h

b. \frac{4\pi r^2h}{5}

Step-by-step explanation:

Volume of the container denotes its quantity. It is a three-dimensional space.

Let V denotes the volume of the container, h denotes the height of the container and r denotes the radius of the container.

a.

The total capacity of the container in terms of π is \pi r^2h<u />

b.

As the cylindrical container is four-fifths full of powder, so the volume of the powder in terms of π is \frac{4}{5}\times volume of the container i.e., \frac{4\pi r^2h}{5}

You might be interested in
Part ion even know of the hardest test
ladessa [460]

Given:

The equation of a line is:

y=-\dfrac{5}{7}x+2

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

y=mx+b                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

y=-\dfrac{5}{7}x+2          ...(ii)

On comparing (i) and (ii), we get

m=-\dfrac{5}{7}

We know that the product of slopes of two perpendicular lines is always -1.

m_1\times m_2=-1

-\dfrac{5}{7}\times m_2=-1

m_2=\dfrac{7}{5}

Slope of the required line is \dfrac{7}{5} and it passes through the point (-5,-3). So, the equation of the line is:

y-y_1=m_2(x-x_1)

y-(-3)=\dfrac{7}{5}(x-(-5))

y+3=\dfrac{7}{5}(x+5)

Using distributive property, we get

y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)

y+3=\dfrac{7}{5}x+7

y=\dfrac{7}{5}x+7-3

y=\dfrac{7}{5}x+4

Therefore, the equation of the line is y=\dfrac{7}{5}x+4. Hence, option A is correct.

4 0
3 years ago
Eric’s average income for the first 4 months of the year is $1,450.25, what must be his average income for the remaining 8 month
netineya [11]
Too harddd sorryyybxnskzmskndjwjnekkks
6 0
3 years ago
Pls help!!!
Effectus [21]
A is the correct choice
3 0
3 years ago
Write an equation for a slope of -2 And y-intercept of 7
larisa86 [58]
Y=-2x+7 That is the equation written in y=mx+b formula

4 0
3 years ago
Read 2 more answers
Y=x+3 <br> 2x-y=-1<br> write solution as ordered pair
dsp73

The first equation tells you that y=x+3. If you substitute this expression for y in the second, we have

2x-(x+3)=-1 \iff x-3=-1 \iff x=2

And we can deduce y=x+3=2+3=5

5 0
3 years ago
Other questions:
  • What is the third quartile, Q3, of the data represented by the box plot? 0 12.5 20 65 143.75
    12·1 answer
  • Square Root
    12·2 answers
  • When x=8 y=20 find y when x=42
    11·1 answer
  • Linda's container of cranberry juice holds 200 ml. Harries container holds 7/8 as much juice. How many milliliters of cranberry
    12·1 answer
  • Find the inverse laplace transform of: (2 s + 4) / (s - 3)^3
    15·1 answer
  • John can mow the golf course in 7 hours Larry can mow it in five hours form a rational equation that can be used to determine ho
    8·1 answer
  • HELP PLZ I GIVE BRAINLEST FIRST COME FIRST SERVE GOD BLESS YOU
    5·2 answers
  • The graph of the function y=tan(x) was horizontally stretched so that its period became 10pi Which is the equation of the transf
    9·2 answers
  • HELP FAST IM GIVING BRAINLIST BTW!!!
    11·2 answers
  • 2<br> Calculate the volume of the cylinder.<br> 4 cm<br> 10 cm<br> &lt;<br> Use = 3.14.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!