A lamp shade is in form of a frustum of a cone , its upper and lower diameter are 10cm and 20cm respectively , its height is 12cm . Calculate the volume of the frustum

Answers

Answer 1

Answer:

V = 8796.45 [tex]cm^3[/tex]

Step-by-step explanation:

Given data :

A lamp shade is in the form of a frustum of a cone.

The upper diameter of the cone, r = 10 cm

The lower diameter of the cone, R = 20 cm

The height of the frustum, h = 12 cm

Therefore, the volume of the frustum of cone is given by :

[tex]V = \frac{1}{3} \pi H ( R^2 + Rr+r^2)[/tex]

Putting the values, we get

[tex]V = \frac{1}{3} \pi \times 12 [( 20)^2 + (20)(10)+(10)^2][/tex]

[tex]$V=4 \pi[400 + 200+100]$[/tex]

[tex]$V=4 \pi[700]$[/tex]

V = 8796.45 [tex]cm^3[/tex]

Thus the volume of the frustum of cone is V = 8796.45 [tex]cm^3[/tex]


Related Questions

Help me thanks bsbsbs

Answers

Answer:

4.56, 4,65, 5,46, 5.64, 6.45 and 6.54

Step-by-step explanation:

start with the whole number and find the smallest one!

It would be 4 then find the number with the smallest amount

Keep doing this to all of the numbers


2. What is the mode for the data set 13, 11, 10, 12, 14, 9,
11, 8, 11?
A.10
B. 11
C. 12
D. none of the above

Answers

Answer:

11

Step-by-step explanation:

mode is the number that is most frequent

11

Answer:

11

Step-by-step explanation:

Mode means the highest repeated observation in the data set,

Therefore Mode = 11, as 11 has repeated 3 times, the most in the data set

What is the purpose of using a scatterplot? Check all
that apply.
O to organize bivariate data
to plot points to connect a line
to plot points for two sets of data
O to compare dependent and independent variables
O to visualize relationships between data
O to find slope between two variables

Answers

Answer:

to organize bivariate data

to plot points to two sets of data

to compare dependent and independent variables

to visualize relationships between

Step-by-step explanation:

Put these numbers in order from greatest to least.

0.32,1/2,0.66, and 0.45

Answers

0.66, 0.45, 1/2, 0.32
.066, 1/2, .45, .32
Explanation
1/2 is .50 and you put the values in descending order

how many joules of work are done against a cart when a force of 50N pushes it 1000m anway

Answers

25 since I was saying you had a

Which inequality is true? Please help!

Answers

Answer:

second one

Step-by-step explanation:

4[tex]\pi[/tex] = 12.56

that's greater than 12

Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30


whoever answer this first gets 30 points​

Answers

Answer:

-3x+30

Step-by-step explanation:

[tex]4\left(x+7\right)-7x+2[/tex]

Expand [tex]4(x+7)= 4x+28[/tex]

[tex]4x+28-7x+2[/tex]

Simplify [tex]4x+28-7x+2[/tex]

[tex]-3x+30[/tex]

if line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?

Answers

Answer:

what do the lines look like

Step-by-step explanation:

So I am rolling a standard dice once. Is rolling 3 or 4 mutually exclusive events? Please help me understand this.

Answers

I would say yes only because out of 6 numbers you roll 2 that are right before or after eachother same as 1,2 or 2,3 or any numbers close to eachother in this case 3,4

What is the product on this Brainly test

Answers

Answer:

I have no clue to be honest

HELP HELP HELP HELP HELP HELP

Answers

Answer:

148 Degrees

Step-by-step explanation:

32-180=148

148+32=180

Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.

Answers

AnswerAverage pay per hour 19.15

Step-by-step explanation:

1750 + 2% = 1785 pay increase

1785 x 12 months = 21420 a year

21420 divided by 52 weeks in a year averages to 411.92 weekly

Divide 411.92 by the 45 hours of work is 19.15 per hour

Brainliest please, if correct.

Dr. Cal Coolis wants to determine which of three e-learning packages leads to the most improvement in mathematical ability. Sixty high-achieving students from a local school volunteer to test the software. Twenty randomly chosen students use each package for six months, after which their improvement in mathematical ability is measured and compared. In designing this experiment, Dr. Coolis violated the guiding ethical principle of

Answers

Answer: justice

Step-by-step explanation:

The ethical principle of justice is the principle which implies that everyone should be treated equally and given fair and same treatment.

In this case, the principle of justice is violated because out of the sixty people who volunteered to test the software, only twenty randomly chosen students used the software while the improvement in the ability of all the sixty students were then compared.

The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?

Answers

Answer:

27583.78 s

Step-by-step explanation:

Use the orbit equation to get v, then v=distance/time to get time.

Correct on Acellus

Assignment
1
Which is rational?
a. 64
b. 17
C. 67.714819...
22. Which is irrational?
a. 75.106
c. 101
Identify each of the following as Rational or Irrational.
3 -42
4 65.4279
5
98
16
6
25
7 57.013013..
8
18.44333777...
9
-139.04
24
10

Answers

It is irrational 33 anwser is a

Evaluate the expression below 6^-3

Answers

I guess the question you have typed is wrong

Answer:

Step-by-step explanation:

6^{-3}

[tex]=\frac{1}{6^3} \\=\frac{1}{216}[/tex]

Please help!!
The slope of a line that passes through the points (-6, w) and (-10, 4) ls 1/8. What is the
value of w?

Answers

Answer:

[tex]\displaystyle w=\frac{9}{2}=4.5[/tex]

Step-by-step explanation:

We can use slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So:

[tex]\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}[/tex]

We are given that this equals 1/8. Therefore:

[tex]\displaystyle \frac{4-w}{-4}=\frac{1}{8}[/tex]

Solve for w. Cross-multiply:

[tex]-4(1)=8(4-w)[/tex]

Distribute:

[tex]-4=32-8w[/tex]

Isolate:

[tex]-8w=-36[/tex]

So:

[tex]\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5[/tex]

please please help me I have a test I need to take! Answer the following questions about the centroid of this triangle!!!!

Answers

Answer: I am sorta answering this on my alt, just move along

Step-by-step explanation:

The whole lenght is the short length 9 and the long length 18 added.

Order the following numbers from least to greatest.
Put the lowest number on the left.

Answers

Answer:

-4, -1, 0, 4

Step-by-step explanation:

[tex]\boxed{ -4 }[/tex] < [tex]\boxed{ -1 }[/tex] < [tex]\boxed{ 0 }[/tex] < [tex]\boxed{ 4 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

The negative numbers [tex]\sf\purple{-4}[/tex] and [tex]\sf\purple{-1}[/tex] are placed on the left side of 0 as they are smaller than 0.

Unlike positive numbers, the negative numbers decreases as we keep moving to the left. Therefore, -1 is greater than -4.

➺ Negative numbers < 0 < Positive numbers.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Consider function h. Complete the statements describing the y-values of function h.

1. The end behavior of function h is described by (an oblique, no, or absolute) asymptote.
2. The range of function h is all y-values (less than or equal to 4,1,-4, or 0) and (greater than 1, 0, -4, or 4)

Answers

Answer:

1) The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.

2) The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.

Step-by-step explanation:

1) The end behavior of the function is defined by a horizontal asymptote, that is the values of [tex]y[/tex] when [tex]x[/tex] tends to [tex]\pm \infty[/tex]. Answer: The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.

2) The range of the function is the set of values of [tex]y[/tex] associated with the function. The existence of two vertical asymptotes give the following solution for the range: [tex]Ran \{h\} = (-\infty, 0] \,\cup\,(1, +\infty)[/tex] Answer: The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.

Solve the following system:
-2x + 2y + z = 14
3x – 2y +z = -5
-x + y - 2z = -8
PLEASE HELP

Answers

Answer:

Read explanation

Step-by-step explanation:

Use elimination

Add them all up

y = 1 ( everything else cancels )

-2x + 2(1) + z = 14

3x - 2(1) + z = -5

-x +(1) - 2z = -8

simplify

-2x + z = 12

3x + z = -3

-x -2z = -9

U can't use elimation because it would turn into 0 = 0

change last equation

x + 2z = 9

x = -2z + 9

plug that in

-2(-2z+9) + z = 12

3(-2z+9) + z = -3

-(-2z+9) - 2z = -9

4z - 18 = 12

-6z + 27 + z =-3

2z - 9 - 2z = -9

simplify

4z = 30

-5z = -30

0 = 0

z = 6

y = 1

x = -3

Please help me answer this

Answers

C sosksnsnsizjsnksisjbddn

Elena paga por su recibo de teléfono S/. 132,80 y de luz S/. 75,20. Si 3 meses del año pagó igual. ¿Cuánto pagó por este tiempo?

Answers

Answer:

Por 3 meses Elena pagó $624.

Step-by-step explanation:

Elena paga por su recibo de teléfono $ 132,80 y de luz $ 75,20. Por lo que, para obtener lo pagado por Elena en ese mes por sus recibos se debe sumar ambos importes:

132,80 + 75,20= 208

Entonces en ese mes Elena pagó $208.Si 3 meses del año pagó el mismo importe, entonces debes multiplicar $208 por 3.

208*3= 624

Entonces, por 3 meses Elena pagó $624.

Help me find the slope please guys
Im struggling

Answers

Answer:

negative 1

Step-by-step explanation:

[tex] \frac{y2 - y1}{x2 - x1} = m[/tex]

the 2 points: (-2,0), (-3,1)

(1-0)/(-3+2)

=-1

m=-1

brainliest please

Perform the transformations

Answers

I can’t see the question it looks blurry

Please help me!It's urgent! I beg you guys

Answers

Answer:

y = -13

Step-by-step explanation:

y = 3x - 1             equation(i)

2x - y = 5            equation(ii)

now substitute the value of y in equation(ii)

2x - y = 5

2x - (3x -1) = 5

2x - 3x + 1 = 5

-x = 5 -1

-x = 4

x = -4

again substitute the value of x in equation (i)

y = 3x - 1

y = 3*-4 - 1

y = -12 - 1

y = -13

Can y’all please help me which equation has an infinite number

Answers

Answer:

B

Step-by-step explanation  

: )

Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378

Answers

Answer:

a) 11,129

b) 2,625,966

I think that the answer

The system of equations
IX = y-1 ly+4=X+6 has
A no solution
B one solution
C infinitely many solutions

Answers

Answer:

no solution

Step-by-step explanation:

y = x+1 and y = x + 2 don't touch because they are parallel

if you don't know what parallel means, just search it up, but i can explain it to you:

parallel means same slope or same steepness of line

HELLPPP DUE IN 10 MINUTES

Answers

Answer:

Step-by-step explanation:

The Letter B

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