Find the total volume of the composite figure below. Round to the nearest thousandth.

Use the π key.

Find The Total Volume Of The Composite Figure Below. Round To The Nearest Thousandth.Use The Key.

Answers

Answer 1

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ([tex]V[/tex]), in cubic feet, figure can be determined by this expression:

[tex]V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l[/tex] (1)

Where:

[tex]r[/tex] - Radius of the circle of the right cone, in feet.

[tex]h[/tex] - Height of the cone, in feet.

[tex]w[/tex] - Width of the cuboid, in feet.

[tex]H[/tex] - Height of the cuboid, in feet.

[tex]l[/tex] - Length of the cuboid, in feet.

If we know that [tex]r = 10\,ft[/tex], [tex]h = 10\,ft[/tex], [tex]w = 20\,ft[/tex], [tex]H = 7\,ft[/tex] and [tex]l = 18\,ft[/tex], then the volume of the composite figure is:

[tex]V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)[/tex]

[tex]V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}[/tex]

[tex]V \approx 3567.198\,ft^{3}[/tex]

The volume of the composite figure is approximately 3567.198 cubic feet.


Related Questions

♡Complete the equation of this circle:

◇◇◇PLEASE ONLY ANSWER IF YOU KNOW FOR SURE!!!!!

...FILL IN ALL BLANKS​

Answers

The equation of the given circle is :

[tex](x - 2) {}^{2} + (y - ( - 2)) {}^{2} = 9[/tex]

So the value in the blanks will be :

1st = 2

2nd = -2

3rd = 9

In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
the value of x?

Α. 88
Β. 82
C. 98
D. 90

Answers

Answer:

82°

Step-by-step explanation:

That is the correct answer to put it simply

The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circle be represented as P

Now , the quadrilateral inscribed inside the circle be ABCD

where the measure of m∠A = 98°

The measure of m∠B = 90°

Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary

So , measure of ∠A + measure of ∠C = 180°

On simplifying , we get

98° + x° = 180°

Subtracting 98° on both sides , we get

x = 180° - 98°

x = 82°

Therefore , the measure of x is 82°

Hence , the value of x of the quadrilateral inside circle is 82°

To learn more about circle click :

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Can anybody help a brother out real quick? Would really appreciate that.

Answers

The answer is solved on the photo. Z=8/tan 22

the difference between two positive Integers is 36 . the quotient, when one integer is divided by the other is 4 . find the two integers and solve explain​

Answers

Answer:

They are both even numbers and they both go into eachother at least once

Step-by-step explanation:

find the value of x
answers:
20
80
90
100

Answers

I’m pretty certain it’s 100
X= 100 because of congruency

Use what you know about similarity and proportions to solve for x in the triangles below. Show all work.
4
10
5
x + 5

Answers

Answer:

Value of x = 7.5 unit

Length of side = 12.5 unit

Step-by-step explanation:

Given that both triangles are similar because all angles are equal;

So, the ratio of similar lines is in the same proportion.

[x + 5] / 5 = 10 / 4

4[x + 5] = 50

4x + 20 = 50

4x = 50 - 20

4x = 30

x = 30 / 4

x = 7.5

So,

Value of x = 7.5 unit

Length of side = x + 5

Length of side = 7.5 + 5

Length of side = 12.5 unit

Suzy has 20 counters. Mia has 9 times as many counters as Suzy.
How many counters does Mia have? Enter the answer in the box.

Answers

Answer:

Mia has 180 counters

Step-by-step explanation:

if Suzy has 20 counters and Mia has nine times as many as Suzy, we can multiply 20 by 9 (20×9) and get 180

Rectangle A and Rectangle B are similar. Rectangle A has side lengths of 12 and 15. Rectangle B has a side length of 60. What are the possible values for the length of the other side of Rectangle B? Select all that apply.
24

30

48

75

Answers

24 nsbshananwbajabaga

Answer:

75

Step-by-step explanation:

since rectangle A with 12 moves to 60 meaning it was multiply by 5 so therefore we multiply the 15 by 5 giving 75

Someone please help me thank you

Answers

Answer:

(3,0) and (7,8)

Step-by-step explanation:

I assume you are looking for the points at which the parabola and line cross. In that case, this is rather simple. You can look at it and see where on the graph the points are.

Tenemos 2 rectangulos, el primero mide 15 centimetros de largo y 4 centimetros de ancho al formar el segundo rectangulo se duplica las medidas ¿cuales seran sus medidas

Answers

Answer:

El segundo rectangulo va medir 30 centimetros de largo y 8 centimetros de ancho.

Step-by-step explanation:

Duplicar las medidas significa que vamos multiplicar las medidas por 2.

15 cm × 2= 30 cm

4 cm × 2= 8 cm

Espero que te ayude!

please help me!

a) 280in2
b) 300in2
c) 150in2
d) 100in2

Answers

Answer:

C) 150

Step-by-step explanation:

PLEASE HELP ASAP! WILL MARK BRAINLIEST

Answers

The third choice is your answer

Simplify: -10m + 2m4 – 13m – 20m4

Answers

Answer:

-23m-18m^4

Step-by-step explanation:

-10m+2m^4-13m-20m^4

(-10m+-13m)+(2m^4-20m^4)

-23m+-18m^4

-23m-18m^4

If this helps please mark as brainliest

shelly is rolling a six-sided number cube and recording her results in a chart.

Which is BEST supported by the data in the chart?

A.When viewing the data for rolling a six, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

B.When viewing the data for rolling a two, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

C.When viewing the data for rolling a four, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

D.When viewing the data for rolling a one, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.
***(NO LINKS AND ACTUALLY ANSWER)​***​

Answers

Answer:

A is your  answer

Step-by-step explanation:

The answer that is BEST supported by the data in the chart is A. When viewing the data for rolling a six, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

What is Probability?

This refers to the likelihood of an event to occur when different independent and dependent variables are factored in.

Hence, from the given chart, we can see that it shows the results of Shelly after she rolls a six-sided number cube and the best answer that supports the data on the chart is that as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

Read more about probability here:

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Please give me a detailed step by step explanation of how to solve y ≥ 5.

Answers

It’s already solved
           ☼ Y can be anything ☼

                                   ♣ explanation ♣

--------------------------------------------------------------------------------------

It may seem crazy that the value of Y > 5 can be anything, but it can be. Y greater than 5 basically means that Y is any number over 5 and has no exact value.

--------------------------------------------------------------------------------------

Remember, Y is a variable!

Someone help me with 20 and 19 ASAP please and thank you!!

Answers

19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.

20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be

2 * 3^2 + 5

= 2* 9 + 5

=18 + 5

=23

Elena is feeding her neighbor's dogs. Each dog gets two thirds, cup of dog food, and she uses three and one-third cups of food. How many dogs does her neighbor have?
Five, five and an eighth cups of water fill four, one-half identical water bottles. How many cups fill each bottle ?

Answers

Answer:

Remember that:

[tex]\frac{a/b}{c/d} = \frac{a}{b}*\frac{d}{c}[/tex]

A) We know that:

Each dog gets (2/3) of a cup of food.

Elena used 3 + 1/3 cups of dog food, then, how many dogs there are?

The number of dogs is equal to the quotient between the total amount of food used and the food that a single dog needs, this is:

[tex]N = \frac{3 + 1/3}{2/3}[/tex]

We can rewrite the numerator as:

3 + 1/3 = 3*(3/3) + 1/3 = 9/3 + 1/3 = 10/3

Replacing that in the above equation, we get:

[tex]N = \frac{10/3}{2/3} = \frac{10}{3} *\frac{3}{2} = 10/2 = 5[/tex]

There are 5 dogs.

B)

We know that:

5 + 1/8 cups of water, can fill four bottles.

Then, how many cups we need for each bottle?

Assuming that each bottle holds the same amount of water, then each bottle will hold a fourth of (5 + 1/8) cups of water.

This is the quotient between (5 + 1/8) cups of water and 4.

[tex]K = \frac{5 + 1/8}{4}[/tex]

We can rewrite the numerator as:

5 + 1/8 = 5*(8/8) + 1/8 = 40/8 + 1/8 = 41/8

Replacing that we get:

[tex]K = \frac{41/8}{4} = \frac{41}{8} *\frac{1}{4} = 41/32[/tex]

We can rewrite this as a mixed number in the next way:

[tex]K = \frac{41}{32} = \frac{32 + 9}{32} = \frac{32}{32} + \frac{9}{32} = 1+ 9/32[/tex]

So with 1 and 9/32 cups of water we can fill one of the bottles.

What is the least common multiple of 2 and 3?
A. 5
B. 4
C. 6
D. 3

Answers

Cccccccccccccccccccccccfvvvvvb

Plssssss helpppp meeee

Answers

Answer:

The paperclip measures 7.5 centimeters.

Step-by-step explanation:

need help asap plz!!!!! probability

Answers

Blank 1: 9/107
Blank 2: 8.41%
Blank 3: 51/107
Blank 4: 47.66%
Black 5: 13/107
Black 6: 12.14%
I hope this helps!

hey! please help i’ll give brainliest

Answers

Answer:

Anxeity (Option 4)

Step-by-step explanation:

They would most likley be anxious and nervous about what they scored on their test while waiting for the results

Answer:

I think its C

hope this helps

have a good day :)

Step-by-step explanation:

In isosceles trapezoid LMNO, the measure of Z Mis Select... V
50°
L
M
(2x + 20°
(4x - 10)
110°
350
o
N
60°

Answers

Answer:

45degrees

Step-by-step explanation:

Find the diagram attached

From the diagram m<L = m<O

GIven

m<L = 2x+20

m<O = 110degres

Equate

2x+20 = 110

2x = 110 - 20

2x = 90

x = 90/2

x = 45degrees

Hence the value of x is 45degrees

im timed help me pls

Answers

Answer:

2

Step-by-step explanation:

Question 4 (1 point)
What is the area of a circle whose circumference is 28TT? Use 3.14 as the value of IT.

A. 1230.88 Square Units

B.615.44 Square Units

C.307.72 Square Unit

D.2461.76 Square Units

Answers

Answer:

B

Step-by-step explanation:

[tex]Circumference=2\pi r=28\pi \\2r=28\\r=14\\Area= \pi r^2=\pi 14^2=3.14*14^2=615.44[/tex]

Emeka is thrice as old as Dora and Dora is
7 years older than Dupe. If the sum of their
ages is 38, how old is Dupe?
A 2 years
years B 7 years
D 31 years E 73 years
C 9 years​

Answers

Answer:

Step-by-step explanation:

let duke be x years

dora be 7+x years

and emeka be 3(7+x) years

according to question ur equation is

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28

x=10/5

x=2

Answer:

Step-by-step explanation:

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28=10

D.b.s by 5

10÷5=2

One flower is randomly taken from a vase containing 5 red
flowers, 2 white flowers, and 3 pink flowers. Find each
probability.
p(red)=

Answers

3/5 flowers are red
So, 3/5 = 0.6 which is 60%
Therefore, there is a 60% chance a red flower will be picked
Answer: There is a %60 percent chance a red flower will be picked.

I WILL GIVE BRAINLESS IF YOU HELP ME PLZ

S.O.S I HAVE MATH

Answers

A, first find the slope of the line shown, which is 2x+1
slope is rise/over run, with the y-intercept being on 1

When looking at rate of change, it's really just telling you to look at the slope and how steep it is. The more steeper it is, the higher the rate of change. (as close as it is to being a vertical line). Since the slope here is 2. Look for one that has a slope greater than 2, which is 3. Therefore the answer

A. 3x-1

Hope this helps!

which statement accurately describes the scatterplot

Answers

Answer:

A. The points seem to be clustered around a line

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because there are 2 outliers

The smallest 4 digit number which is divisible by 3?

Answers

The answer to the question is 1002

Find the measures of the interior angles of the triangle

Answers

Answer:

45°, 110° & 25°

Step-by-step explanation:

We know,

x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)

or, 2x + 90 = 180°

or, 2x = 90°

∴ x = 45°

Now,

∡A = x° = 45°

∡B = x +65° = 45° + 65° = 110°

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