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
Stolb23 [73]
11 months ago
5

Find the volume of the composite figure.First, find the volume of the cylinder.Use 3.14 for it.CylinderVolume = [?] cm9 cm9 cmCu

be6 cmVolume = [ ]cm4 cmTotal Volume ofComposite Figure = [] cm3=9 cm

Mathematics
1 answer:
skad [1K]11 months ago
6 0

Solution

- The question gives us a composite figure made up of a cylinder and a cube.

- We are required to find the volume of the cylinder and the cube and then use the results to find the volume of the composite figure.

- The formulas needed for this calculation are:

\begin{gathered} Volume\text{ of Cylinder}=\pi\times r^2\times h \\ where, \\ r=radius\text{ of the cylinder} \\ h=height\text{ of the cylinder} \\  \\ Volume\text{ of Cube}=l^3 \\ where, \\ l=dimension\text{ of the cube} \\  \\ Volume\text{ of Composite figure}=Volume\text{ of Cylinder }+Volume\text{ of Cube} \\  \end{gathered}

- With the information above, we can proceed to solve the question

Volume of the Cylinder:

\begin{gathered} V=\pi\times r^2\times h \\ r=\frac{6}{2}=3\text{  \lparen Since 6cm is the diameter of the cylinder\rparen} \\ h=4 \\  \\ \therefore V=\pi\times3^2\times4 \\  \\ V=36\pi cm^3 \end{gathered}

Volume of Cube:

\begin{gathered} V=l^3 \\ l=9 \\ \therefore V=9^3=729cm^3 \end{gathered}

Volume of Composite Figure:

\begin{gathered} V=36\pi+729 \\ use\text{ }\pi=3.14 \\  \\ V=36\left(3.14\right)+729 \\  \\ V=842.04cm^3 \end{gathered}

Final Answer

The volume of the composite shape is 842.04 cm³

You might be interested in
Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roo
svetlana [45]

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\

Therefore the roots are -4 and 1

The product of the roots are -4 x 1 = -4

5 0
3 years ago
The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of m
UkoKoshka [18]

Answer:

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

X \sim N(14.7,3.7)  

Where \mu=14.7 and \sigma=3.7

Since the distribution of X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we have;

\mu_{\bar X}= 14.70

\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59

Step-by-step explanation:

Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of \bar X Round your answers to two decimal places.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

X \sim N(14.7,3.7)  

Where \mu=14.7 and \sigma=3.7

Since the distribution of X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we have;

\mu_{\bar X}= 14.70

\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59

4 0
3 years ago
A jar of tickets for a drawing contains 22 winning tickets and 63 non-winning tickets. What are the odds against winning in the
Darya [45]

Answer:

B.

Step-by-step explanation:

You have to find the total of tickets which is 85 and find the non-winning tickets which is 63. So, the answer is 63:85.

8 0
3 years ago
Please help with this khan academy questions
Mumz [18]

Answer:

-3,3

Step-by-step explanation:

the line reaches at the point -3 at the bootem and the top reaches 3 so how i know it would be 3 ,-3     bc the 3 is at the top and -3 is at the bottem

5 0
2 years ago
Find the length of the third side. If necessary,<br> round<br> to<br> the nearest tenth.<br> 4<br> 7
Natalija [7]
Can you show a picture of the question
8 0
3 years ago
Read 2 more answers
Other questions:
  • You estimate that there are 66 cars in a parking lot. The actual number of cars is 75.
    14·1 answer
  • A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 150 pounds requires
    11·1 answer
  • Find P(x): P(x^2+x+3)P(3x+1)=P(6x^3+7x^2+16x+3)​
    15·1 answer
  • Your friend just purchased a new sports car for 32,000 dollars. He received 6,000 dollars for his trade in and he used that mone
    11·1 answer
  • What is the missing constant term in the perfect square that starts with x square minus 12 x
    14·1 answer
  • We generally report a measurement by recording all of the certain digits plus​ ______ uncertain​ digit(s).
    14·1 answer
  • The suns surface has a grainy texture produced by numerous bright markings called
    7·2 answers
  • Does 10p/2q = 5p/q<br> I think it is not equal but it doesn't seem right.
    13·1 answer
  • Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall an
    13·1 answer
  • PLEASE HELP ME. Really need help
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!