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]
1 year 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]1 year 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
A. Find the value of x that maximizes the area of the figure.
amm1812

Step-by-step explanation:

the area is

A=\frac{(12+12-4x)(x+2)}{2}\\=2(6-x)(x+2)\\=-2x^2+8x+24\\=-2(x^2-4x+4)+32\\=-2(x-2)^2+32

will max if

a. x = 2

and the max area is

b 32

5 0
3 years ago
How do you work in detail the problem below?<br><br> 2x=3x+1
natta225 [31]
2x=3x+1
First, subtract 3x from both sides to get the variable on only one side
-x=1
Now, divide -x by -1 so that it can get rid of the negative sign and so the only thing remaining on the x's side is x.
Your final answer should be: x=-1
6 0
3 years ago
Evaluate: <img src="https://tex.z-dn.net/?f=3-2%5E2%2B4%2A3%2B5" id="TexFormula1" title="3-2^2+4*3+5" alt="3-2^2+4*3+5" align="a
earnstyle [38]

Answer:

16

Step-by-step explanation:

Apply PEMDAS:

Solve the exponent, multiply from left to right, and then subtract and add from left to right.

3-2^2+4*3+5\\\\3-4+4*3+5\\\\3-4+12+5\\\\-1+12+5\\\\11+5\\\\\boxed{16}

8 0
3 years ago
Read 2 more answers
Write a story that could represent this math problem. A rectangle partitioned into thirds five times. The first part, the second
SSSSS [86.1K]

Answer:

The problem is 5 × 2/3 so

Billy paycheck every week was 2/3 a dollar which is approximately 66 cents but one day he did fantastic and got a raise and the raise was 5 times his last paycheck how much money is Billy new paycheck? So we do 5 × 2/3 and that equals 10/3, or 3 1/3, or 3 dollars and 30 cents.

Step-by-step explanation:

just copy and paste it.

7 0
3 years ago
Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.
vichka [17]

Answer:

  y = 18.25

Step-by-step explanation:

The 2-point form of the equation of a line can be used to write the equation of the line through the given points.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-2 -7)/(3 -(-1))(x -(-1)) +7

  y = -9/4(x +1) +7

For x = -6 this evaluates to ...

  y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7

  y = 18 1/4

6 0
3 years ago
Other questions:
  • What does x equal in the equation below?<br> 4x - 2 = 10
    11·2 answers
  • WILL MAKE BRAINLIEST
    13·2 answers
  • What is the probability of randomly selecting a z-score less than z = 1.25 from a normal distribution?
    7·1 answer
  • Help me!!!!! please
    14·1 answer
  • X divided by the product of 5 and y
    11·2 answers
  • “HOT PIZZA” is offering a 20% discount on all its pizzas
    15·1 answer
  • A taxi service charges $5.00 to ride in the vehicle and then $1.00 for each mile.
    15·2 answers
  • If I get 18 dollars every 2 weeks how long before I get 2,000?
    14·1 answer
  • Find the rate in miles per hour. 5 1/3 miles in 7 1/2 minutes
    9·1 answer
  • I donnt know ..............
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!