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
What square root is closest to 5
nikklg [1K]

Answer: 2.236

Step-by-step explanation: The square root of 5 is expressed as √5 in the radical form and as (5)½ or (5)0.5 in the exponent form. The square root of 5 rounded up to 5 decimal places is 2.23607. It is the positive solution of the equation x2 = 5.

7 0
2 years ago
7 POINTS!!! EASY!!BUT I AM SMALL. A skateboarder traveled 3 5 of a mile in 1 20 of an hour. What was the skateboarder’s speed in
Alex17521 [72]
Speed = distance ÷ time so it's probably
35÷120=0.291 or 7/24 miles per hour
7 0
3 years ago
Read 2 more answers
IS THE PRODUCT OF 89 AND 20?​
Shalnov [3]

Answer:

1780

Step-by-step explanation:

product means multiply

20x89=1780

4 0
2 years ago
Someone help pls. can someone solve it for me??
cupoosta [38]

Answer:

  slope = 5/3

Step-by-step explanation:

The line rises 5 units for each 3 units it goes to the right. (The y- and x-intercepts are clues.) The slope is the ratio of rise to run: 5/3.

3 0
3 years ago
Draw a rectangle that has an area of 8 units square and a perimeter of 12 units. What are the side lengths
choli [55]

Answer:

4 by 2

Step-by-step explanation:

you can basically guess and check with this question but I knew if it was a rectangle then 2 sides would be larger than the other. So I started off figuring out what times what equals 8 and I got 2 and 4. So I put those in for the side lengths and I got 12.

8 0
3 years ago
Other questions:
  • What is the unit distance, Rounded to the nearest hundredth, between the points (-5, 2) and (3, 7)?
    9·1 answer
  • Joe is trying to soup up his dragster. He knows that the time needed for the car to go from 0 to 100 miles per hour varies inver
    14·1 answer
  • Find the area of the triangle below​
    15·2 answers
  • Find the zeros (x-3)(x+5)=0
    12·1 answer
  • What is the # of students that reported biking as their favorite activity?
    10·1 answer
  • X— 3y+z= 6<br>2x — бу – 2 = -2<br>—x+y+ 2 = 7​
    14·2 answers
  • Help quick please with explain
    13·1 answer
  • Can u help me find the Answer
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=5%5E%7B3%7D" id="TexFormula1" title="5^{3}" alt="5^{3}" align="absmiddle" class="latex-formula
    6·2 answers
  • one end of a tent is a triangle. the height of the triangle is 1.5 m and the base is 2.5 m. what is the area of the triangle?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!