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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

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12345 [234]
1. 24 students and 3 absent

24-3=21

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2. 21 students divided by the 3 vans
equals to 7

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6 0
2 years ago
If an object is dropped from a height of 144 feet, the function h(t)=-16t^2+144 gives the height of the object after t seconds.
shtirl [24]

Answer:

A. 3s

Step-by-step explanation:

The height of the object after t seconds is given by:

h(t) = -16t^2 + 144

When will the object hit the ground?

It hits the ground after t seconds, and t is found when h(t) = 0. So

h(t) = -16t^2 + 144

0 = -16t^2 + 144

16t^2 = 144

t^2 = \frac{144}{16}

t^2 = 9

t = \sqrt{9}

t = 3

3 seconds, so the correct answer is given by option a.

5 0
2 years ago
Find the equation of the line that passes through (1, -1) and is parallel to
daser333 [38]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

2x+y-3=0\implies y=\stackrel{\stackrel{m}{\downarrow }}{-2} x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line with a slope of -2 and that passes through (1 , -1)

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=-2x+2\implies y=-2x+1

8 0
2 years ago
Help me please I don’t know what to do what’s the answer
shtirl [24]
YAY!!! ANOTHER PERSON FRON ED-GENUITY!!!
All of the letters are equal to 90 degrees so the answer would be C.
Hope I helped!
7 0
2 years ago
DOES ANYONE KNOW THIS
GREYUIT [131]

Answer: 13 players.


Step-by-step explanation:

1. Let's call:

 x: Price of the shirt (x=17)

 y: Price of socks  y=5.50

 n: number of players.

2. You know that the budget is $300 and you have the following formula given in the problem:

n(x+y)\leq300

3. Substitute values and solve for n.Then, you obtain the following result:

n(17+5.50)\leq300\\22.5n\leq300\\n\leq13.33

4. The answer is: 13 players.

5 0
3 years ago
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