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azamat
2 years ago
14

What is the exact volume of a cylinder with a height of 8in and a diameter of 6 in

Mathematics
2 answers:
IRISSAK [1]2 years ago
5 0

Answer:

72\pi~in.^3

Step-by-step explanation:

Use the formula for the volume of a cylinder:

V = \pi r^2 h

where r = radius of the base = diameter/2

h = height of the cylinder

V = \pi r^2 h

V = \pi \left(\dfrac{6~in.}{2} \right)^2 \times 8 ~in.

V = 8~in\pi (3~in.)^2

V = 8~in.\pi (9~in.^2)

V = 72\pi~in.^3

Andru [333]2 years ago
3 0
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ You would use the formula:

volume = \pi r^2*h

Substitute in the values:

(note: the radius is half the diameter)

volume = \pi (3)^2*8

Solve:

Volume = 226.1946711

I'm not sure how far you require it rounded, or if you want the whole value so I will just leave the entire value. If you need assistance with rounding it to specific figures, just comment down below and I'll help.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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3 years ago
write The equation of the line that passes through the point parentheses (6 , 4) and is parallel to the equation 2X plus 3Y equa
aliina [53]

Answer:

2x + 3y - 24 = 0

Step-by-step explanation:

2x + 3y = 18

3y = -2x + 18

y = \frac{-2}{3}x + 6

m = -2/3

y - 4 = -2/3(x - 6)

3y - 12 = -2x + 12

2x + 3y - 24 = 0

6 0
3 years ago
2. Consider the function, f(x)=x^3+x^2-9x-9
Sedaia [141]

The intercepts of the graph are:

x-axis interception: \left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right).

y-axis interception: \left(0,\:-9\right).

See the graph of the function f(x)=x^3+x^2-9x-9  in the attached image.

<h3>Constructing a graph</h3>

For constructing a graph we have the following steps:

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For this exercise, for example, we can define a range -4<x<4.  In others words, the values of x will be in this interval.

  • Determine the points

Replace these x-values in the given equation. For example:

When x=-4, we will have: \left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21.  Do this for the all x-values of your ranges.

See the results for this step in the attached table.

  • Draw the graph

Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

<h3>Find the x- and y-intercepts</h3>

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0)  are: \left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right).

y-axis interception point (x=0) is: \left(0,\:-9\right).

Learn more about intercepts of the graph here:

brainly.com/question/4504979

5 0
2 years ago
Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th his check book shows a balance of
kakasveta [241]

Answer:

$48.87

Step-by-step explanation:

Let the deposited amount between the March 15th and the March 20th be x

Balance on 15th march =  $56.75

The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25

And he also deposited x amount

After deposits and deductions

So, balance = 56.75 +x - (13.25+5)

The new balance on 20th march =  $87.37

⇒56.75 +x - (13.25+5)=87.37

⇒56.75 +x - 18.25=87.37

⇒38.5 +x =87.37

⇒x =87.37-38.5

⇒x =48.87

Hence Carlos deposited  $48.87  in his account between the March 15th and the March 20th.

6 0
3 years ago
Read 2 more answers
When a figure is translated, what is true, compared to the preimage of the figure
Charra [1.4K]
When you translate something in geometry, you're simply moving it around. You don't distort it in any way. If you translate a segment, it remains a segment, and its length doesn't change. Similarly, if you translate an angle, the measure of the angle doesn't change.
6 0
2 years ago
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