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
RideAnS [48]
2 years ago
10

Find the volume of the cylinder.

Mathematics
2 answers:
KiRa [710]2 years ago
7 0

Answer:

  12π ≈ 37.7 cubic centimeters

Step-by-step explanation:

The volume of the cylinder can be found using the appropriate formula.

__

<h3>dimensions</h3>

The cylinder is marked as having a diameter of 4 cm, and a height of 3 cm. The radius of the cylinder is half the diameter:

  r = d/2

  r = (4 cm)/2 = 2 cm

__

<h3>formula for volume</h3>

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . . where r is the radius and h is the height

Using the dimensions given, we find the volume to be ...

  V = π(2 cm)²(3 cm) = π(4 cm²)(3 cm) = 12π cm³

Written as a decimal, the volume is about ...

  12π cm³ ≈ 37.70 cm³ . . . . volume of the cylinder

_____

<em>Additional comment</em>

You probably noticed that we used the units in the formula along with the numbers. Units abbreviations can be manipulated algebraically the same way any other variable can be:

  x · x = x²

  cm · cm = cm²

Computing the volume in more steps, we have ...

  V = π(2 cm)²(3 cm)

  = π(2 cm)(2 cm)(3 cm) . . . . expanding the square term

  = π(2)(2)(3)(cm)(cm)(cm) . . . . we can rearrange the factors of a product

  = π(12)(cm³)

  = 12π cm³

lbvjy [14]2 years ago
7 0
<h3>Explanation -:</h3>

In this question we are provided with the diameter of the cylinder and height of the cylinder. We are asked to calculate the volume of the cylinder. As we know that volume of a cylinder = πr²h units³. In this formula r stand for radius h stand for height but we are provided with the diameter. So, first we will find the radius of the cylinder and then we will find the volume of the cylinder.

Let us solve this problem.

We know,

\small\boxed{ \rm{ Radius = \dfrac{diameter}{2}}}

Substituting the values we get

\small\sf{ Radius = \dfrac{4}{2} = 2  \: cm}

<u>Now we </u><u>will </u><u>calculate </u><u>the </u><u>volume</u>

\small \boxed{\sf{ Volume_{(cylinder)} = πr²h}}

Where,

  • r stand for radius
  • h stand for height

\small\bf{ Volume_{(cylinder)} = 3.14 × 2² × 3 }

\small\rm Volume_{(cylinder)} = 3.14 × 2 \times 2× 3

\small\rm{ Volume_{(cylinder)} = 37.68  \: cm ³}

  • Hence the volume is 37.68 cm³.
You might be interested in
FOIL<br> MULTIPLY AND SIMPLIFY <br><br> 4t(2t+7)(t−3)
lesya692 [45]
8 t ^ 2 + 4 t ^ 2 - 8 4 t
3 0
3 years ago
Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)
Cerrena [4.2K]

The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as g(x)=mx + b

  • m is the slope of the line
  • b is the y-intercept:

Using the coordinate points (3, 3.4), (4,2)

m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6

Get the required equation:

g(x)=mx+b\\g(x)=-1.4x+7.6

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

Learn more on equation of a line here; brainly.com/question/9351428

4 0
2 years ago
(3x + 10y 2-20<br> { 3x + 2y &gt; 4
dmitriy555 [2]

Answer:

Multiply each equation by the value that makes the coefficients of

x

opposite.

(

−

3

)

⋅

(

2

x

+

5

y

)

=

(

−

3

)

(

20

)

(

2

)

⋅

(

3

x

−

10

y

)

=

(

2

)

(

37

)

Step-by-step explanation:

8 0
3 years ago
What does b represent in the equation of a line in the form y = mx + b?
timama [110]
B is the y intercept.
7 0
3 years ago
Read 2 more answers
Which of the following would be the best method for investigating the correlation between the hibernation habits of bears and th
Andre45 [30]

Answer: Observational study

Step-by-step explanation: I just took the test

4 0
2 years ago
Other questions:
  • ) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase
    6·1 answer
  • Which similarity postulate or theorem can be used to verified that the two triangles shown below are similar? PLEASE HELP ASAPP
    10·1 answer
  • timmy writes the equation f(x) = x – 1. He then doubles both of the terms on the right side to create the equation g(x) = x – 2.
    9·1 answer
  • Should children be encouraged to develop their own algorithms
    6·1 answer
  • PLEASE HELP ASAP I AM TIMED NO GUESSING THANK YOUUU'<br> 4)
    7·1 answer
  • If six times a number is decreased by fourteen, the result is 124. What is the number
    5·2 answers
  • F it takes 14 cup of flour to make 16 of a cake, how many cups of flour are needed to make a whole cake?
    10·1 answer
  • 2. Find the area; reduce to lowest terms:<br> Length: 2 3/4 feet width 2/5 feet
    15·1 answer
  • A city bus driver says the number of miles to gallons of gas for his bus can be represented by the ratio 12 : 4. How many miles
    6·1 answer
  • Can u help me figure this out lol
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!