A cylinder has a height of 20 centimeters and a diameter of 38 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf 22670.80 \ cm^3}[/tex]

Step-by-step explanation:

Height = h = 20 cm

Diameter = d = 38 cm

Radius = d / 2 = 38 / 2 = 19 cm

Volume of cylinder:

[tex]= \pi r^2 h\\\\= (3.14)(19)^2(20)\\\\= (3.14)(361)(20)\\\\= 22670.80 \ cm^3\\\\\rule[225]{225}{2}[/tex]

Answer 2

Solution:

Given:

Height of cylinder = 20 cmDiameter of cylinder = 38 cm

First, let's find the radius of the cylinder as the radius of the cylinder is included in the formula.

[tex]\text{Diameter = 2(Radius)}[/tex]

[tex]\text{Radius} = \dfrac{\text{Diameter}}{2}[/tex]

[tex]\text{Radius} = \dfrac{38}{2}[/tex]

[tex]\text{Radius} = 19 \ \text{cm}[/tex]

Recall that the volume of a cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.

[tex]\pi r^{2} h = \text{Volume of cylinder}[/tex]

[tex](\pi)( r^{2})( h) = \text{Volume of cylinder}[/tex]

[tex](3.14)( 19^{2})( 20) = \text{Volume of cylinder}[/tex]

[tex]\boxed{22670.8 \ \text{cm}^{3} = \text{Volume of cylinder}}[/tex]


Related Questions

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

36.8%

Step-by-step explanation:

formula to find percent increase: (|old-new|)/old *100

|95-130|/95 *100

36.8%

solve x over -3 = -15

A. 5
B. -45
C. -5
D. 45​

Answers

Answer:

45

Step-by-step explanation:

Mrs. Baker drove 450 miles on a trip she took last summer. Her car's gas tank holds 15 gallons of gas and she gets 25 miles to the gallon on long trips. How many tanks of gas did she use on her trip?

Answers

Answer:

..........

Step-by-step explanation:

Find A1 in a geometric series for which sn=3045,r=2/5, and an=120

Answers

Answer:

a = 1875

Step-by-step explanation:

Sum of geometric series formula:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Geometric series formula:

[tex]a_n=ar^{n-1}[/tex]

Given:

[tex]S_n=3045[/tex][tex]r=\dfrac25=0.4[/tex][tex]a_n=120[/tex]

[tex]\implies 120=a(0.4)^{n-1}[/tex]

[tex]\implies a=\dfrac{120}{(0.4)^{n-1}}[/tex]

[tex]\implies 3045=\dfrac{a(1-0.4^n)}{1-0.4}[/tex]

[tex]\implies 3045=\dfrac{a(1-0.4^n)}{0.6}[/tex]

[tex]\implies 1827=a(1-0.4^n)[/tex]

[tex]\implies a=\dfrac{1827}{1-0.4^n}[/tex]

Equate equations for a:

[tex]\implies \dfrac{120}{(0.4)^{n-1}}=\dfrac{1827}{1-0.4^n}[/tex]

Apply exponent rule [tex]a^{b-c}=\dfrac{a^b}{a^c}[/tex]

[tex]\implies \dfrac{120}{\frac{0.4^n}{0.4^1}}=\dfrac{1827}{1-0.4^n}[/tex]

[tex]\implies \dfrac{48}{0.4^n}=\dfrac{1827}{1-0.4^n}[/tex]

[tex]\implies 48(1-0.4^n)=1827(0.4^n)[/tex]

[tex]\implies 48-48(0.4^n)=1827(0.4^n)[/tex]

[tex]\implies 48=1875(0.4^n)[/tex]

[tex]\implies 0.4^n=\dfrac{48}{1875}[/tex]

[tex]\implies 0.4^n=0.0256[/tex]

Taking natural logs:

[tex]\implies \ln0.4^n=\ln0.0256[/tex]

[tex]\implies n\ln0.4=\ln0.0256[/tex]

[tex]\implies n=\dfrac{\ln0.0256}{\ln0.4}[/tex]

[tex]\implies n=4[/tex]

Substituting found value for n into one of the equations and solving for a:

[tex]\implies a=\dfrac{120}{(0.4)^{4-1}}[/tex]

[tex]\implies a=\dfrac{120}{0.4^3}[/tex]

[tex]\implies a=\dfrac{120}{0.064}[/tex]

[tex]\implies a=1875[/tex]

hello brainly team I need help ​

Answers

Question #1 Answer:

B. Square

Explanation:

There are numerous different types of squares in the world. A parallelogram with four congruent sides and four right angles is called a quadrilateral. There are two sets of parallel sides and four right angles in a square, so it is also a rectangle. Because the sides of a square are parallel, it is also a parallelogram.

Question #2 Answer:

D. I and IV

Explanation:

[tex]The\ statement\ is\ always\ true\ is\\ I\ All\ square\ is\ a\ rectanjile\ and\ IV\ Any\ two\ opposite\\ -sides\ of\ a\ perallelogran\ are\ parallel[/tex]

[tex]So\ Chase\ D[/tex]

{[tex]{A\ souare\ is\ a\ special\ rectangle[/tex]

Question #3 Answer:

B. 500 cm²

Explanation:

Calculate area of the rectangle:

[tex]\curvearrowleft\\ area=500[/tex]

I hope this helps you

:)

Was the caste system a fair system based on religious beliefs or was it a social
structure that promoted inequality?
I really need help!!!

Answers

it was a social stratification

Want Money. Answer thisss below.

Answers

Answer:

2.3

Step-by-step explanation:

Identifying the Error
Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.

What is the error in Aaron’s reasoning?
The commutative property is not true for addition.
The negative signs were switched.
The numbers are not in the correct order.
The associative property was used.

Answers

Answer:

The negative signs were switched. This is the answer.

Solve 23 x 105.
23,000,000
230,000
23,000
2,300,000

Answers

Answer: 105 x 23 is 2,415.

What is 4 ×−1∙(−3)×(−5) = Because I need it like rn.

Answers

Answer:

should be 4x+5*(-3)^x

Step-by-step explanation:

Multiplying two neg equals a positive

any expression multiplied by 1 stays the same

use commutative property to reorder the terms

Answer:

-60

Step-by-step explanation:

Yeah, of course!.

Step one: Breaking the problem into different problems is probably the best!

Step two: 4× (-1) is simple multiplication, any number multiplied by 1 is always the number. 4 multiplied by 1 is always 4, but there is a negative sign in front of the 1, so that means we have to go into the positive an negative rules, final answer is 4 for that step.

Then were going to ignore the multiplication sign for now.

Step three: (-3) times (-5) is 15 but we have to look at the rules of positives and negatives, a negative plus a negative is a positive. So its 15.

Step four: Multiply the two answers (4 times 15) is 60. Now were going to add our negative sign because a positive plus a positive number is a negative.

Hope this helped! :)

Suppose that ∠BNR and ∠RNA are adjacent angles where m∠BNR=12w-19,
m∠RNA= ¼(w+199), and m∠BNA=2(12w-19).
What is the value of W

Answers

Answer:

Step-by-step explanation:

Sum of interior adjacent angle is 180 degrees.

Given  

m∠BNR=12w-19,

m∠RNA= ¼(w+199)

m∠BNA=2(12w-19).

Substitute

m∠BNR+m∠RNA=

¼(w+199)+12w-19, = 2(12w-19).

W+796+48W-76 = 96W-152

49W-96W = -152+76-796

-47W = 872

W = 872/47

W = 18.55

Simplify by using fractional exponents.

[tex]\sqrt[3]{x^{2} }[/tex]

Answers

Answer:

[tex](x^2)^\frac{1}{3}[/tex]

Step-by-step explanation:

1). [tex]\sqrt[n]{x}[/tex] = [tex]x^\frac{1}{n}[/tex]

How does a dilation affect the side lengths and angle measures of a figure?

Answers

After the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.

What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.

Given is to find how dilation affect the side lengths and angle measures of a figure

Assume that the initial length of the figure

After the dilation, the coordinates will become -

(x, y) → (Kx, Ky)

Where {K} is the scale factor by which the image is dilated.

The angles after the dilation remain same.

Therefore, after the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.

To solve more questions on dilation, visit the link below -

brainly.com/question/2859427

#SPJ1

Which expression is equivalent to (2 cubed) Superscript negative 5?.

Answers

The expression which is equivalent to (2³)^-5 is; 1/(2)^15.

Which expression is similar to (2³)^-5?

By the law of indices, it follows that exponents as that given in the task content can be evaluated as follows;

(2³)^-5

= (2) ^(3×-5)

= 2 ^(-15)

Hence, the expression can be rewritten as; 1/(2)^15.

Read more on indices;

https://brainly.com/question/8952483

#SPJ1

Answer:

a

Step-by-step explanation:

i did the test

At McCord Middle School, 200 students rode their bike or walked to school. This is 40 percent of the total student body. How many students attend McCord Middle School?


HURRY N' ANSWER I GIVE BRAINIEST !!!!

Answers

Step-by-step explanation:

500 hundred students attend McCord Middle School.

Answer:

the answer is C: 500 students

Step-by-step explanation:

Make a number line and mark the points that represent the following values of x. 10∙x=0

Answers

The point on a number line is the location of the point.

How to draw the number line

The points are given as:

x = 10 and x = 0

This means that we mark a point at the point 10 on the number line, and another point at the point 0 on the same number line

However, the point 0 would come before point 10 because 0 is less than 10

See attachment for the number line

Read more about number lines at:

https://brainly.com/question/10851163

pls help! i need to know the slope of the graph! will give brainliest to best explanation

Answers

Answer:

1200

Step-by-step explanation:

Help please, brainliest if you answer in less than 5 minutes!

Answers

Answer:

A and C

Step-by-step explanation:

Lawson: 5x3=15

Rhett: 4x4=16

Wynn: 5x3=15

Please help me if you can and thank you :)))​

Answers

Answer:

$1920

Step-by-step explanation:

12800 X 0.15 = 1920

PLEASE HELP OMG I NEED THIS ASAP

Answers

Answer:

45

Step-by-step explanation:

To find area, it's length * width. the length is 5 and the width is 9, so you would do 5*9=45

A customer in Indiana buys 4 bags of Gone Bananas treats for $8.99 each. The sales tax in Indiana is 7%. What is the total cost of the order?

Answers

4 x 8,99 x 1,07 = £38,48

please help I need this asap

Answers

a os is correct.....,,..................

Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the following information:


Day 1 4 students


Day 2 9 students


Day 3 5 students


Day 4 7 students


Day 5 6 students


What data would be on the horizontal axis?


a. names of the students wearing the blue shirts

b. the exact color of the blue shirt

c. school day

d. number of students wearing blue shirts

Answers

Answer:

d. number of students wearing blue shirts

Pls help i need it!!!

Answers

Answer:

there were rivalries between African leaders.

Step-by-step explanation:

A company fabricates cast concrete cylindrical columns for a new pavilion.The columns are 3 meters tall and have a radius of 0.6 meters.What is the approximate surface area of a single column?

Answers

Answer:

The answer is 13.57m^2

Step-by-step explanation:

On Edmentum I got it right.

help me please thank you​

Answers

18

RS = BC

19

angle A = angle Q

20

                                       real              blueprint

we know                           45                     9                       width

we're looking for              70                     n

45 x n = 70x 9

n = 630 : 45 = 14

=> 14 in

#18

Just observe the naming you can answer without seeing the diagram even

∆ABC~∆QRS

RS is at end so it is similar to BC

Option D.

#19

<A~<Q

Option B

#20

Let that be x

Ratio remains same

[tex]\\ \tt\hookrightarrow \dfrac{45}{70}=\dfrac{9}{x}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{9}{14}=\dfrac{9}{x}[/tex]

[tex]\\ \tt\hookrightarrow x=14in[/tex]

Option D

which expressions are equivalent to 1/9

Answers

[tex]Answer:[/tex]

2/183/274/36etc.

The line stops at 100/900.

Hope this helps, have a great day! ♣

Divide 66 chocolates between arun and vikasin the ratio 7:4

Answers

Answer:

hello

7 + 4 = 11

arun = 66 x 7/11 = 42

vikasin = 66 x 4/11 = 24

Step-by-step explanation:

Arithmetic and geometric sequences plato/edumentuM

Answers

Answer:

A

Step-by-step explanation:

tank 2 goes down by a constant difference : -40

(7X^3+4X^2+3X+2) + (2X^2+X+5)

Answers


→(343x+16x+3x+2)+(4x+x+5)
→(362x+2)+(5x+5)
→(362x+2)+5(x+1)
or,
→362x+2=0
→x=2/362
=0.0055
then added This→0.0055+5(x+1)
answer:5.005(x+1
)
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