The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.

Answers

Answer 1

Answer:

73.2 cm³

Step-by-step explanation:

The volume of the cylinder without the prism is V" = volume of cylinder, V' - volume of rectangular prism, V

Volume of cylinder = πr²h where r = radius of cylinder = 2 cm and h = height of cylinder = 6 cm.

So, V = πr²h

= π(2 cm)²(6 cm)

= π × 4 cm² × 6 cm

= 24π cm³

= 75.4 cm³

V = volume of rectangular prism = Area of 0.6 cm square × height = L²h where L = 0.6 cm and h = height of rectangular prism = 6 cm.

So, V = L²h = (0.6 cm)² × 6 cm = 2.16 cm³

volume of the cylinder without the prism is V" = V' - V

= 75.4 cm³ - 2.16 cm³

= 73.24 cm³

≅  73.2 cm³

Answer 2

Answer:

Not an answer

Step-by-step explanation:


Related Questions

The Point ( 5 , − 2 ) is translated to the left 3 units. What are the new coordinates? (8, −2) (8, −2) (5, 1) (5, 1) (5, −5 (5, −5 (2, −2) (2, −2)

Answers

Answer:

Its (5 , 1 )

Step-by-step explanation:

because it is

Answer:

(2,-2) because the x axis goes from right to left and the y axis goes up and down

Step-by-step explanation:

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Answer is D 3/5n -7=-36

Answer:

4th option

Step-by-step explanation:

PLEASE HELP URGENT!!

An irregular polygon is shown below:

A: 21 Square Inches

B: 22 Square Inches

C: 26 Square Inches

D: 29 Square Inches

Answers

Answer:

[tex]26\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The irregular polygon is made of a large rectangle with two smaller rectangles cut out of it. Therefore, we can find the area of the large rectangle and subtract these two smaller rectangles:

[tex]10\cdot 5-2\cdot3\cdot4=50-24=\fbox{$26\:\mathrm{in^2}$}[/tex].

please hakdshfkasdjf;kajsd;kfjas;kdfjaksjdfklasjdfkljhklajsdflkajsdklfajskjd;hfjalsdf;asdkfj;aksfasdfad;s;fasdfddddddddddddddddddddddddddddddddddddddd

Answers

Answer: gtne

Step-by-step explanation:

Which type of function is shown in the table below?

Answers

Answer:

Linear function

Step-by-step explanation:

None of the X values repeat so its Linear

please help me it's in like 10 minutes..................

Answers

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

A circle has a radius of 14 units. What is the area in square units of the circle in terms of π?

Answers

Area of circle = pi r²

14²= 196

196 x pi = 196pi

Area = 196pi units²

Answer: 196

hope it helped

I NEED HELP REALLY BAD

Answers

The answer is 40 degrees.

can someone please help!!! pls do not comment to get points, i will report

Answers

Answer:

25) A 26) B 27) y=-3/5-6 28) y=-15/18+4 29) y=5/4+12 30) y=-4x+3

Step-by-step explanation:

25) the line perpendicular would have the equation of y=-1/4x+b. In A, I plug in those to coordinated and they both have b as equal to -2 so they are both in the same line.

26) Find the slope of those two points (-1). Parallel lines means same slope but different y-intercepts and only B has a slope of -1.

27) Substitute those two points into the formula equation y=mx+b and solve for b

28) Solve for the slope and then solve for b by substituting

29) Write that equation into slope intercept form (y=5/4x-1). Parallel lines has the same slope but different y-intercepts. Use that slope of 5/4 and substitute those coordinates

30) Write the equation into slope intercept form (y=1/4x-5). Perpendicular lines have opposite reciprocal slopes. Find the opposite reciprocal of that slope and then substitute those coordinates

Hopefully I was able to help

If x = 3 and y = 8 , evaluate the following expression: y − x

Answers

Answer:

5

Step-by-step explanation:

y-x

8-5 = 5

The value of the expression y - x is 5.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

y - x

The value of y - x when x = 3 and y = 8.

= y - x

= 8 - 3

= 5

Thus,

The value of the expression is 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The hypotenuse of a triangle is 37 millimeters long. One of the legs is 24.5 millimeters long. What is the measure of the missing leg? Round to the nearest tenth, if necessary.

Answers

Answer: 27.7 millimeters

Step-by-step explanation:

Let the missing leg be represented by x.

We will use Pythagoras formula to solve this. The measure of the missing leg will be:

x² = 37² - 24.5²

x² = 1369 - 600.25

x² = 768.75

x = ✓768.75

x = 27.7

The missing leg is 27.7 millimeter

You want to estimate how many fish there are in a pond. Suppose you cature 140 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 420 fish, of which 28 are tagged.

Answers

Answer:

2,100

Step-by-step explanation:

Calculation to Estimate the number of fish in the pond.

Estimated Number of fish=420 fish*140 fish/28

Estimated Number of fish=58,800/28

Estimated Number of fish=2,100

Therefore the Estimated number of fish in the pond will be 2,100

The total number of fish in the pond is 2100

Let y represent the total fish in the pond.

Data obtained from the question Tagged fish in pond = 140Captured fish = 420Captured tagged fish = 28Total fish = y =?

The estimated fish in pond can be obtained as follow:

Tagged in pond / Total in pond = captured tagged fish / Captured fish

140 / y = 28 / 420

Cross multiply

y × 28 = 140 × 420

y × 28 = 58800

Divide both side by 28

y = 58800 / 28

y = 2100

Thus, the estimated fish in the pond is 2100

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https://brainly.com/question/9583992

Somebody good at math please help me I’ll mark brainliest:)

Answers

Answer:

A

Step-by-step explanation:

A speck of dust is only milimeters large so its A

What is the image point of (5,1) after a translation right 5 units and down 2 units?

Answers

Answer:

(10,-1)

Step-by-step explanation:

If it shifts right, that means that the x is increasing

5+5 = 10

if it shifts down, that means the y is decreasing

1-2=-1

x= 10 y=-1

(10,-1)

HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ

Answers

hope it will help you.........

Answer:

UV=UZ+ZV

Step-by-step explanation:

UV=3y-5+2z+2

=3y+2y-3

but UV =27=3y+2y-3

30 =3y+2y

bisect means cut in to two equal parts so

3x+3=3y+6

3x-3y=6-3

3x-3y=3

then combine the two equation

30 =3y+2y this is 30=5y which is y=6

3 = 3x-3y so enter y=6 into this equation

3=3x-3*6

3=3x-18

3x=21

x=7


I really need help with this question thanks

Answers

Answer:

12.12

Step-by-step explanation:

SO its A special right triangle which means its. 30,60,90 triangle

we know the bigger leg is 14

so we divide that by 2 since

leg 1 = Unknown (y)

leg 2= 2y=14

Since leg 1 is basically half of leg 2, we divide leg 2 by 2 and get 7

now for the hypotenuse Its just y√3 so in this case y is 7

SO when solved 7√3 you’d get 12.12 rounded  

Which is the coefficient of the expression - 3a²c-7?
-7
-3
2
3

Answers

Answer:

-3

Step-by-step explanation:

:)

Please help with this math qs!!

Answers

Step-by-step explanation:

Find the radius: 6 ÷ 2 = 3m

Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m

Area = pi x 3cm x 3cm = 28.27m2

Given:

Diameter of circle = 6 m

The value of pi = 3.14

To be calculated:

Calculate the circumference and area of given triangle.

Formula applied:

Circumference of circle = 2πr

Area of circle = πr²

Solution:

Radius,r = diameter/2 => 6/2 = 3 m

( i ) As we know that formula of circumference,

Circumference of circle = 2πr

[tex] \bf \: \star \: putting \: the \: values[/tex]

[tex] \implies \: 2 \times 3.14 \times 3[/tex]

[tex] \implies \: 6.28 \times 3[/tex]

[tex] \implies \: 18.84 \: m[/tex]

(ii) As we know,

Area of circle = πr²

[tex] \bf \star \: putting \: the \: values[/tex]

[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]

[tex] \implies \: 3.14 \times 9[/tex]

[tex] \implies \: 28.26 \: m {}^{2} [/tex]

Solve: 8x+14y=4 6x+7y=10

Answers

Answer:

Therefore, x = 4 and y = -2.

Step-by-step explanation:

The steps are ;

[tex]8x + 14y = 4[/tex]

[tex]2(4x + 7y) = 4[/tex]

[tex]4x + 7y = 2 - - - (1)[/tex]

[tex]6x + 7y = 10 - - - (2)[/tex]

[tex](2) - (1)[/tex]

[tex]6x - 4x = 10 - 2[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

[tex]sub \: x = 4 \: into \: (1)[/tex]

[tex](1)⇒[/tex]

[tex]4(4) + 7y = 2[/tex]

[tex]16 + 7y = 2[/tex]

[tex]7y = - 14[/tex]

[tex]y = - 2[/tex]

Angel found out that sales tax in San Antonio Texas is 8.25% sales tax in Toronto Ontario is 13% if he brought a $600 phone and Toronto instead of San Antonio how much more will he pay in sales tax

Answers

Answer:

600/100 X 108.25= 649.5

600/100 X 113 = 678

678 - 649.50 = 28.50

$28.50

Best buy is having 20 percent off deals on TVs. if the TV cost $415 in total, how much would you pay with the discount? ​

Answers

Answer:

$332.00

Step-by-step explanation:

Graph y = 3/4x + 2
Im cray-zee for not knowing this lol

Answers

Answer:

*give credit to Desmos

Step-by-step explanation:

I found the answer on multiple sites but can somebody please help me with the explanation as I did not find that anywhere.

Answers

Answer:

Explanation thing

Step-by-step explanation:

The larger the angle, the farther the opposite side is .  (For example, the angle representing Dallas shows the rank of distance from Abilene and Austin)

anyone know how to work this out -2p-5=-37

Answers

-2p-5=-37
+5. +5
-2p=-32
Divide -2 on both sides
P=16

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds.

Answers

Answer: 17 seconds

Step-by-step explanation:

Here's the complete question:

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

First, we find the constant of proportionality which will be:

y = kx

where y = Distance; x = time

264 = 11k

k = 264/11

k = 24

The time in seconds the toy robot moves when the total distance is 408 centimeters will be:

y = kx

408 = 24x

x = 408/24

x = 17

Answer:

17 secs

Step-by-step explanation:

12.
Line ( is parallel to line m. Line 1 is a transversal
with angle measures as indicated below.
(3x + 42)
(5x – 22)
m
Note: The figure is not drawn to scale.
7 Pt
What is the value of x?

A 16
B. 20
C.25
D. 32

Answers

3x + 42 + 5x -22 = 180

8x + 20 = 180

8x = 180-20

8x = 160

Divide on both sides

X = 20

Answer is B

PLEASE HELP! Brainiest will be given to the right answer

Answers

Answer:

i think d or a

Step-by-step explanation:

need help ASAP

Write an equation in whatever form you choose with the given characteristics Perpendicular to y= -1/2x - 8 and passes through: (7. -6)​

Answers

Answer:

[tex]y+ 6 = 2 (x-7)[/tex]

Step-by-step explanation:

1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x - 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x - 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.

2) When you know a point that the line must pass through and its slope, you can use point-slope form ([tex]y-y_1 = m (x - x_1)[/tex]) to write an equation. [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for [tex]x_1[/tex], and -6 for [tex]y_1[/tex].

[tex]y-(-6) = 2 (x- 7)\\y + 6 = 2 (x-7)[/tex]

Tyler says he invented a number puzzle.



He asks Clare to pick a number, and then asks her to do the following:



Triple the number



Subtract 7

Double the result



Subtract 22



Divide by 6



Clare says her final answer is -3. Tyler says her original number she thought must have been 3.



How did Tyler know that? Explain or show your reasoning.

Answers

Answer:

Read this section of the text:

These raptors eat primarily flying insects, so they do most of their hunting on the wing.

What does primarily mean in this sentence?

Step-by-step explanation:

answer this. please.

Answers

Answer:

D

Step-by-step explanation:

I would say D because youre trying to find red and blue so green and brown dont matter to the problem. If 12÷6= 2 then. do 60÷2=30 so they can be drawn about 30 times

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