The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.

Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.

Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.

Answers

Answer 1

Answer:

A: 16[tex]\pi[/tex][tex]cm^{2}[/tex]

B: 112[tex]\pi[/tex][tex]cm^{3}[/tex]

C: 351.68[tex]cm^{2}[/tex]

Step-by-step explanation:

Answer 2

The cubic inches that can fill the cylinder is [tex]112\pi[/tex] and the decimal approximation 351.68 cm^3

The given parameters are:

Radius (r) = 4 cm

Height (h) = 7 cm

The area of the base

The area of the base is:

[tex]A = \pi r^2[/tex]

So, we have:

[tex]A = \pi *4^2[/tex]

[tex]A = 16\pi[/tex]

Hence, the area of the base is [tex]16\pi[/tex]

The cubic inches that can fill the cylinder

This is the volume of the cylinder.

So, we have:

[tex]V = \pi r^2h[/tex]

Substitute known values

[tex]V = \pi * 4^2 * 7[/tex]

[tex]V = 112\pi[/tex]

Hence, the cubic inches that can fill the cylinder is [tex]112\pi[/tex]

The decimal approximation

We have:

[tex]V = 112\pi[/tex]

Expand

[tex]V = 112 * 3.14[/tex]

Evaluate the product

[tex]V = 351.68[/tex]

Hence, the cubic inches that can fill the cylinder is 351.68 cm^3

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Related Questions

how many terms are in the expression 12+9 divided 3-2

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Answer:

4

Step-by-step explanation:

what is the area of a hexagon with each side equaling [tex]\frac{16\sqrt[]{3} }{3}[/tex]

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Hopefully this helped you enough , if it’s wrong I’m sorry.

please help me will give brainliest

Answers

Answer:

answer is 13/3

Step-by-step explanation:

1/12 x 4=1/3

1/3=m-4

m=1/3+4

m=1/3+12/3

m is 13/3

Answer:

Yeah it is 4.

Step-by-step explanation:

2а +3Ь — 5
b = a – 5

Answers

Answer:

a= -2b

Step-by-step explanation:

math.

Find side BC for the triangle shown (round to the nearest tenth).

Answers

Answer: 2.6 (rounded answer)

Step-by-step explanation: To solve for the side BC we can find the tangent (TAN) of 41 degrees. Since the tangent of an angle is equal to the opposite side over adjacent, we can set up an equation that looks like this, assigning side BC to be x:

tan(41)= x/16

0.1606567=x/16 <---- Use calculator to find tan(41)

0.1606567(16)=x/16(16) <---- Multiply each side by 16

2.5705071789=x

Plz help due tomorrow

Answers

Answer:

1. 2.19g + 0.59b + 1.49p

2. 6.57 + 1.77 + 2.98 = 11.32

Answer:

Part A.)   2.19g + 0.59b + 1.49p

Part B.)   11.32

Step-by-step explanation:

Part A.)  

basically they give you the price for each item in the upper description. Just use g,b,p in terms that they gave you

Part B.)

plug in the amount of fruit per pound for each matching variable

2.19(3) + 0.59(3) + 1.49(2) = 11.32

guys i need your hell with this question please help and show your work. will mark you brainliest please​

Answers

Your answer is A
Multiply the fractions

2. {At the grocery store, Marilyn bought 4 apples and 7 oranges. Select two ways she could write the ratio of apples to oranges.} {3. There are 12 inches in 1 foot. How many inches are in 12 feet?} {4. Alexa is making a bracelet using beads. She uses 1 red bead for every 5 silver beads. If she uses a total of 20 silver beads, how many red beads does she use?}* {5. Peter is assembling gift bags for his birthday party. For every two Hershey candy cars he puts in each bag, he puts 3 lollipops. He decides to put six Hershey candy cars in one bag. How many lollipops does he put in the same bag?} Whoever can answer these questions you are amazing!!! And I give you 50 points =D

Answers

Answer:

I'm really sorry I wish I could give you the right answer but maybe if you like put it in like different parts cause it's like I can't read it to sa jumbled up but I will answer you if you put it in different parts please

The shape has which of the following coordinates

Answers

Step-by-step explanation:

1a. ( 3, -4)

1b. ( 8, -2)

1c. ( 10, -10)

hope it helps!

A circular swimming pool is 40 inches in diameter. What is the circumference of the swimming pool?

Answers

Answer:

125.6 inches

Step-by-step explanation:

Diameter (d) = 40 inches

circumference (c)

= π * d

= 3.14 * 40

= 125.6 inches

Hope it will help :)

Answer:

125.6

Step-by-step explanation:

diameter= 40

40 x π = 125.6

40 x 3.14 = 125.6

Gianah lives in Milton. She brought a bus ticket to travel to her cousin's house in Orlando. She gets on the bus in Mobile. The distance between the two cities is 300 kilometers and the bus drives at 70 kilometers per hour. If the bus is 30 kilometers away from Orlando how many hours has the bus traveled.

Answers

Answer:

3.85 Hours

Step-by-step explanation:

If the bus is 30km away, it has driven 270km. If it drives at 70km per hour, then your answer will be shown with 270/70, which is 3.85

Do you still need help with this

The Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce. The mark-up rate is 75% of the cost to produce. What is the retail price?
$280
$770
$490
$210

Answers

Answer:

$490

Step-by-step explanation:

What is (-1) x (+8)

Answers

Answer:

-8 would be the answer

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

(-1)*8

-(1*8)

= -8

To rent a Jet Ski at Sam's it cost $25 plus $3 per hour. Write an equation that represents Sam's charges.

Answers

Answer:

total cost=3(x)+25

Step-by-step explanation:

In △ABC, AB=4, BC=5, and CA=6. In △EFG, EF=400, FG=500, and GE=600. Is △ABC similar to △EFG? If so, what is the scale factor

Answers

Answer:

similar, scale factor = 100

Step-by-step explanation:

all you have to do is devide the bigger number by the smaller number

Multiply each equation by a constant that would help to eliminate the y terms.

2 x minus 5 y = negative 21. 3 x minus 3 y = negative 18.

What are the resulting equations?

Answers

Answer:

multiply first equation with 3 and second equation with 5

Which measurement is closest to the circumference of a circle with an area of 36 square feet?
A
12.0 feet
B
21.3 feet
С
103.2 feet
D
113.0 feet

Answers

It’s D! Have a great day

The measurement of the circumference of a circle is 21.3 ft.

What is Circumference of Circle?

The circumference is the perimeter of a circle. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.

Here, given area of circle = 36 ft²

Area of Circle = πr²

           36 = 3.14 X r²

           r² = 11.46

          r = 3.38 ft.

Circumference of Circle = 2πr

                                       = 2 X 3.14 X 3.38

                                      = 21.25 ft. ≈ 21.3 feet

Thus, the measurement of the circumference of a circle is 21.3 ft.

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Solve the system of equations using the method of your choice

Answers

Answer:

(-3, -1); x = -3; y = -1

Step-by-step explanation:

-3x + 5y = 4; x + y = -4

solving via substitution

rearrange second equation: y = -x - 4

-3x + 5(-x - 4) = 4

-3x - 5x - 20 = 4

-8x -20 = 4

-8x = 24

x = -3

- 3 + y = -4

y = -1

(-3, -1)

Check

- 3 + -1 = -4

Helpppp pleaseeeeeee

Answers

A!!!!!!

Explanation: it is A because it is multiplication

Answer:

Its c=3d.

Step-by-step explanation:

Because you multiply d times 3 which equals 6.

PLEASE HELP ME!! THIS IS DIE TODAY PLZ HELP!!

Answers

Answer:

D

Step-by-step explanation:

7 x 6 = 42 divided by 2 21 + 7 x 5 = 35 divided by 2 = 17.5 + 10 x 7 = 70 = 108.5

Answer:

[tex]Area = 108.5 ft^{2}[/tex]

Step-by-step explanation:

Basic info you need to know first:

Area of a rectangle: length x heightArea of a triangle: 1/2 x base x height

Left triangle:

Base: 6Height: 7

[tex]\frac{1}{2} (6)(7)=\frac{42}{2}=21[/tex]

Right triangle:

Base: 7Height: 5

[tex]\frac{1}{2}(7)(5)=\frac{35}{2}[/tex]

Rectangle:

Length: 10Width: 7

[tex]10(7)=70[/tex]

Then add all the areas together

[tex]21+70+\frac{35}{2} =91+17.5=108.5[/tex]

And could u explain also pls

Answers

(2,-3)
(3,-6)
(6,-6)
(7,-3)

Because the rule is to make the y-value negative

CAN SOMEONE HELP I WILL GIVE BRAINLST PLEASE!

Answers

Answer:

Step-by-step explanation:

3.25 ........or  13/4

Ggggggggggggggggggggggggggggggggg

In a classroom of 30 students, in which 18 are girls and 12 are boys, what is the probability that two boys are selected without replacement by the teacher?

Answers

Answer:

about 4 out of 10

Step-by-step explanation:

Probabilities are used to determine the chances of events

The probability that two boys are selected is 0.1517

The given parameters are:

Boys = 12

Girls = 18

Total = 30

Given that the selection is without replacement, the probability that two boys are selected is:

p = 12/30 * 11/29

So, we have:

p = 0.1517

Hence, the probability that two boys are selected is 0.1517

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The scale that maps Figure A onto Figure B is 1:3 1 4 . Enter the value of x.

Answers

Answer:

6710.46x

Step-by-step explanation:

The solution is : the value of x is x = 9.75.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

You need to convert from mixed number to decimal number. To do this you can follow the steps shown below:

Step 1: You must divide the numerator of the fraction by the denominator of the fraction.

Step 2: Now you must add the quotient obtained to the Whole number part.

So, you get:

3 + 1/4

=3 + 0.25

= 3.25

Then, the scale image that maps "Figure a" onto "Figure b" is:

1: 3.25

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure a" by .

Therefore, you get that the result is:

x = 3 * 3.25

or, x = 9.75

Hence, The solution is : the value of x is x = 9.75.

To learn more on multiplication click:

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The slope and its opposite reciprocal slope form a _____ angle.

Answers

Answer:

90 degree

Step-by-step explanation:

I just know (I don't I just need points). : )

PLZ HELP ME WITH THIS draw this find the proportion 3/5 = 9/x

Answers

you multiply 3 by 3 to get 9 so if you multiply 5 by three you’ll get 15 so, x=15

Raul put 20 gallons of gas in his car. How much did Raul spend on gas?

Answers

Well if the average price of gas in the u.s. is around $2.00 so I think it would around $40.00.

I REALLY NEED HELP PLEASE
Frank is building a house. He is using plans an architect gave him. The house will be a dilation of these blueprints, using a scale factor of 100. A room measures 0.1 ft by 0.12 ft on the blueprints. How area of floor will he need to buy?
A) 120 square feet
B) 0.44 ft
C) 0.012 square feet
D) 44 ft

Answers

I think the answer is letter B

Write 3/15 3/7 3/21 3/8 3/11 in ascending order

Answers

Answer:

The sorted inputs in order from least to greatest is:

3/21 < 3/15 < 3/11 < 3/8 < 3/7

Step-by-step explanation:

Using the given inputs:

3/15 3/7 3/21 3/8 3/11

As the least common denominator (LCD) is: 9240

Rewriting as equivalent fractions with the LCD:

3/15                  3/7                       3/21                 3/8                     3/11

1848/9240      3960/9240       1320/9240        3465/9240        2520/9240

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

    3/21                3/15                 3/11                     3/8                  3/7

1320/9240  < 1848/9240 < 2520/9240  < 3465/9240   <   3960/9240

Therefore, the sorted inputs in order from least to greatest is:

3/21 < 3/15 < 3/11 < 3/8 < 3/7

Does (2,0) make the equation y = x true?

Answers

Answer:

No

Step-by-step explanation:

If you plug 0 into y and 2 into x 0 does not equal 2.

No it does not make it true
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