A cylindrical syringe has a height of 6.8 cm and a diameter of 2.37 cm is going to be
used to fill a half sphere (semi sphere) with a circumference of 31.4 cm. How many
syringes filled with water would be needed to fill the semi-sphere?
6.8 cm

Answers

Answer 1

Answer:

The number of syringe filled with water that would be needed to fill the semi-sphere is approximately 8.714 syringes

Step-by-step explanation:

The height of the syringe = 6.8 cm

The diameter of the syringe = 2.37 cm

The circumference of the hemisphere = 31.4 cm

Let r represent the radius of the hemisphere, we have;

2·π·r = 31.4 cm

r = 31.4/(2 × π) ≈ 4.9975 cm

The volume of the hemisphere = 2/3 × π × r³ = 2/3 × π × (31.4/(2 × π))³ ≈ 261.4 cm³

The volume of the syringe = π × d²/4 × h = π × 2.37²/4 × 6.8 ≈ 29.998 cm³

The number of syringe filled with water that would be needed to fill the semi-sphere = (The volume of the hemisphere)/(The volume of the syringe)

Therefore;

The number of syringe filled with water that would be needed to fill the semi-sphere = 261.4 cm³/(29.998 cm³) ≈ 8.714 syringes.


Related Questions

what is the LCM of 6,4,10

Answers

6 has a factor of 2 and 3

4 has a factor of  2

10 has a factor of 2 and 5

The LCM = 60

Answer:

60

Step-by-step explanation:

The LCM is the lowest common multiple, this means the smallest number that 6, 4 and 10 can go into without giving a decimal number, so they give an integer.

Here's a trick, use prime factorizationPrime factorization means, write a number as the result of the multiplication of prime numbers prime numbers are numbers with only two factors, 1 and itselfSo the prime factorization of 6, 4 and 10 is6 = 2 x 3 4 = 2 x 210 = 2 x 5For each prime factor, find where it occurs most often as a factor and write it that many times in a new list. So 2 occurs most often as a factor of 4, so we use two 2s3 occurs most often as a factor of 6, so we use one 35 occurs most often as a factor of 10, so we use one 5Then multiply this new list of numbers 2 x 2 x 3 x 5 = 60 that's how you quickly get the LCM

Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5 . What are the dimensions of the model bed she built?
0.8 foot × 1.2 feet
0.4 foot × 0.6 foot
0.08 foot × 0.12 foot
0.04 foot × 0.06 foot

Answers

Answer:

The first one

Step-by-step explanation:

1/5 =0.20

0.20 * 4 = 0.8 feet

0.20 * 6 = 1.2 feet

0.8 ft by 1.2 because You just have to divide 4’ x 5 and 6’ x 5

how to write "360.124" in expanded and exponential​ form

Answers

360.124 in expanded and exponential form is 300+60+1/10+2/100+4/1000

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

Exponential form- 300+60+1/10+2/100+4/1000

Expanded form- 300+60+1/10+2/100+4/1000 or Three hundred sixty and one two four.

Craig has made 60% of 80 free throw attempts this season. How many free throws has he made

Answers

Answer:

Step-by-step explanation:

80*60%= 48 free throws were made

Answer: 48

Step-by-step explanation:

80x 0.01=0.8

0.8x 60=48

You are presented with 9 coins from an archeological dig near the highlands of Tibet. One of them contains a precious jewel that can make you extremely wealthy. The coin with the jewel is slightly heavier than the others, the other eight are identical. You can only choose once so you are given 2 scales so that you can weigh the coins. Here’s the dilemma, each balance scale can only be weighed once. Is it possible to select the slightly heavier coin containing the jewel using each of the two scales only once? Explain why or why not

Answers

Answer:

no

Step-by-step explanation:

Which of the following statements must be true to prove that lines p and q are parallel?
Question 16 options:

A)

∠4 ≅ ∠6

B)

∠1 ≅ ∠7

C)

∠2 ≅ ∠7

D)

∠1 ≅ ∠4

Answers

Answer:

B.

Step-by-step explanation:

sorry if it didn't work

Answer:

B

Step-by-step explanation:

DESCRIBE PRINCIPAL ROOTS AND TELLS WHETHER THEY ARE RATIONAL OR IRRATIONAL?
TANONG MO SA NANAY MO NANG NASAGUTAN MO BRUH​

Answers

Answer:

The principal roots are rational numbers

Step-by-step explanation:

Principal roots :

The principal root is determine if the radicand  is a perfect n t h power of a number then the root is rational.

Therefore the principal root is a rational number

Examples of a principal root

a)   √4 = 2

b)    [tex]\sqrt{0.81} =0.9[/tex]

c)  [tex]\sqrt{\frac{9}{36} } = \frac{\sqrt{9} }{36} = \frac{3}{6} = \frac{1}{2}[/tex]

Write the expression 5X(X + 9) - 7(x + 9) in complete factored form.
A (x+9)(x + 9)
B. (5x-7)(x + 9)
C. (5x-7)(x+9)(x + 9)
D. (5x2 + 45X)(-7x - 63)​

Answers

Answer:

B

Step-by-step explanation:

Jalaaalalaalalalaal

Answer: B

Step-by-step explanation:

just passed

Write an equation of the line passing through the point (6, 4) that is parallel to the line y= 8x+12

Answers

Answer:

y= 8x + 4


Steps:

parallel: same slope

m= 8 and y-intercept= 4

y= mx + b
y= 8x + 4

The Sundown Parking Garage charges $5.00 to park a car . What is the total charge for parking a car for 4 hours in this garage?

Answers

Answer:

20 dollars

Step-by-step explanation:

5.00 x 4 = 20

$20
because it’s $5 for 1 hour then you multiply by 4 to get to 4 hours and 5x4=20

Jeff is shopping for a new T-shirt at a clothing store. The graph shows the total price for the shirts depending on how many T-shirts Jeff buys. What is the price of seven T-shirts?

Answers

Where is the graph??? How I’m I supposed know where the graph is

Answer:

$63 is the answer to this problem

PLEASE ANSWER 25 points!!!!!! I will also give a brainiest if you answer it right!!!!!!!
Describe a situation in the real world, where at least three types of science would be used to solve a problem. Use details to support your answer.

Answers

Answer:

Running

There are many different types of science that go into running, including the following:

Psychology (think you can/can't do it, how tired you are, how much further you can go/how much further you think you can go, dissociating and distracting,  associating and motivating, etc.)

Physiology (how fit one is, training, etc.)

Nutrition (food/drinks that are put into one's body, vitamins, etc.)

Physics ("The greater the force Fx, the greater the horizontal running velocity, and the longer the arc length, hence the faster the runner will run. Arm swinging is an important part of running. It serves to stabilize the body" - Real World Physics Problems (.com))

Newton's Three Laws (gravity, inertia, friction, net force exerted, equal and opposite reactions, etc.)

Biology (Chemical balance in your blood)

And more!

And remember: everything connects with something else, for example, nutrition can connect with all of the things on this list (yes, even phycology and physics). Hope this helps! :-)

Which of the four Venn diagrams represents this? ​

Answers

Answer:

A i think

Step-by-step explanation:

....... X U Y

means x united y

which is both x and y

Here, Option D is the right answer in the given Venn diagram.

What is Venn diagram?

A Venn diagram is a diagram that represents the logical relation between two or more sets.

Y' represents everything except Y inside the box.

When we do X ∪ Y', it will represent the total area inside the box where only Y is not there.

Hence, Option D is right answer.

Learn more about Venn diagram here: https://brainly.com/question/17013941

#Tag #SPJ2

Jose wants to purchase a bike that costs $224. He currently has $104 and earns $20 per hour as a math
tutor. He uses the inequality 20h + 104 2 224, where his hours, to model the number of hours he must
work to afford the bike.
What is the least number of hours Jose can work and still afford the bike?

Answers

Answer:

what?

Step-by-step explanation:

How many 3/8's are in 6?

Answers

Answer:

That is 6 divided by 3/8, better written as

6

--

1

====

3

--

8

Invert the 3/8 and then multiply:

6      8

-- *   ---

1       3

Reduce 6/3:  6/3 = 2

Then you have 2(8), or 16 (answer)

Answer:

There are 16 3/8's  in 6

Step-by-step explanation:

6/1 divided by 3/8

Invert the 3/8 and then multiply

6/1 times 8/3

Reduce 6/3:  6/3 = 2

answer: 16

Leda is grouping 895 dimes into rolls of 10 dimes. How many rolls will she have? How many extra dimes will there be?

A. 8 rolls, 5 extra dimes

B. 40 rolls, 5 extra dimes

C. 89 rolls, 5 extra dimes

D. 800 rolls, 9 extra dimes

Answers

c. 89 rolls 5 extra dimes

James paid an initial fee of $6.00 for a movie rental service. Each time he rents a movie he is charged $2.00. Sarah uses a different movie rental service that charges based on the equation y = 3x + 4, where y is the total cost and x is the number of movies rented. At what point are the prices of the two services the same?

Answers

Answer:We'll call the number of movies you rent \begin{align*}x\end{align*} and the total cost of renting movies for a year \begin{align*}y\end{align*}. ... pay per year and the rental fee is the dollar amount you pay when you rent a movie. ... The lines cross because the price of rental per movie is different for the two ...

can i get brainliest now

Step-by-step explanation:

Answer:

The prices of the two services are the same when two movies have been rented

Step-by-step explanation:

We can figure out at what point the two services cost the same by using the y=mx+c formula

James:

y=2x+6

Sarah:

y=3x+4

We then figure out at what point are the two services the same by making the equations equal each other and then solve from their

3x+4=2x+6

3x+4-2x=2x+6-2x

x+4-4=6-4

x=2

Therefore the price of the two services are the same when 2 movies have been rented

If mLP = 17 in., and mNP = 4 cm, mLN = ____ ??

Answers

Answer: 13

Step-by-step explanation: 17-4=13

2343566777765x646778009886554
Will Mark As BRAINLIEST

Answers

Answer:

1.5157675e+27

Step-by-step explanation:

Answer:

1.5157675e+27

Step-by-step explanation:

hopefully, you know what that number is

Pls i need help with this geometry problem. Its due today .

Answers

Answer:

63

Step-by-step explanation:

Set up the proportion

(6x+3)/17 = (8x - 1)/21                 Cross Multiply

21 * (6x + 3) = 17 (8x - 1)             Remove the brackets

126x + 63 = 136x - 17                 Subtract 126x from both sides

63 = 136x - 126x - 17                 Combine

63 = 10x - 17                              Add 17 to both sides

63 + 17 = 10x                             Combine the left

80        = 10 x                             Divide by 10

80/10 = x

x = 8

Now you want 8x - 1

8*8 - 1 = 63                

Eric wants to send a package to his mother. If he chooses UPS, the fixed express fee is 10 dollars and each kilogram costs 2 dollars. For Fedex, the fixed fee is 20 dollars and each kilogram costs only 1 dollar. If the total costs of the two options are the same, how many kilogram of package does Ericsend? Write a system of equations in order to solve this problem.

Answers

Answer:

10kg

Step-by-step explanation:

For UPS;

express fee = $10

If one kg costs $2, then x kg of package will coat $2x

Total cost of shipping xkg of package will be 10+2x

For FedEx;

Fixed express fee = $20

If one kg costs $1, then x kg of package will coat $1x

Total cost of shipping x kg of package is 20+x

If the total costs of the two options are the same, then;

10+2x = 20+x

2x-x = 20-10

x = 10.

Hence Eric sent 10kg of package

The pet store has sold 5 dogs to every 2 cats during the month of September. If the pet store sold a total of 35 dogs and cats during the
month of September how many dogs did they sell?

Answers

Answer:

28

Step-by-step explain:

sold 5 dogs to every 2 cats

35-5-2=28

35 - 5 = 30

30-2=28

      2 cats5 dogs          

A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides

Answers

Answer:

Look at the picture

Step-by-step explanation:

For 0 rise it would just be eight dollars

A triangle has side lengths that are 8 cm, 15 cm, 17 cm. Is this a right triangle?

Answers

Answer: A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.

Step-by-step explanation:

A triangle has side lengths that are 8 cm, 15 cm, 17 cm. Is this a right triangle? A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.

Scientists notice structural similarities between fossils of a land animal and an aquatic organism. They know the similarities are not a result of the two organisms having to adapt to similar environments. What can they attribute the structural similarities to?
convergent evolution
common ancestry
transitional evolution
similar mating habits.

Answers

Answer: B common ancestry

Step-by-step explanation: .

Answer: B.

Step-by-step explanation:

Beth enlarged the triangle below by a scale of 5.

A triangle with a base of 4 centimeters and height of 3.5 centimeters.


She found the area of the enlarged triangle. Her work is shown below.

One-half (4) (3.5) (5) = 35 centimeters squared

What was Beth’s error?

Answers

Answer: She should have multiply each of the sides the scale value before multiplying to find the area.

Step-by-step explanation:

They are two sides to the triangle which is the base and the height  and each side have a different length so you will have to first multiply each side length by the scale value to find the new length of the enlarged triangle.

base:  4 *5 = 20

height :  3.5 * 5 = 17.5

Now since the base is 20 cm and the height is 17.5 cm you will use the area of a triangle formula to solve for the area.

A = 1/2* b * h

A = 1/2 * 20 * 17.5

A =  10* 17.5

A = 175  

or she could have multiply 35 which is the number he obtained by another 5 to find the area.

Answer:

c i think not sure sorry

Step-by-step explanation:

Please help.... :(
Of the 15 cars in a parking lot, 5 are green, 2 are gold, and the rest are black. What are the odds against the next car leaving the lot being black?
A. ) 8:15
B. ) 7:15
C. ) 7:8
D. ) 8:7

Answers

A
Let me know if it was right!

Answer: The answer is 8:15

Step-by-step explanation:

What is the slope?


WILL MARK BRAINLIEST!! !!
(picture included ^^^^)

Answers

Answer:

answer 3

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

slope is rise over run

point at (0,-4) and (2,1)

At Kennedy High School, the probability that a student takes Technology and Spanish is
0.087. The probability that a student takes Technology is 0.68. What is the approximate
probability that a student takes Spanish given that the student is taking Technology?

Answers

0.13

Explanation:

P(B|A) = P(A and B) / P(B)

P(spanish|Technology) =  0.087/0.68 = 0.1279 ~ 0.13

The probability that a student takes Spanish given that the student is taking Technology is; 0.13

To solve this, we need to understand Baye's theorem of conditional probability which is;

P(A|B) = P(AB)/P(B)

Where;

P(A|B) is the probability of A given that B is true

P(AB) is probability of A & B

P(B) is probability of B

We are given;

P(A student takes technology) = 0.68

P(student takes both technology and Spanish) = 0.087

Applying Baye's theorem, we have;

P(that a student takes Spanish given that the student is taking Technology) = 0.087/0.68

P(that a student takes Spanish given that the student is taking Technology) = 0.13

Read more at; https://brainly.com/question/15289416

I need help with solving this problem please!!! I will give brainliest if correct

Answers

Answer:

Congruent angles

Step-by-step explanation:

The 2 angles are Corresponding angles and are congruent

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