In a game, each participant has to carry water with a small hemispherical container of radius 3 cm, and then pour the water into a larger hemispherical bowl of radius 9 cm. Find the least number of times a participant must carry water so that the larger bowl is fully filled.​

Answers

Answer 1

Answer:

81 times

Step-by-step explanation:

The problem is essentially asking for the volume of the two hemispheres. Once the volume of the two hemispheres are found, we can divide the larger hemisphere by the smaller one. That will give the amount of times the smaller volume fits into the larger volume.

The volume of a hemisphere is the volume of a sphere divided by 2. Therefore, the volume of the smaller hemisphere is:

[tex]v = \frac{1}{2} (\frac{4}{3} \pi {r}^{3} )[/tex]

[tex]v= \frac{1}{2} (\frac{4}{3} \pi {3}^{3} )[/tex]

[tex]v = 6\pi[/tex]

The volme of the larger hemisphere is:

[tex]v = \frac{1}{2} ( \frac{4}{3} \pi {9}^{3} )[/tex]

[tex]v = 486\pi[/tex]

Then:

[tex] \frac{486\pi}{6\pi} = 81[/tex]


Related Questions

Directions: Each of the following sets are similar real-life situations. Solve these problems accurately using the appropriate combinatorics.

1. You are tasked to take pictures of Dan, Ben, Yla, Jun, and May taking three of them at a time. How many possible ways can you photograph them completely?

2. You are tasked to choose three of your classmates from Dan, Ben, Yla, Jun, and May to be your group mates. How many possible groups will you have?

please my Question}:‑)​

Answers

[1] 60 possible ways

There are 5 people with 3 "spots."

      We can use the following formula to solve for the possible ways that they could be photographed. This calls for a "permutation."

-> n is the total number of people, 5

-> r is the sample, 3, we are taking a picture of at a time

n! / (n−r)!

5! / (5−3)!

5! / (2)!

120 / 2

60

[2] 10 different groups

There are 5 people with 3 "spots."

      We can use the following formula to solve for the possible combinations your group mates could end up being. This calls for a "combination."

-> n is the total number of people, 5

-> r is the sample, 3, we are taking 3 people to be a part of our group at a time

n! / (r!(n−r)!)

5! / (3!(5−3)!)

5! / (3!(2)!)

5! / (3!(2)!)

120 / 12

10

Judy uses 9.7 pints of blue paint and white paint to paint her bedroom walls.3/5
of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer:

3.88 Pints

Step-by-step explanation:

First we need to find the amount of blue paint that was used. We can do that by multiplying 9.7 by 0.60 since that is 3/5 in decimal form

[tex]9.7*0.60=5.82[/tex]

Now we know how much blue paint was used, now we just need to find how much white paint was used. We can do that by subtracting our amount of blue paint from the total amount of paint used

[tex]9.7-5.82=3.88[/tex]

thus, 3.88 is the amount of white paint used

Which of these statements does the graph show? Check all that apply.

Answers

the first one and the last one.

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

y – 9 = –6(x – 3)
y + 9 = –6(x + 3)
y – 3 = –6(x – 9)
y + 3 = –6(x + 9)

Answers

Answer:

y+3= -6(x+9)

Step-by-step explanation:

Slope is represented as M

Name the numbers in bracket as y1 and x1

You have to use the formula which is:y-y1=m(x-x1)

Then you substitute the numbers into the formula

y--3=-6(x--9)

when two negatives meet the turn to positive

thats how we can conclude that the answer is y+3=-6(x+9)

Brody has a collection of 300 basketball and baseball trading cards. He has 180 baseball cards.

Answers

Answer:

The answer is  300 - 180= k

Step-by-step explanation:

Hope that helps!


I spent $370 for a membership. It cost $50 to join and $20 a month. Write and Solve an equation for how many months I went?

Answers

Answer:

here

Step-by-step explanation:

use Gauth    Math

source given:

$370 for a membership

cost to join: $50

370 - 50  = 320

Now, 20 a month

A month comprises of 4 weeks

A year comprises of 12 months

so,

12 X 20 = 240

320 - 240 =    $120

remaining, $120

20 = 1 month

120 = 6 months

18 months???

I am not sure if this is correct, but hope it helps.

Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus spells a word correctly and has the opposite score. Which is the correct way to represent “the opposite of Liliana’s score is equal to Marcus’s score”?
Negative 18 = 18
Negative (negative 18) = negative 18
Negative (18) = negative 18

Answers

Answer:

Well if Liliana loses 18 points and Marcus get the correct one and gains 18 points

Step-by-step explanation:

So basically it's going to be negative because its saying what is the opposite of Liliana's core but in reverse order

What is the answer for this question?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I just took an assignment on this

!!50 POINTS!!
Answer quick as possible!

Answers

Answer:

i think its c

Step-by-step explanation:

(12.4×10
−4+4
.(1.5×10
4
)

Answers

Answer:

answer is 18096.

Step-by-step explanation:

12,4×10=124

124-(4+4)=124-8=116

(1,5×104)=156

116×156=18096

Can someone please help me?

Answers

Answer:

[tex]\pi \times 4 \times 9 = 113 \\ 4 \times \pi = 12.5[/tex]

You estimate that there are 52 marbles in a jar. The actual amount is 88 marbles. Find the percent error. Round to the nearest
tenth of a percent if necessary.

Answers

Answer:

40.9%

Step-by-step explanation:

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?

Answers

Answer:

answer is D

Step-by-step explanation:

y + 1 = 3(x + 1)

help me thank u alot <333

Answers

Answer:

N~U

P~V

Q~S

R~T

(im confused on the second picture, give me time to figure it out)

Step-by-step explanation:

I need help with rates ratios and properties. ​

Answers

Answer: 13:15

26:30

39:45

52:60

Step-by-step explanation:

Answer:

26 : 30

52 : 60

65 : 75

Step-by-step explanation:

15 x 2 = 30

13 x 2 = 26

26 : 30

15 x 4 = 60

13 x 4 = 52

52 : 60

15 x 5 = 75

13 x 5 = 65

65 : 75

Hvae an amazing day!

PLEASE RATE!!

What is the slope of the line on the graph?

Answers

The slope is equal to [tex]\frac{y2-y1}{x2-x1}[/tex]

That means we need two points --> (0, 4) and (6,2)

Now let us plug it into our equation: [tex]\frac{2-4}{6-0} =\frac{-2}{6} =-\frac{1}{3}[/tex]

Thus the slope is -1/3

Hope that helps!

PLEASE HELP ITS DUE THIS SUNDAY
its okay if you don't know the answer

Answers

Answer:

109.25 the answer is 109.25 you can right this or 109 1/4

1- The radius of a circle is equal to 12 cm. Find the length of the longest chord of the circle ?

2- Name the polygon whose perimeter is 35 cm and length of its side is 7 cm.


Please help me in this asp i need all the steps

Answers

Answer:

1. Longest chord is the diameter. Then answer is diameter is 12 and the radius is 6 CM.

In the diagram, what is the value of x?

Answers

Answer:

i believe its C

Answer:

D

......

.....

....

.....

...

Translate each sentence into an equation.
15. Fifty-three plus four times
c is as much as 21

Answers

Answer:

53+4c=21 = 53 + 4 x c =21

Step-by-step explanation:

Please look at the picture and answer it. Thank you.

Answers

Answer: 140

Step-by-step explanation:

As you can see the angles are identical which means both sides are 140!

Need help solving this problem

Answers

Answer:

Step-by-step explanation:

q is TFTF

~q use negation, not q so is the opposite of q : FTFT

p↔~q use biconditional ,and will be True only is both statements are T or both are F

p values are TTFF ↔~q values are FTFT : FTTF

(p↔~q )∧~q use conjunction, that is True only if both statements are T

(p↔~q ) values are FTTF ∧~q values are  FTFT : FTFF

(p↔~q )∧~q → p use a conditional statement, where only True False will give a F

(p↔~q )∧~q values are FTFF → p values are TTFF : TTTT

In the diagram, △TPR ∼ △XPZ. Find the length of the altitude PY.

Answers

Given that △TPR and △XPZ are similar triangles, the length of the altitude PY is: 24.

What are Similar Triangles?

Similar triangles have corresponding sides that have the same ratio, i.e. their sides are proportional.

To find PY, we need to know PZ.

Since △TPR ∼ △XPZ, therefore:

TR/XZ = TP/PZ

Substitute

10/20 = 13/PZ

PZ = (13 × 20)/10

PZ = 26

Find PY using Pythagorean theorem:

PY = √(PZ² - YZ²)

PY = √(26² - 10²)

PY = 24

Therefore, given that △TPR and △XPZ are similar triangles, the length of the altitude PY is: 24.

Learn more about similar triangles on:

https://brainly.com/question/11899908

Day 5
Now, in this part, your knowledge will be tested again. To assess
your understanding of our lesson for this week, answer the following
tasks: Learning Task 7: Identify and describe the triangles according
to their sides
and angles.
Triangles
Sides
Angles
1.
2.
3.
4.
5.
In this part
we can measure our learnings in identifying and describing

Answers

Answer:

1. 3, 3

2 3, 3

3 3, 2

4 3, 3

5 3, 3

25 is 55% of what number

Answers

Answer:

45.45

Step-by-step explanation:

25 is 55% of What Number? - 25 is 55% of 45.45. 100% of 45.45 is 45.45, therefore 55 percent of 45.45 equals 25.

Answer:

x = 500/11

Step-by-step explanation:

look at the attached photo :)

Write an equation to represent the diagram on the left.

Answers

Answer:

3n + 10 = 28

Step-by-step explanation:

3n + 10 = 28

     -10    -10

3n = 18

÷3    ÷3

n = 6

I hope this helps!

Answer:

3n = 18

Step-by-step explanation:

3n = 28-10

3n = 18

If u simplify this further you will get n value as 6

which graph represents the solution to the inequality 2x-y>-3

Answers

Answer:

graph c

Step-by-step explanation:

because-3 is lower than y and 2x

12 people are watching the otters at the zoo. 7 people are watching the giraffes. How many more people are watching the otters?​

Answers

Answer:

[tex]\displaystyle 5[/tex]

Explanation:

All you do is deduct the people watching giraffes from the total number of people at the zoo:

[tex]\displaystyle \boxed{5} = -7 + 12[/tex]

I am joyous to assist you at any time.

Answer:

5 people’s are watching the otters …

Problem:

12 people are watching the otters at the zoo. 7 people are watching the giraffes. How many more people are watching the otters ?

To find:

How many more people are watching the otters ?

Let’s find: ( step-by-step explanation ):

As question says ,

→ At the zoo, 12 people are watching the otters & 7 people are watching the giraffes...

• So , you have to find how many people’s are watching otters more than the giraffes...

→ Then use , Subtraction to find How many more people are watching the otters..

So ,

[tex]12 - 7 = 5[/tex]

• Therefore , 5 people’s are more peoples are watching the otters than the giraffes….

Hope this helps you... :)

the sum of 4.5 and a number K is 26.2​

Answers

Answer:

Your answer should be K=21.7

You can find this by subtracting 26.2-4.5

Write each expression as a difference.

1. 7+3
2. a+5
3. a+b

Answers

Step-by-step explanation:

I’ll assume that difference means “subtraction”


If that’s the case then you just make everything -(-)


a) 7 - (-3)

b) a - (-5)

c) a - (-b)

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