HELP ASAP
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 4500/3 πin3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 6 in. and a height of 14 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(b) One cup has a diameter of 10 in. and a height of 12 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

Answers

Answer 1

By taking the quotient between the volume of the sink and the volume for each cone, we will see that both of your answers are correct.

How many coops does Carissa need to scoop out in each case?

First, we know that the sink has a volume V =

(2000/3)*pi in^3

A) First, she uses a cone of a diameter of 4 in and a height of 8 in.

Remember that the volume of a cone of diameter D and height H is:

V = pi*(D/2)^2*H/3

Then this cone has a volume of:

V = (pi*/3)*(4in/2)^2*8in = (pi/3) 32 in^3

The number of scoops needed to completely remove the water out of the sink is given by the quotient between the two volumes, it is:

Rounding it, we get 63, so she needs to scoop 63 times.

B) This time the diameter is 8 in and the height 8in, so the volume of the cone is:

V" = (pi/3)*(8in/2)^2*8in = (pi/3)*128 in^3

This time, she needs to scoop:

Rounding to the next number we get 16, she needs to scoop 16 times.

So both the answers are correct :)


Related Questions

pls you will the ultjimate rizz

Answers

Answer:

22 square units.

Step-by-step explanation:

What is the area?

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

To solve for the area of the figure, we can split the figure into 3 shapes. (2 triangles and a rectangle)

An expression you can use to solve for the area of a rectangle and the area of a triangle is:

(Length × width) = area of a rectangle.(Length × width) ÷ 2 = area of a triangle.

Solving for the triangle on the left:

(4 × 3) ÷ 2 =?

Solving what is in the parenthesis:

12 ÷ 2 = 6

Therefore, the triangle on the left has an area of 6 square units.

To solve for the rectangle in the center, we can use this expression:

4 × 3 = 12

Therefore, the area of the rectangle in the center is 12 square units.

Solving for the triangle on the right:

(4 × 2) ÷ 2 =?

Solving what is in the parenthesis:

8 ÷ 2 = 4

Therefore, the area of the triangle on the right is 4 square units.

Adding all of the areas together:

6 + 12 + 4 = 22

Therefore, the total area of the shape is 22 square units.

Add up all the area 22 square units

Which is bigger?
please help

Answers

6 is bigger I guess

Answer: 2/3 / 1/6 = 4/1

Step-by-step explanation: 2/3 / 1/6 = 2/3 x 6/1

2/3 / 6/1 = 2/3 / 1/6

The answer to the first one is 1/9

The answer to the second one is 4/1

Summer takes two pieces of fruit from the snack. What is the probability that she chooses two pieces of fruit that are not bananas three pear four orange and two bananas

Answers

7/9 because there are 7/9 fruits that are not bananas
719 because there are 719 fruits that are not bananas

what is the maximum number of 14 pound turkeys that can be purchased with the money donated while still purchasing 100 total turkeys? 10 pound turkeys cost 9.25 and 14 pound turkey cost 12.75. Money limit is $1000.

Answers

Answer:

64.05$

Step-by-step explanation:

write in numbers in order please

Answers

Answer:

1, 3, 5, 6

Step-by-step explanation:

I think this is the right answer

Answer:

1 3 5 6

Step-by-step explanation:

x/6 + 45> 39

x/6 > -6
x> - 36
so 1, 3, 5, 6

Joseph has invited a group of friends over to watch a football game and is getting a party platter of spicy wings and sweet wings to serve. Joseph starts his order with 16 spicy wings. He plans to order more sweet wings than spicy wings.
Let n represent the number of sweet wings that Joseph might order. Which inequality models the story?

Answers

Answer:

Since Joseph plans to order more sweet wings than spicy wings, the inequality that models the story is:

n > 16

This means that the number of sweet wings (n) must be greater than 16.

Step-by-step explanation:

Answer: n > 16 im pretty sure

Step-by-step explanation: to graph just put the uncolored in dot on 16 and draw an arrow to the right

find the area of the rectangle.

Answers

Step-by-step explanation:

the answer is 4 inch ^2 units..

16/4 = 4/1 = 4 that is the area

A cylindrical jar of peanut butter has a height of 5 inches and a diameter of 4 inches. How many cubic inches of peanut butter can the jar hold? Use π = 3.14.

Group of answer choices:

125.6 in3

251.2 in3

62.8 in3

20 in3

Answers

Answer:

62.8 in. ³

Step-by-step explanation:

V= π r² h

r= 1/2d

4/2= 2 is our radius

3.14 × 2² × 5 = 62.8

the volume js 62.8 in. ³

14 out of 24 students have vanilla ice cream and the rest have chocolate. What is the ratio of the number of students who have vanilla to the total number of students?

Answers

Answer: 14:24  

Step-by-step explanation:

14:24.

There are 24 total students and 14 have vanilla ice cream. Therefore, the ratio of vanilla to total number of students is 14:24.

Please help! Lots of coins!

Answers

Answer:g jd

Step-by-step explanation:28bsbv bnfq eife w  \

jdjdjsnsk

mdsdkn

dcjnsd

plss bro due tommorwo

Answers

Answer:

41ft or 50ft

Step-by-step explanation:

why well u do 7+5+4+14+11=41

How many seconds would it take to fill a water balloon with a pint of water if the hose dispenses water at the rate of 20 pints/minute?
seconds?

Answers

Answer:

3 seconds

Step-by-step explanation:

1 minute = 60 sec

fill rate = 20 pints/60 sec = 0.33 pints/sec      

t = time

(0.33 pints/sec)(t) = 1 pint    

t = (1 pint) / (0.33 pint/sec) = 3 sec

Write a system of linear equations that has the ordered pair (3,-5) as it’s solution

Answers

Answer:

x + y  and x - y are the simplest system of linear equations that has the ordered pair.

Example:

x + y = -2

x - y = 8

That's the answer to the ordered pair (3,-5)

Remember x = 3 and y = -5

Step-by-step explanation:

I don’t understand, help me please.

Answers

Based on my math I think nose has a area of 5 square inches, the fins both have a area of 4 square inches and the middle rectangle is 12 square inches, the small one to the right is about 2 so the total should be 27. I am not the best at math but i tried.
Find The Area So Length X Length!

PLEASE HELP ME! Explain simply and clearly.
The length of a line segment is 8 units.one end point is p(5,-3). which of these could be the other endpoint of the line segment?


A(-3,-3)

B(-3,-11)

C(5,8)

D(8,-3)

Answers

Answer:

Step-by-step explanation:

Solution

Distance between two points  =

(x 2−x 1) 2+(y 2 −y 1) 2

Given, one point =(2,−3)

Let, other point =(10,b)

absicca is x cordinate

(10−2) 2+(b+3) 2=108 2+(b 2+9+6b)=10

Squaring both sides, we get

64+b

2

+9+6b=100

(b+3)

2

=36

∴ b+3=6 and b+3=−6    

∴ b=3 and b=−9

Your answer would be A(-3,-3)

The easiest way to solve this problem would be to graph it. Graph each of the points them count the units or squares between each point. Whichever one is only 8 units is the answer. Hope the image helps.

Question Which equation represents the linear function whose graph contains the points (2, 5) and (3, 0)? Responses f(x) = -5x + 3 f(x) = -5x + 3 f(x) = 3x - 5 f(x) = 3x - 5 f(x) = -5x + 15 f(x) = -5x + 15 f(x) = -5x - 15

Answers

The equation of the function would be

f(x)=-5x+15

bro if u help me with this u have w rizz

Answers

Answer:

6 or 7

Step-by-step explanation:

12 cm …… trust me that is the answer

A food shelter runs an annual fundraising drive. They must raise at least $4,500 for rent and the monthly expenses of $675. As of now, the shelter has received a one-time donation of $225 and pledged donations of $600 per month. Write an inequality that can be used to find m, the number of months it can take the shelter to meet their goal

Answers

Answer: 8 months

Step-by-step explanation:

find the area of the rectangle

Answers

Answer: 1 2/3

Step-by-step explanation:

2 / 6  x  5  Step 1: Note that 5 is the same as 5/1 since 5 divided by 1 is 5. Therefore, start by setting up the problem like this:  2  / 6  x   5 /  1

Step 2: Multiply the numerators together (2 x 5 = 10) and multiply the denominators together (6 x 1 = 6) and make it into one fraction like so:  10 /  6

Step 3: Simplify the fraction above if possible. Here is the final answer in its simplest form:  1   2 / 3    

Answer:

Area = 5/3 in²

Step-by-step explanation:

Area of a rectangle = length * width

In this case:

Area of a rectangle = 2/6 in * 5 in

=5*2/6

= 10/6

= 5/3

Factor completely and then place the factors in the proper location on the grid.

b² + 12b + 32

Answers

(B+4)(b+8) because it is

What is the value of x in the equation?

1.5x - 15.5 = 2.5



Group of answer choices

12

2

15

1

Answers

Answer:

12

Step-by-step explanation:

1.5x - 15.5 = 2.5
We can add 15.5 on both sides so that we get the x onto one side. We then get: 1.5x=18
To get x we dive 18 by 1.5 which is 12.

The answer would mostly be 12

30 pts and brainliest! A toy pyramid has the dimensions shown below. The base of the pyramid is an equilateral triangle. What is the area of the base of this pyramid?



42 cm 2
27 cm 2
21 cm 2
31.5 cm 2

Answers

Answer:

21cm^2

Step-by-step explanation:

base of pyramid= 6×7=42

42÷2=21

=21cm^2

Andy had 8 friends at school. The next day,he got 9 more friends. How many friends will he have in about 2 years?

Answers

Answer: 3293

Step-by-step explanation: just multiply 365 by 9 then add 8

Answer:

3293

Step-by-step explanation:

multiple 365 by 9 then add 8

(40 POINTS, URGENT!)
Help please.

Answers

supplementary

[tex](3x + 25)^{0} + 2x^{0} = 180^{0}[/tex]

[tex]5x + 25 = 180[/tex]

[tex]5x = 180 - 25 \iff 5x = 155\\[/tex]

[tex]x = 155 : 5 \implies x = 31[/tex]

w rizz if u help me with this question

Answers

Answer:

102 in²

Step-by-step explanation:

help would be nice so if u do thanks and please no wrong answers

Answers

Answer:

true

false

false

Step-by-step explanation:i might be wrong but i did it in my head

true

true

false

Im pretty sure thats right

i need help with this one!

Answers

Ok I’ll try to find it
I’m not sure but i would guess multiple 2x4 which equals 8 and then find Kevin’s amount by subtracting 8-2=6 and then add 8+6=14 but I’m not exactly positive

A girl wants to buy a pet monkey from a exotic pet store. The Monkey costs $4,000 but she can use a coupon that will give her 50% percent off. Should she use the coupon?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

5/4 &1.25

Step-by-step explanation:

50%/100%×4000/1

50/40

5/4

1.25

I don't understand this, so if someone could help, that would be amazing.

Answers

I do not see the answer
Hello! The question you posted as a picture is a blank screen, so I can’t see the question

Why were the colonist fighting? Who and what were they fight for?

Answers

Answer:

The colonists fought the British because they wanted to be free from Britain. They fought the British because of unfair taxes. They fought because they didn't have self-government. When the American colonies formed, they were part of Britain.

Step-by-step explanation:

Answer: they were fighting because they wanted their own independence they were fighting for themselves and they were also fighting so they could have their own rights and not have to pay the taxes that were high and so they didn't have to house British soldiers in their own homes.

Step-by-step explanation:

Other Questions
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