2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. 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 2 in. and a height of 4 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. *** Complete sentences

Answers

Answer 1

Answer:Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

Step-by-step explanation:


Related Questions

helpppppp ill give brainliest answer if you know

Answers

Answer: 522.67 mm^3

Step-by-step explanation:

use formula

Change 79/3 into a mixed number

Answers

Answer:

26 1/3

Step-by-step explanation:

I simplfied 79/3 on paper :)

10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?​

Answers

Im sorry sam
Bell Lah-Lah she will do

30 POINTS FOR JUST ONE QUESTION :)

Answers

Answer:

maybe its a or c

Step-by-step explanation:

Answer:

D) 14,400

Step-by-step explanation:

trust me

Nolan invested $5,300 in an account paying an interest rate of 3.8% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $6,880?
HELP

Answers

Answer:

7

Step-by-step explanation:

did the question

The amount of money would be $6,880 in the account after 7 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given data as follows:

p = $5,300

r = 3.8%

A = $6,880

A = P(1+r/100)ⁿ

Substitute the values of p,r, and A in the formula,

6,880 = 5,300(1 + 3.8/100)ⁿ

6,880/5,300 = (1 + 0.038)ⁿ

1.2981 = (1.038)ⁿ

n = 6.9954

Rounded to the nearest digit, and we get

n = 7

Therefore, the amount of money would be $6,880 in the account after 7 years.

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ2

help me and i givee points give me correct answer

Answers

Answers:

Fractions A

Red flower fraction== 40/100

Purple flower fraction=47/100

Trees fraction=7/100

Decimals

Orange flower decimal=0.06

Trees decimal=0.07

Percents

Red flower percent=40%

Orange flower percent=6%

Purple flower percent=47%

Ask for help when you need it, I'm here until 2:30

I hope this helps!

If you need more help, don't hesitate to ask!

May I have brainliest, please?

answer pls>>>>>.

pls

Answers

I’ve attached my work....
I used completing the square method were you draw a square and multiple everything across
Hope it helps!!
Have a nice day or night :O
Use the comment feature for any additional questions you have

NEED HELP PLEASE ! WILL MARL BRANIEST IF RIGHT

Answers

Answer:

-9, -2, 14

Step-by-step explanation:

-1 is < 0 so plug it into the first function.

8(-1) -1 = -9

0 is ≥ 0 so plug it into the second function

8(0)-2 = -2

2 is ≥ 0 so plug it into the second function

8(2) - 2 = 14

Due NOW!!! Please help!

Answers

Answer:

At x = 7 and x= 1

Step-by-step explanation:

Set each equation equal to 0 and solve.

x - 7 = 0

x = 7

x-1 =0

x = 1

X=1 happy to help ! :)

Write an equation of the parabola shown.

Answers

Answer:

y = 0.1(x + 5)² + 1.5

Step-by-step explanation:

Equation of a parabola having vertex at (h, k) is given by,

y = a(x - h)² + k

From the given graph, vertex of the parabola is (-5, 1.5)

Therefore, equation of the parabola will be,

y = a(x + 5)² + 1.5

Since, this parabola passes through a point (0, 4)

4 = a(0 + 5)² + 1.5

4 = 25a + 1.5

25a = 2.5

a = 0.1

By substituting the value of 'a' in the equation of the parabola,

y = 0.1(x + 5)² + 1.5

21m42n32p10
Зm 21n16 р5
Simplify

Answers

Mhh I dont know sry lol

Step-by-step explanation:

meh dont know

need help with this question​

Answers

Answer: 21

Step-by-step explanation:

Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Scale factor: 4:1
10 in
6 in
b
8 in
Scale drawing
Object
A. Side a is 10 inches long, side bis 12 inches long, and side cis 14
inches long
B. Side a is 2 inches long, side bis 4 inches long, and side c is 6
inches long.
O
C. Side a is 24 inches long, side bis 32 inches long, and side cis 40
inches long.
d
D. Side a is 1.5 inches long, side bis 2 inches long, and side c is 2.5
inches long

Answers

Answer:

D for sure

Step-by-step explanation:

i dont know if you have time for this so i explain it in the comments if you need it

Answer:

the answer is D

Step-by-step explanation:

Logan is going to invest $61,000 and leave it in an account for 20 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest
hundredth of a percent, would be required in order for Logan to end up with
$103,000?

Answers

Answer:

its 2.62

Step-by-step explanation:

Answer:

its 2.62  

Step-by-step explanation:

HELP ASAP PLS!!


what is composite area?? How do we use it in the real world???

Answers

Answer:

A composite figure (or shape) is one that can be separated into more than one of the basic figures. Examples of using it in the real world is building cars or houses.

Helpppppppppppppppp

Answers

1234567891011121314151617181920

True or false - The only way to charge an object with static electricity is by rubbing it against another object.

Answers

Answer:

This is false

Step-by-step explanation:

This is false! Have a good day!

Factor the follow expression:
8x−10

Select one:

2(x−5)

2(4x−5)

8(x−10)

2(4x−10)

Answers

Answer:

2(4x-5)

Step-by-step explanation:

find the greatest common factor (biggest number that goes into 8 and 10)

it is two

divide both by two

put 2 on the outside to symbolize that you multiply the inside by 2

2(4x-5)

Answer:

[tex]2(4x - 5)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

[tex]gcf = 2[/tex]

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]2( \frac{8x}{2} - \frac{10}{2} )[/tex]

3) Simplify each term in parentheses.

[tex]2(4x - 5)[/tex]

Therefor, the answer is Option B.

Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n

Answers

Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough

It

Step-by-step explanation:

Answer:

10,000 i think....i hope this helps

Step-by-step explanation:

how do i solve this and what is the answer?

Answers

Answer:

I totally get why you are asking , how do I solve this.  there is so much implied about this

Step-by-step explanation:

1st you have to recognize that ∠ACB ( in my drawing ) has that same angle as the arc from A to B  ,  so that's implied.   next you have to recognize that the triangle formed by ACB with the 124 degree angle at C is an isosceles and therefore has identical angles at A and B  so that's  180 = 124 + 2A  , so A = 28° and so does B , then , b/c we know that small angle... you also have to know, that the line AC is perpendicular to AD.  that they from a right angle and there for... you now know , that ∠BAD is the other part of that 90 or 90= 28 + ∠BAD so  ∠BAD = 62°

I went through that kinda fast, there was several "leaps" of using logic to get to the correct answer , using things you know from prior understanding about angles , circles  and geometry,  you are putting all of the parts together here.  :/  kinda daunting in some ways.

Given the equitation 3x+6x=30. What is the slope and y intercept.

Answers

Answer:

slope-5/3-1 2/3

y-intercept=-2

Step-by-step explanation:

hope that helps if correct please mark as brainliest thank you

19NBoli

Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780,

How much commission did Mrs. Montgomery earn last month?

What was her total pay for the month?

Round your answers to two decimal places.

Answers

try using the steps in my question i have one just like you

Step-by-step explanation:

What are the known solutions to f(x)=g(x) ?
Select each correct answer.
A.1
B.3
C.5
D.7
E.11

Answers

C lol ....... !/&:’zj

Answer:

C IF NOT D

Step-by-step explanation:

ANSWER ONE OF THESE FAST PLEASE!!!

Answers

Answer:

x7

Step-by-step explanation:

14 + 6z - 10 + 9z equaled to?!

Answers

Answer:

4 + 15z

Step-by-step explanation:

Is your simplified expression.

Answer:

15z + 4

Step-by-step explanation:

6z + 9z = 15z14 - 10 = 4Put them together: 15z + 4

I hope this helps!

WILL GIVE BRAINLIEST!!
Find the area of a regular pentagon with a radius of 32 to the nearest integer.

Answers

Answer:

2435 units

Step-by-step explanation:

geometry question pls help!!!​

Answers

Answer:

First option is the correct answer

Step-by-step explanation:

Multiply the area of the circle by [tex] \frac{360\degree - x}{360\degree} [/tex]

Someone please help me and thank you:)

Answers

Answer:

D

Step-by-step explanation:

Answer:

n+4=32 models this scenario.

This is because n+4 would show how many students are originally in the class.

Let me know if this helps!

PLS help
5 2/5 - 6 5/7​

Answers

Answer:

1.2

Step-by-step explanation:

Given

52/5_65/7

10.4_ 9.28

1.2

27\5-47\7
-46\35
= -1 11\35 Or 1.3

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The Large Cardinal Project.

Answers

Answer:

1

Step-by-step explanation:

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