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
The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:
V = (1/3) * π * r² * h
First, simplify the volume formula for a cone to make it easier to manipulate:
V = 1/3πr²h
Next, plug in the given values for the first cone:
V = 1/3π(2²)(8) = 32π/3
Then, divide the volume of the sink by the volume of the first cone:
2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.
Now, calculate the volume of the second cone using the same formula:
V = 1/3π(4²)(8) = 128π/3
Finally, divide the volume of the sink by the volume of the second cone:
2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.
Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:
2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.
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Pls help me no links I am serious
Answer:
March
Step-by-step explanation:
It’s March because in February there were 45 or so students, but then in March it went all the way up to 120. So, 120 - 45 = 75, which is the most amount of students increasing in a month.
I hope this helped and it wasn’t so confusing!!
What is the lateral surface area of this cylinder?
A-452.16 sq. yds
B-226.08 sq. yds
C-678.24 sq. yds
D-904.32 sq. yds
Answer:
A. 452.16 yd²
Step-by-step explanation:
Lateral surface of the cylinder = 2πrh
Where,
r = 6 yd
h = 12 yd
π = 3.14
Plug in the values
Lateral Surface Area of the cylinder = 2*3.14*6*12
Area = 452.16 yd²
Could I get some help here
I literally have the iq of a 2nd grader
Answer:
x = 16
Step-by-step explanation:
Supplementary angles = 180
K + L = 180
137 + 3x - 5 = 180
132 + 3x = 180
3x = 180 - 132
3x = 48
x = 48/3
x = 16
Find the quotient: 30m12n3÷−63m4n4.
Answer:
Hi! The answer to your question is -[tex]\frac{10m^8}{21n}[/tex]+[tex]0m^{7}[/tex]
Step-by-step explanation:
↗✧*☆*: .｡..｡.:*☆♪↗✧*☆*: .｡..｡.:*☆♪
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Can someone help with my math cw ?
Answer:
Step-by-step explanation:
yyerr
How many kilograms are equal to
54,308 grams?
Answer:
54.308 kilograms
Step-by-step explanation:
I dont know i need help please
Answer:
C
Step-by-step explanation:
what is the area of the rectangular piece of wood?
Answer:
2x^2 + 7x + 3 is the area of the rectangular piece of wood.
Step-by-step explanation:
Here,
Length ( l ) = x + 3
Breadth ( b ) = 2x + 1
Formula : -
Ar ( rectangle ) = lb
lb
= ( x + 3 ) ( 2x + 1 )
= x ( 2x + 1 ) + 3 ( 2x + 1 )
= 2x^2 + x + 6x + 3
= 2x^2 + 7x + 3
A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches. Determine the height
Answer:
so lets get the cones volume first the formula for a cone is V=πr2/3
so V=πr2h
3=π·22·3
3≈12.56637
and then the height of the cylinder is 4
Step-by-step explanation:
is -0.4 a rational number?
The circumference of a circle is 604 cm. What is the diameter of the circle?
Step-by-step explanation:
The Circumference is:
[tex]c = 2\pi \: r[/tex]
Radius r is:
[tex]r = \frac{d}{2} [/tex]
So,
[tex]c = \pi \: d \\ d = \frac{c}{\pi} \\ d = \frac{604}{\pi} \: cm[/tex]
Anyone know how to answer this question
17 A plank of wood is 3.6 metres long. 85 cm is sawn off.
How long is the remaining plank?
help please if yo help she will marry you
Answer:
2.75
Step-by-step explanation:
So lets work this out:
First, we will need to convert 85 cm to meters. That would be 0.85 meters.
Now we can take 0.85 meters and subtract it from 3.6. This equals 2.75.
A plank of wood is 3.6 meters long. 85 cm is sawn off. How long is the remaining plank? 2.75 meters
Also no thank you I am a lady
What does c equal in the picture?
Answer:8
Step-by-step explanation:
Nathan Drives a motorcycle that travels 166.5 miles on a 4.5 gallon tank. What is the unit rate in miles per gallon.
Answer:
37 miles per gallon
Step-by-step explanation:
Ratios:
[tex]\frac{166.5}{4.5} =\frac{x}{1} \\\\4.5x=166.5\\x=37[/tex]
Halla el MCM de 42 y 70.
Answer:
mcm= 210
Step-by-step explanation:
We decompose into its prime factors
42- 70 | 2
21 - 35 | 3
7 - 35 | 5
7 - 7 | 7
1 - 1
mcm= 210
Greetings!
Can you figure out the missing number
Answer:
probably 6 thats one of the missing ones
a raffle ticket costs $1.50 how many tickets would i need to sell to make my target of $150?
hi
150/1.5 = 100
so 100 tickets
Can someone please help me please
Answer:
5
Step-by-step explanation:
IF PASSPORT is written as RCUURQTV, then how will BOOKLET be coded?
Answer: DQQMNGV
Step-by-step explanation: Each letter is shifted two letters to the right on a letter strip (a -> b -> c), so BOOKLET would be DQQMNGV.
Hope this helps!
A soft drink costs $1.65 and each refill for the drink costs $0.95. If you have $4.50, how many refills can you purchase?
Answer: 3 refills
Step-by-step explanation:
$1.65 + 0.95 + 0.95 + 0.95 = $4.50
The number of bacteria in a petri dish triples every month, if the dish started with 25 bacteria, how many will there be an 8 months?
Answer:
600
Step-by-step explanation:
25x3 (per month) therefore it would be 75 times 8
Answer:
164025
Step-by-step explanation:
Can someone help me plsssss I’ve been struggling
Answer: YES
REASON: Since a rectangle is made of two right triangles then a rectangle inscribed in a circle must have its diagonal as the diameter of the circle.
Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to
allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the
bank will be applied to the negative balance of the credit account.
The play cost $2,500.00 to produce, and they intend to sell tickets for $7 each. After the play, Betsy will take the ticket proceeds and
deposit them with the bank. If 559 people attend the play's opening night, what will the balance of the bank account be?
If 5 shirts and 5 sweaters cost $205, and 6 shirts and 9 sweaters cost $294, what is the cost of one shirt and what is the
cost of one sweater?
Answer:
one shirt 25.00 one sweater 16.00
Step-by-step explanation:
$\text{one shirt: }\$25,\text{ one sweater: }\$16$
Let x be the cost of one shirt and y be the cost of one sweater; then
5x+5y6x+9y=205=294
The augmented matrix for this system of equations is
[5659205294]
Using Gaussian elimination, divide row one by 5 to get
[161941294]
Multiply row one by −6 and add the result to row two to get
[10134148]
Divide row two by 3 to get
[10114116]
After back substitution, y=16 and x=25.
The cost of one shirt is $25 and cost of sweater is $16.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the cost of one shirt and y be the cost of sweater.
5 shirts and 5 sweaters cost $205
5x+5y=205...(1)
6 shirts and 9 sweaters cost $294
6x+9y=294...(2)
Multiply equation (1) with 6 and equation (2) with 5.
30x+30y=1230..(3)
30x+45y=1470...(4)
Subtract 3 and 4
30y-45y=1230-1470
-15y = -240
Divide both sides by 15
y=240/15
y=16
Now plug in y value in any of the equation
5x+16(5)=205
5x + 80 = 205
5x = 125
Divide both sides by 5
x=25
Hence, the cost of one shirt is $25 and cost of sweater is $16.
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Gina and Marty are selling tickets for the school dance. On Monday, they sold 15 tickets, on Tuesday 23, on Wednesday 20, and on Thursday 32. What was their average daily income if each ticket cost $2.00?
Answer:
$45
Step-by-step explanation:
15×2=30
23×2=46
20×2=40
32×2=64
30+46+40+64=180
180÷4=45
Average=45
Answer:
Their average daily income would be 45 dollars a day.
Step-by-step explanation:
To solve this, add the 15 tickets, 23, 20, and 32 tickets from Monday to Thursday. This should get you a total of 90 tickets. Since each ticket cost 2 dollars, multiply the 90 by 2. This should get you 180. TO find the average, you must divide the total(180) by the amount of days(4) that passed. This should get you 45.
Answer:
45$
HELP! WILL GIVE BRANLIEST!
Answer:
Step-by-step explanation:
z = 119 Vertically opposite angles are equal.
5x + 41 + 119 = 180 5x + 41 and 119 are supplementary.
4x + 160 = 180 Subtract 160 from both sides
4x = 180 - 160
4x = 20 Divide by 4
x = 20/4
x = 5
Find the volume of the sphere in terms if the diameter is 15
Answer:
1767.14587
Step-by-step explanation:
V≈1767.15
V=4/3 π r³
d= 2 r
V= 1/6π d³ = 1/6.π.15³≈1767.14587
Write the equation in standard form for the circle with center (-7,5) and radius 8
Answer:
64 = (x+7)^2 + (y-5)^2
Step-by-step explanation:
Equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. So the equation is: 64 = (x+7)^2 + (y-5)^2
Learning Task 6: Find the missing terms.
1. 2, 2, 4, 12,_,_
2. 1, 2, 4, 8,_,_
3. 1,3,9, 27, 81,_
4. 1,5, 25, 125,_
5. 70 15, 22,_,42
pasagutan po Yung may space
ibrabrainliest ko
Answer:
4. 1,5, 25, 125,_
Step-by-step explanation:
