A scoop of ice cream has a 3-inch diameter. How tall should the ice cream cone of the same diameter be in order to contain all of the ice cream inside the cone?

Answers

Answer 1

Answer:

12 inches

Step-by-step explanation:

Suppose the ice cream scoop has the shape of a sphere of a radius (r) inches.

Thus, the top of the cone will also have a radius (r) inches.

Let consider h to be the height of the cone in inches.

So, the objective is to make the volume of the scoop of the ice cream to be the same as the volume of the cone.

To do that; we need to equate both volumes together and make h the subject of the formula:

The volume of a sphere = 4/3 πr³ and the volume of a cone = 1/3πr²h

4/3 πr³  = 1/3πr²h

Multiply both sides by 3

4πr³  = πr²h

4r = h

h = 4(3)

h = 12 inches

To contain all the ice cream inside the cone, the height of the ice cream cone needs to be 12 inches tall


Related Questions

If 10 cm on a map represents 25 km of actual ground, how many centimetres would 45 km of actual ground be on a map?

Answers

Answer:

The answer would be 20cm.

You buy 6 items for $25.60. About how much did you spend?
$125
$145
$75
$150

Answers

The answer is 150 because 6 times 25.60 equals 153.6

Answer: About $150.

Explanation: Each item cost $25.60, so I multiplied it into six, equalling about $150.

Identify the polynomial divisor, dividend, and quotient represented by the synthetic division.

Divisor:
A. –3
B. 3
C. x – 3
D. x + 3

Dividend:
A. 2x3 + 11x2 + 18x + 9
B. -6x3 - 15x - 9
C. 2x2 + 5x + 3

Quotient:
A. 2x4 + 11x3 + 18x + 9
B. 2x3 + 5x2 + 3x
C. 2x2 + 5x + 3

Answers

Answer:

Divisor:D

Divedend: A

Quotient:C

Step-by-step explanation:

The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

What is synthetic division?

Synthetic division is a method for manually performing Euclidean division of polynomials.

Given that polynomial divisor, dividend and quotient ;

The correct divisor, dividend and quotient are (x+3), (2x³+11x²+18x+9) and (2x²+5x+3) respectively

Hence, The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

For more references on Synthetic division, click;

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CAN SOMEONE HELP ME FAST
Find the distance between the two points in simplest radical form.
(-5, 8) (-3, 1)

Answers

Answer:

6.40312423 hope that helps

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)

d = [tex]\sqrt{(-3+5)^2+(1-8)^2}[/tex]

   = [tex]\sqrt{2^2+(-7)^2}[/tex]

   = [tex]\sqrt{4+49}[/tex]

    = [tex]\sqrt{53}[/tex]

Anthony read 46 pages of a book in 23 minutes.

To find the unit rate, use
.
Anthony read
pages per minute.

Answers

Answer: Anthony read 2 pages per minute.

Step-by-step explanation:

Answer: 2 pages/ 1 minute or (2 pages per minute)

Step-by-step explanation: To find the unit rate for how many pages of a book Anthony finds in 23 minutes, you’ll have to divide 46 by 23, which gives you a final result of 2 pages/ 1 minute or (2 pages per minute).

A right triangle with a base equal to 24 in and height equal to 18 in.

Answers

Answer: A= 216

Step-by-step explanation:

To which subset of the real number system does -24 belong?

Answers

Answer:

The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers. To represent a number on the number line graphically, we plot a point or its coordinate where it is approximately located on the number line.

Mother has purchased 75 yards of green fabric and 125 yards of white fabric to make green and white curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain?

Answers

Answer:

I don't fing know.

Step-by-step explanation:

Answer:

It would be 125 divided by 75.

Mike is cutting bows out of ribbon which will be used to warp gifts. If mike needs 3 1/2 feet of ribbon to make a bow, and he has 14 feet of ribbon, then how many bows can mike make?

Answers

Answer:

Mike can make 4 bows

Step-by-step explanation:

Given

[tex]1\ bow = 3\frac{1}{2}\ ft[/tex]

[tex]Ribbon = 14\ ft[/tex]

Required

Determine the number of bows he can make

To do this, we simply divide the length of the ribbon by length of 1 bow:

i.e.

[tex]Number = Ribbon/1\ bow[/tex]

[tex]Number = 14\ ft/3\frac{1}{2}\ ft[/tex]

[tex]Number = 14/3\frac{1}{2}[/tex]

[tex]Number = 14/\frac{7}{2}[/tex]

Convert to *

[tex]Number = 14 * \frac{2}{7}[/tex]

[tex]Number = \frac{28}{7}[/tex]

[tex]Number = 4[/tex]

Hence, Mike can make 4 bows

Unghiurile ∢AOB și ∢BOC sunt adiacente suplementare, iar OM, respectiv ON, sunt bisectoarele acestora. Fie BD ⊥ OM, D ∈ OM și BE ⊥ ON, E ∈ ON . Demonstrați că: a) patrulaterul BDOE este dreptunghi. b) OB ≡ DE .

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

[tex]\angle AOB + \angle BOC = 180\\\\\angle MON = (\angle AOB + \angle BOC): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point a:

[tex]\angle AOB = 60\\\\ \angle BOC = 120\\\\ \angle MON = (60 + 120): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point b:

[tex]\angle BOC = 100\\\\\angle AOB = 80\\\\ \angle MON = (100 + 80): 2[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

LAST ONE I NEED HELP ON PLEASE

Answers

Answer:

A

Step-by-step explanation:

First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.

Plz mark brainliest!!! I spent lot of time on this.

Plzzz help I will mark brainliestttt

Answers

Answer:

Not a function

Step-by-step explanation:

For every input there is one and only one output. So on this graph, it shows that there are two dots on a single vertical line, which means that there are two outputs. Because the definition of a function is "for every input there is one and only one output" we know that it is not a function.

Choose the value of x for f(x)= x^2-3x when f(x) = 10.

Answers

Answer:

f(10)=70

Step-by-step explanation:

[tex]f(x)=x^{2} -3x\\f(10)=10^{2} -3(10)\\f(10)=100-30=70[/tex]

help pls thank you!!

Answers

10/2.5= 4
2/3*4= 8/3

2 2/3 is your answer (C)

Answer:

C 2+2/3

Step-by-step explanation:

10/2.5= 4

2/3*4= 2+2/3

Add a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and why is the height, in inches (y=1.6x + 58)

Answers

Complete question :

a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and y is the height, in inches (y=1.6x + 58)

Based on the equation, what is the approximate shoe size for a man having a height of 60 inches

Answer:

1.25

Step-by-step explanation:

Given the regression equation :

y=1.6x + 58

X = shoe size ; y = height

Using the equation, the approximate shoe size of a man with a height of 60 will be ;

60 = 1.6x + 58

60 - 58 = 1.6x

2 = 1.6x

2/1.6 = 1.6x / 1.6

x = 2 / 1.6

x = 1.25

Hence, approximate shoe size of a man with a height of 60 will be 1.25

Which is greater than 4: (a) 5 or (b) 5?

Answers

Answer:

I think C. is correct

Step-by-step explanation:

Just trust me, I'm smart ;)

Answer:

they both are the same number

Step-by-step explanation:

Find the slope of the line passing through the two points.

(2.1, 3.8), (3.1, 7.6)

Answers

Answer:

3.8

Step-by-step explanation:

Slope formula- m = y2 - y1            

                                x2 - x1      

x1, y1

2.1, 3.8

                                   7.6 - 3.8

                                    3.1 - 2.1   =   3.8

x2,y2

3.1, 7.6                          

One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation in slope-intercept form that represents the amount y of money you have raised after x miles.

y=

Answers

Answer:

y  = 0.70x-  10.00

Step-by-step explanation:

--  Since one friend gave you 10.00 ,subtractthis from the 13.50 to give you the amount earned by walking the 5 miles

--  13.5-10.00  =  $3.50  

--  Since you walked 5 miles, divide by 5 to give you 0.70 per mile earned.

So, an equation that represents the amount of money earned is:  

y  = 0.70x-  10.00  . This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile  and the intercept is $10.00 and represents the initial amount of money that you were given.

pls help me whats 45x57

Answers

Answer:

2565

Step-by-step explanation:

:)

Answer:

2565

Step-by-step explanation:

1 Which expression is equivalent to (7x – 5) – (3x - 2)?​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Given: ABC is a right triangle with right angle C. AB= 14 centimeters and mA = 33°
What is AC?
Enter your answer, rounded to the nearest tenth, in the box

Answers

Answer:

AC ≈ 7.6 cm

Step-by-step explanation:

I've attached a drawing of this problem below as a visual aid.

We know that this is a right triangle (one of the angles is 90°), one of the other angles (mA) is 33°, and the hypotenuse (AB) is 14 cm. We need to calculate the length of one of the other sides. We can use sine, cosine, or tangent.

Remember SOHCAHTOA?

→ soh (Sine = Opposite / Hypotenuse)

→ cah (Cosine = Adjacent / Hypotenuse)

→ toa (Tangent = Opposite / Adjacent)

The side we want to calculate happens to be adjacent to the angle mA (33°). So, we use cosine. We put in the values we know and solve for x, the missing side:

→ sin(33°) = [tex]\frac{x}{14}[/tex]

→ x = sin(33°) × 14

→ x ≈ 7.6

The length of AC is 7.6 centimeters.

10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9

Answers

Answer:

First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well

Step-by-step explanation:

what is the equation of the line through (2,3) and (0, -1)

Answers

so 3x2 equals 6 and 0 x 1 equals 0 so 0x6 equals 0 so its zero

Answer:

0

Step-by-step explanation:

jason buys 2 baseball bats for $300 what is the unit rate per bat

Answers

Answer:

300/2= $150

Hope this is what you are looking for!

A snow making machine priced at $1800 is on sale for 25% off. The sales tax rate is 6.25%. What is the sale price including tax? If necessary round your answers to the nearest cent.

Answers

Answer:

1434.375

Step-by-step explanation:

If you multiply 1,800 by 25% you get 1,350

you take 1,350 and add 6.25% because the 6.25% is the tax.

Then you will get 1434.37 or 1434.40

Synthetic Division

(6n^3 - 57n^2 + 69n - 14) ÷ (n - 1/2)

Answers

Answer:

[tex]Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\[/tex]

[tex]Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.[/tex][tex]So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14[/tex]

                                                                                                                                                                               

                                                                               [tex]\frac{1}{2}[/tex]  | 6     -57    19    -14                                          

                                                                            +   |           3    -27    -4                                                                                            

                                                                                Q =  [6     -54     -8]   |-18 =R              

[tex]Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8[/tex]

Hence,

As the divisor is rational,  

The quotient would be multiplied by the zero(1/2).

[tex]Hence,\\the\ final\ quotient\ = 3n^2-27n-4[/tex]

[tex]Remainder =-9[/tex]

                                                                                                                                                                       

Confused and I need help please

Answers

Y=Mx+b
10=-4(-3/2)+ b
10 = -6 + b
16 = b
Y int =b = 16
use the y=mx+b method and u plug everything in and get your answer

a rectangle has a length of x3y4 inches a width of xy7 inches. which expression represents the ratio of the length of the rectangle to the width of the rectangle?

Answers

Answer: R = x^2/y^3

Step-by-step explanation:

here we will use the relation:

x^a/x^b = x^(a - b)

We know that:

Length = x^3*y^4

Width = x*y^7

And we want to find an expression that represents the ratio between the length and the width.

Then we just need to take the quotient Lenght/width or:

R = ( x^3*y^4)/(x*y^7)

Now first let's distribute in such way the x's and the y's are separated, and then let's use the relationship that is above.

= (x^3/x)*(y^4/y^7) = x^(3 - 1)*y^(4 - 7) = x^2*y^-3

R = x^2/y^3

The ratio of the length of the rectangle to the width of the rectangle is  [tex]\frac{x^{2} }{y^{3} }[/tex]

Rectangle:

Given that,

Area of rectangle is multiplication of length and width of rectangle.

length of rectangle [tex]=x^{3} y^{4}[/tex] inches

Width of  rectangle  [tex]=xy^{7}[/tex] inches.

the ratio of the length of the rectangle to the width of the rectangle is,

                 [tex]=\frac{x^{3}y^{4} }{xy^{7} } =\frac{x^{2} }{y^{3} }[/tex]

Learn more about the rectangle here:

https://brainly.com/question/19819849

What is the solution to
{y=14x+3y=2x+10

Answers

Answer:

The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

Step-by-step explanation:

∵ y = 14x + 3 ⇒ (1)

∵ y = 2x + 10 ⇒ (2)

→ Equate equations (1) and (2) to find x

14x + 3 = 2x + 10

→ Subtract 2x from both sides

∴ 14x - 2x + 3 = 2x - 2x + 10

∴ 12x + 3 = 10

→ Subtract 3 from both sides

∴ 12x + 3 - 3 = 10 - 3

∴ 12x = 7

→ Divide both sides by 12 to find x

∵ [tex]\frac{12x}{12}[/tex] [tex]\frac{7}{12}[/tex]

x = [tex]\frac{7}{12}[/tex]

→ Substitute the value of x in equation (1) or (2) to find y

∵ y = 2([tex]\frac{7}{12}[/tex]) + 10

∴ y = [tex]\frac{7}{6}[/tex] + 10

y = [tex]\frac{67}{6}[/tex]

The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

In the middle of a very cold winter night the temperature outside is -20'c at nine o'clock in the morning it has become 30 degrees warmer. What is the temperature at nine o'clock

Answers

Answer:

10°c

Step-by-step explanation:

-20°c + 30° = 10°c

Can I get Brainliest? Plz!

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