Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to of its height to prevent spills.
What is the approximate volume of water in Anju's cup?

Answers

Answer 1

Answer:

V = 167.55

Step-by-step explanation:

V = pir^2 h/3

V = pi(4)^2 (10/3)

Answer 2

The approximate volume of water in Anuj's cup is 42 cubic cm.

What is volume?

Volume is a measure of capacity that an object holds.

Formula for finding the volume of cone

volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]

where,

r is the radius of cone

h is the height of cone

π = 3.14

According to the given question

paper cups are of the shape of cone.

and,

diameter = 8cm

radius = [tex]\frac{8}{2}[/tex] = 4cm

the approximate volume  of water in cup = [tex]\frac{1}{3} \pi r^{2} h[/tex]

=[tex]\frac{1}{3}[/tex]×[tex]2^{2}[/tex]×π×10

=[tex]\frac{1}{3}[/tex]×4×3.14×10

= 41.86 = 42 cubic cm.

Hence, the approximate volume of water in Anuj's cup is 42 cubic cm.

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Related Questions

Bill conducts a study during which he compares two, independent groups and he gets a significance value of .16 (i.e., p=.16). He looks at the means of the groups and sees the Group 1 Mean is 70 and the Group 2 mean is 77. He concludes they are different. (a) Why is Bill wrong? (b) What exactly does his p-value mean, in this instance?

Answers

Answer:

P-value is a parameter to compare with the significance level in order to make decisions about rejecting or not the hypothesis

Step-by-step explanation:

When you are developing a hypothesis test, in order to compare two means  (  μ₁   and  μ₂ )  you have two hypothesis

Null Hypothesis                       H₀            μ₁   =      μ₂

And depending on the problem statement, the alternative  hypothesis could be

Alternative Hypothesis           Hₐ     (1)         μ₁    >     μ₂  

                                                            (2)        μ₁     <    μ₂

                                                             (3)       μ₁     ≠      μ₂

Now if the result of the test determines that H₀ is rejected  you accept in case

(1)   μ₁    >     μ₂

(2)  μ₁    >     μ₂  

(3)  μ₁     ≠      μ₂

In any case, you need a confidence Interval, and as consequence you established a significance level to do your test. These two concept defines the acceptance and the rejection region. Just for instance

CI  =  90% means that the acceptance region is 90 %, and at the same time, the rejection area is 10 %. That 10 % will be used as follows,

Case 1 you are developing a one tail-test to the left ( side of the curve )

Case 2 you are developing  a one tail-test to the right

Case 3 you are developing a two-tail test ( in that case you need to split α into two equal areas one for each tail.

Now P-value is a tool for decision is an area that you can compare with α to accept or reject H₀.

In our particular case suppose we are testing

H₀     μ₁   =      μ₂

Hₐ      μ₁     <    μ₂

Let´s say CI = 95    then  α = 5 %     α = 0,05

And we get  P-value  =  0,16

Then area   0,16 > 0,05   Then we are in the acceptance region

(that condition really implies that z(s) < z(c)  

Can u help me with this :p

Answers

Answer:

12.5

10

Step-by-step explanation:

10(1/2+3/4)

5+7.5

12.5

10(1/2)+(8(3/4)-1)

5+(6-1)

5+5

10

A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent​

Answers

Answer:

33.33%

Step-by-step explanation:

We need to calculate the unit selling price and cost of each cosmetics.

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;

x = 1 cosmetic

since 360 = 12 cosmetic

cross multiply

12x = 360

x = 360/12

x = 30

Hence the unit cost price of the cosmetics will be Rs. 30

Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)

Selling price per unit = Rs. 40

Cost price per unit = Rs. 30

percent gain = SP-CP/CP * 100%

percent gain = 40-30/30 * 100

percent gain = 10/30 * 100

percent gain = 100/3

percent gain = 33.33%

Hence the percentage gain is 33.33%

what are ratios? and how do you multiply them? someone help please

Answers

Answer:

ratio is a comparison of two or more numbers that indicates their sizes in relation to each other

Step-by-step explanation: how to multiply


find the inverse with respect to addition of 9​

Answers

Answer:  -9

Work Shown:

Let x be the additive inverse of 9

This means it adds to 9 to get 0

x+9 = 0 which solves to x = -9 after subtracting 9 from both sides.

So -9+9 = 0 and 9+(-9) = 0.

Answer:

-9.

Step-by-step explanation:

Because  9 + (-9) = 0.

Which of the following are solutions to the equation below?
Check all that apply.
3x2 + 27% + 60 = 0
O A. 4
O B. -27
O C. -5
O D.-4
O E. 5
What is it?

Answers

Answer:

its B. -27

Step-by-step explanation:

Which expression is equivalent to 6-(-8)?
-6+8
-6+(-3)
6+(-8)
6 + 8

Answers

The answer od this question is 6+8.

Which of the following situations could match this formula? (There may be more than one correct answer.)

500=100x
Question 4 options:

A) An object travels 500 miles at a rate of 100 miles per hour.


B ) An object travels 500 feet for 100 seconds.


C ) An object travels at 500 miles per hour for 100 hours.


D ) An object travels 100 inches per minute for 500 minutes.

Answers

I think it is A, it could be A or D for sure not B or C. But when you think about it it’s probably A.

The given expression is 500=100x, situations A could match this formula.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that,500=100x

If the distance is d, velocity is v and time is t then, The formula for the distance is,

Distance = velocity × time

d=vt

The distance is in miles, v is in miles per hour and t is an hour,

miles = miles/hour × hour

The correct representation of the expression is,

If the time in an hour will be x,

An object travels 500 miles at a rate of 100 miles per hour.

Distance = velocity × time

d=vt

500=100x

Thus, the given expression is 500=100x, situations A could match this formula.

Learn more about the distance here:

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fill in the box ............

Answers

Answer: 13 times as much

Step-by-step explanation:

8.45/0.65

a hotel provides free parking for guests and charges 225 per night passion y equals total cost to stay at the hotel Annex equals number of night

help pls important!!!!!!!!!​

Answers

Answer:

y = 225(x)

Step-by-step explanation:

Given:

Cost per night = 225

Total cost = y

Number of nights = x

Computation:

Total cost = (Cost per night)(Number of nights)

So,

y = 225(x)

please help???
really need help I will mark brainliest ​

Answers

Answer:

x= 88

Step-by-step explanation: you do (88-44) making 44 then add 48+ 44 + 88 = 180.

x = 88

Solve the system of equations given below.
y - 15 = 3
-2.1 + 5y = -3

Answers

Answer:

1) y=18

2)y=-0.18

Step-by-step explanation:

1) y-15=3. Add 15 on both sides.

y=18

2)-2.1+5y=-3. Add 2.1 on both sides

5y=-0.9. Divide 5 on both sides

y=-0.18

. To find the exact answer, Marisa created the diagram below. How could she add marks to partition the line evenly? Partition the line and calculate the missing values.

Answers

Answer: first box - ($6.50x6) the answer is  $39.00. Second box - ($6.50x4) $26.00, the answer is $65.00

Also, put your pinky on the line and draw a line next to your pinky and write 10%.

She will save 26.00

she will have to pay 39.00

Step-by-step explanation:

``````````````````````````````````````

Answers

Answer:

Step-by-step explanation:

OwO

thx for the points I guess

Two news papers are comparing sales from last year. Which expression describes the number of newspapers the tribune sold

•The post sold 34,859 copies
•The tribune sold one and a half times as many copies as the post.

A. 34,859 x 1/2
B. 34,859 divided by 1/2
C. 34,859 x 1 1/2
D. 34,859 divided by 1 1/2

Answers

It would be C. 34,859 x 1 1/2

Answer:

C. 34,859*1 1/2

hope ThIs hElPz                      : \

Answers

Answer:

ig this is free pionts, sry whats the question???

Step-by-step explanation:

At what point do the lines y=x-4 and 2x+y=2 intersect?

Answers

Answer:

(2, -2)

Step-by-step explanation:

Given

y = x - 4 2x + y = 2

Solving by substitution

2x + (x - 4) = 23x - 4 = 23x = 6x = 2

Then finding y

y = x - 4y = 2 - 4y = -2

Intersection point is (2, -2)

A giraffe was born
measuring 11/2
meters tall. After 6
months, it had grown
60 centimeters. By
the end of the year, it
had grown another 72
centimeters. How
many centimeters tall
is the giraffe now?

Answers

7/2 is the answer trust me

A box contains 1 3/4 Pasta how many ounces of pasta are in the box

Answers

Answer:

Step-by-step explanation:

is there more information to the question??

A number that is multiplied by a variable is called?

Answers

Answer:

A number that is multiplied by a variable is called a coefficient.

The letters in the word SANTA CLAUS are printed on identical index cards with one letter per card. The ten cards are then placed in a hat, and one card is randomly chosen (without looking) from the hat. The chance process we are interested in is what letter is on the selected card.

Answers

The missing part:

Make a model of probability showing the set of outcome and the probability value of each outcome.

Answer:

Step-by-step explanation:

From the given information:

a) From the word SANTA CLAUS, outcomes are all distinct letters.

This implies that the outcomes are S, A, N, T, C, L, U, S

For  S, N, T, C, L, U, S letters, each of them is repeated once.

Thus, their respective probability = [tex]\dfrac{1}{10}[/tex]

A is repeated thrice, so probability for A = [tex]\dfrac{3}{10 }[/tex]

Using the probability distribution table; we have the following.

outcome      S        A        N        T        C        L        U        S

probability   [tex]\dfrac{1}{10}[/tex]      [tex]\dfrac{3}{10 }[/tex]        [tex]\dfrac{1}{10}[/tex]      [tex]\dfrac{1}{10}[/tex]       [tex]\dfrac{1}{10}[/tex]      [tex]\dfrac{1}{10}[/tex]       [tex]\dfrac{1}{10}[/tex]       [tex]\dfrac{1}{10}[/tex]

Pleaseeeee help!!!!! with also the steps.. Question: Find the solution for a system of equations by elimination
3x – 6y = 12
5x - 2y = 10

Answers

First one x=4+2y. x=2+2y over 5

Answer:

hope this helps......

Question 3 (10 points)
(01.07 MC)

The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)

Answers

Answer:

7.96 × 10⁸ kg

Step-by-step explanation:

Step 1: Given data

Mass of the Eiffel Tower (mE): 9.16 × 10⁶ kgMass of the Golden Gate Bridge (mG): 8.05 × 10⁸ kg

Step 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower

To determine this ratio, we need to do the following subtraction.

mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg

The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.

The happy apple farm has 560 apple trees. Each apple tree has 169 apples. How many apples are on all the trees together?

Answers

Answer:94,

Step-by-step explanation:

There are 94,640 apples on all the trees together. Because since each apple tree has 169 apples, and there are 560 apple trees, 560 times 169 = 94,640. I hope this helps! :)

. Rachel used 4.5 cups of apple juice in a holiday fruit punch that serves 12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Art's holiday punch? *

Answers

Answer: the 10 people served .1 more cups per serving than the 12 people

Step-by-step explanation:

4.5/12=.375

4.75/10=.475

The difference between .375 and .475 is .1

34203985.2 write this as a cash price in dollars

Answers

Answer:

$34,203,985.20

Step-by-step explanation:

A dinner table is 5 feet wide and 7 feet long.



Find the area of the table.





A.
75

B.
35

C.
30

D.
144

Answers

the answer is b, 35. have a nice day!
It’s b 35 I helped I think :)

Q.The rectangular front windshield of the bus has the length of 1.5√3 m and the width of 1.5 m . The wipers are attached to the bottom corners. If the length of each wiper is equal to the width of the windshield, find the percentage of the windshield that wipers can reach.
(Solve this task without using Trigonometry)​

Answers

Answer:

Area covered by wiper=area of arc(A0D)+area of traingleAOB+area of arc(BOC)

We know AO and OB are wipers,whose lengths are 1.5

In ∆ABC

AB^2+BC^2=AC^2

(1.5√3)^2+(1.5)^2=(AC)^2

2.25×3+2.25=(AC)^2

2.25×4=AC^2

AC=3

Also AO=1.5

similarly using Pythagoras theorem in ∆OBC

we get

OC=1.5

this shows that point O is the bisector of diagonal AC

so,AO=OC

also from property of rectangle we know that, diagonal bisects each other equally

so,O will also be the bisector of diagonal BD

hence OB=OD=1.5

AC=BD (property of triangle)

AC/2=BD/2

OB=OC,hence OB=OC=OD=OA=1.5=AD=BC

Hence OAD will be an equilateral triangle

so

angle OAD=60

similarly angleOBC=60

area of sector=angle of that sector ×area of circle/360

area of arc(AOD)+arc(BOC)=60/360 ×3.14 ×1.5×1.5 +60/360 ×3.14×1.5×1.5

=2×(60/360)×1.5×1.5

area of triangleAOB=area of rectangle/4 (diagonal divides the rectangle in 4 equal parts)

area of triangle=1.5×1.5√3/4

=>1.5×2.6/4=3.90/4

=0.975 or 0.98(approx)

Area covered by wiper=.98+2×60/360 ×3.14×1.5×1.5

=.98+0.75×3.14=2.35+0.97

=2.35+.98

Percentage of area of windshield covered by wiper=3.3×100/3.9=84.61

hence percentage of area of windshield covered by wiper is 85percent(approx)

plz mark brainlest

put the steps, for changing the formula for sector area of a circle in degrees to the formula for the sector area of a circle in radians, in the correct order​

Answers

Answer:

see explanation

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circe × fraction of circle

   = πr² × [tex]\frac{0}{360}[/tex] ← where θ is in degrees

[ note that 360° = 2π radians ], then

A = πr² × [tex]\frac{0}{2\pi }[/tex] ← where θ is in radians

( Cancel π on numerator/ denominator )

A = [tex]\frac{1}{2}[/tex]θr²

9514 1404 393

Answer:

  top down: 2, 4, 1, 7, 6, 5, 3, 8

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for a sector area of a circle with central angle, θ, in degrees.

  [tex]\textit{Area of a Sector}=\dfrac{\theta}{360^{\circ}}\cdot\pi r^2[/tex]

Replace 360° with 2π radians.

  [tex]\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}[/tex]

Replace the angle ratio in degrees with the angle ratio in radians.

  [tex]\textit{Area of a Sector}=\dfrac{\theta}{2\pi}\cdot\pi r^2[/tex]

Simplify by cancelling

  [tex]\textit{Area of a Sector}=\dfrac{1}{2}\theta r^2[/tex]

The forces exerted on an object are shown.

A box has an arrow pointing right labeled 6 N and an arrow pointing left labeled F.

If the object moves right, which of the following is a possible value of F?

Answers

Answer:

The possible value of F must be 5N.

Step-by-step explanation:

A vector quantity is a quantity that comprises of both magnitude and direction. And an example of a vector quantity is force.

In the given question, the pointing arrows are two forces in action, pushing the box in opposite directions.

If the values of both forces pointing left and right are equal, the box would not move. This implies that the two forces are balanced, so the box would be at a state of dynamic equilibrium.

If the box moves to the right, it implies that the force F is less than that pointing right i.e 6N > F.

Therefore, the possible value of F is less than 6N. Thus, F = 5N.

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