A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.

Answers

Answer 1

Answer:

9.42 cubic inches

Step-by-step explanation:

We are to find the volume of the cone.

The formula is given as:

1/3πr²h

From the question,

Diameter = 3 inches, Radius = D/2 = 3/2

r = 1.5 inches

h = 4 inches

Hence, the volume of the cone =

1/3 × π × 1.5² × 4

= 9.42 cubic inches

Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.


Related Questions

What is the value of variable for -4(y - 2) = 12
Explain please

Answers

Answer:

-4(y - 2) = 12

Standard form:

−4y − 4 = 0

Factorization:

−4(y + 1) = 0

Solutions:

y = −4

4

= −1

Step-by-step explanation:

Billy got 4 hits in his last 20 at-bats. Based upon this information, how many hits would you expect Billy to get during his next 50 at-bats?

Answers

Answer:

10

Step-by-step explanation:

4 hits                     x hits

_______ =     _________

20 at-bats        50 at -bats

Factor by grouping plss help

Answers

Answer:

(5 x + 7)(x^2 + 3)

The graph of line p represents = x-1. If the slope of line p is multiplied by (-10)
to create liner, which statement about the graphs of the two lines is true?
A
Line r intersects line p.
B Line ris parallel to line 2.
CLine ris 10 units above line p.
D
Line ris 10 units below line p.

Answers

Answer:

A. Line r intersects line p

Step-by-step explanation:

to find the second graph multiply the slope of line p by -10

slope is 1/5 or 0.2

So,

0.2 * -10 = -2

slope of second line is -2

Graph shown

Altered line shown in blue

Line p shown in green

As you can see, they intersect and meet no other answers

Find the measure of angle b

please help:)

Answers

See photo. Hope it helps

A survey found that​ women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also found that​ men's heights are normally distributed with mean 67.5. And standard deviation 3.7. Consider an executive jet that seats six with a doorway height of 56.4. Complete parts​ (a) through​ (c) below.

Answers

Complete question :

A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.

1-What percentage of adult men can fit through the door without bending?

2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below

A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.

B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.

C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.

Answer:

A.) 0.135%

B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

C.)

Step-by-step explanation:

Percentage of adult men that can fit the door without bending :

Obtain the Zscore :

Mean height of men, m = 67.5

Standard deviation, s = 3.7

Zscore = (x - m) / s ; where x = 56.4

Zscore = (56.4 - 67.5) / 3.7

Zscore = - 11.1 / 3.7

Zscore = - 3

P(Z < - 3) = 0.0013499 (Z probability calculator)

P(Z < - 3) = 0.0013499 * 100% = 0.13499%

The diameter of a circle is 11 cm. Find its area to the nearest tenth.

Answers

Answer:

95.0

Step-by-step explanation:

Area of a circle

A = πr2

Radius is half the diameter = 11/2 = 5.5

A = π x 5.5 x 2

= 95.033177...

= 95.0

Find the volume of the cone in terms of pi.
405TT cm3
324TT cm3
72TT cm3​

Answers

Answer:

324πcm³

Step-by-step explanation:

Volume=⅓πr²h

⅓*π*9²*12

=324πcm³

I am confused on this, I would LOVEE some help please!

Answers

Answer:

2nd and 5th one are correct. Rest of them r wrong

Step-by-step explanation:

Factor out the GCF from the given polynomial. 10^3 + 16^2 - 18x 10^3 + 16^2 - 18x = (Type your answer in factored form.)​

Answers

Correct question is;

Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)​

Answer:

GCF = 5x² + 8x - 9

Step-by-step explanation:

The given polynomial is;

10x³ + 16x² - 18x

First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.

The greatest number is 2.

Secondly let's inspect the variables to see what we can factor out.

They all contain x. Thus, x is a factor.

Thus, we will divide each term by 2x to obtain the GCF of the polynomial.

GCF = (10x³/2x) + (16x²/2x) - (18x/2x)

GCF = 5x² + 8x - 9

0.8(m - 5) = 10

What is m equal to?

Answers

Answer:

Step-by-step explanation:

I can help

Step 1

0.8(m - 5) = 10  Simplify

Step 2

0.8(m - 5) = 10  simplify the equation

0.8m-4=10

Step 3

0.8m-4=10  Add 4 to the sides

0.8m=14

Step 4

0.8m=14  Divide the sides by 0.8

17.5

Answer

m=17.5

Hope this helps

Plzzz help!!! ill givee brainliest!!!!

A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What was the mistake made? (5 points) a 2 was not multiplied by x b 2 was not multiplied by 5 c Incorrect sign was used for the first term d Incorrect sign was used for the second term

Answers

Answer:

b) 2 was not multiplied by 5

Step-by-step explanation:

Correct answer: 2x + 10

Can someone please help me with math.

Answers

The answer is B, Graph B is the linear graph

Evaluate each expression for n = 5. 6n + n2​

Answers

Answer:

40

Step-by-step explanation:

1. Plug in the given value for n

6(5) + (5)2

2. Solve using PEMDAS

(I'm not sure if the 2 after the n is supposed to be squared, but if it was n^2 then the correct answer would be 55, I think)

30 + 10 = 40

Therefore, the answer is 40

Hope this helps :)

How do you find percentages?​

Answers

For example if you have a decimal, let’s say 0.225, you multiply it by 100 and that would equal to 22.5. This means that your percent is 22.5%

Step-by-step explanation:

if you have 3/4 you divide the part, 3, by the whole, 4

3 ÷ 4 = 0.75

then multiply 0.75 by 100, 75, then add a percentage sign: 75%

pls help will give u brainlist

Answers

option D is the correct answer.

Number 8 please help 10 points no links pleAse

Answers

The answer is A (3). In the question you are given a list of numbers, these are the results from the science project. In the list, the number 12 appears 5 times, therefore 5 dots are added above the number 12 on the dot plot. 11 appears once, 13 appears 3 times, 14 appears 3 times and 15 appears three times. Hope this helps.

Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.

Answers

The polygons name is an octagon and is not a regular polygon

A parabola has a vertex at (-6, 2) and opens down. Which of the following represents the
equation of the axis of symmetry for this parabola?

Answers

Answer:

I don't see any choices but I think the axis of symmetry is x=-6.

Step-by-step explanation:

What is the total surface area of this square pyramid?
204 cm2
384 cm2
72 cm2
240 cm2​

Answers

Answer: 384 cm²

Step-by-step explanation:

Took test

Answer:

Answer: 384 cm²

Step-by-step explanation:

What is the speed of a wave that has a wavelength of 2m and frequency of 1.5 Hz?
Doc Below

Answers

Speed =wavelength x frequency
= 2x1.5 = 3m/s

A bag contains 4 red marbles and 2 white marbles. A marble is selected, returned to the bag, and then another marble is selected. Find P(red, then white).

Answers

Yessss this I’m waffling because I need to answer quiestionnsss

Answer:

2/9

Step-by-step explanation:

The equation of the line A is 3x+2y=10.line B is parallel to line A and passes through the points (4,6).find the equation of the line B.​

Answers

Answer: [tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

[tex]3x+2y=10[/tex]            [subtract both sides by 3x]

[tex]2y=10-3x[/tex]            [divide both sides by 2]

[tex]y=5-\frac{3}{2}x[/tex]

With the slope-intercept form of line A, we can see that the slope is [tex]-\frac{3}{2}[/tex]. We take the slope and the given point (4,6) to find the y-intercept of line B.

[tex]y=-\frac{3}{2}x+b[/tex]            [plug in (4,6)]

[tex]6=-\frac{3}{2}(4)+b[/tex]         [multiply]

[tex]6=-6+b[/tex]              [add both sides by 6]

[tex]b=12[/tex]

With the y-intercept, we know the equation for line B is [tex]y=-\frac{3}{2}x+12[/tex].

In ΔQRS, q = 960 cm, r = 420 cm and ∠S=31°. Find the area of ΔQRS, to the nearest square centimeter.

Answers

Answer: 103832

Step-by-step explanation:

The data show the number of pieces of mail delivered to a single home address each day for three weeks.

4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2

Which statement is true about a graph representing the data? Select two options.
The number line of a dot plot would start at 1.
A dot plot would show 7 points for numbers greater than 2.
The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.
A histogram would have a maximum of 7 bars.
A histogram should not show a bar that includes 0 pieces of mail.

Answers

Answer:

B) A dot plot would show 7 points for numbers greater than 2.

D) A histogram would have a maximum of 7 bars.

Step-by-step explanation:

quiz on edg told me ;)

The true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

What is a Dot Plot and a Histogram?

A dot plot uses dots to show each data point, while for histogram, the frequency for the data values are depicted by bars or bins.

In the data ste given, 7 of the data points are greater than 2. So, the dot plot for the data distribution would display 7 points for values greater than 2.

Also, there are 7 different values, which are from 0 - 6. This will require 7 bars if we want to represent the data on a histogram.

Therefore, the true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

Learn more about the dot plot and histogram on:

https://brainly.com/question/14577528

What relationship CANNOT be used to prove that AABC is congruent to ADEF?


Help please!!!

Answers

Answer:

D) Angle angle angle

If you know angles of all the three sides (Angle-Angle-Angle), that STILL wouldn’t help because no triangle can be drawn only knowing angles, no matter how many angles you know!

What is the area, in square meters, of the isosceles trapezoid below? 15.8 m 5-4 m 6.6 m Answer: A = ____ m squared​

Answers

Answer:

5.618773 m2

I hope that this is the answer.

Answer:

answer is 60.48 m squared

Step-by-step explanation:

use the formula

a=1/2(b1+b2)h

a=1/2(15.8+6.6)h

a=1/2(22.4*5.4)

a=1/2(120.96)

a=120.96/2

a=60.48m

hey peeps i'll give you a brainliest & 25 pts for these answers plss help a dum b b out <333

Answers

you know that your line is perpendicular to the line with equation y equals 3x + 5 right whenever a line is perpendicular to another perpendicular not parallel to the line has a negative slope of the other line for example if you had a line with slope 2 x in the line perpendicular to that would have slope -1 / 2X so then you line in your question has slope -1 / 3 x by doing the Rococo of 3 and adding a negative sign to your equation sulfur looks like this y equals negative 1 / 3 x + B where is B is a constant 3 all you have to do is solve for b is a plug in the coordinate values 6 equals x minus -2 equals one in rearrange y equals -1 / 3 x + B negative two equals negative one over three 6 plus b negative two equals negative two plus be there for me easy roast F4U equation of the line is y equals -1 / 3 x

All right so i need someone to walkthrough the way to do this cause i'm lost. please do it step by step! Thanks!

Answers

Step-by-step explanation:

Hey there! Your answer :-

The skeletal formula of a quadratic equation is :-

[tex]\sf{ax^2 + bx + c}[/tex]

According to this question, we have :-

[tex]\sf{3x^2 + 8x + 4}[/tex]

So, the answers :-

a = 3b = 8c = 4

Hope it helps :) Best of luck for your future!

WILLL GIVE BRANLIEST PLSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

100°

Step-by-step explanation:

If my calculations are correct, I suppose the final answer will be 100 degrees.

If you see it, It's clearly mirrored.

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