an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.​

Answers

Answer 1

Answer:

Height, h = 21 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

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

Where;

V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99 ≈ 21 mm.

Therefore, the height of the cone is 21 millimeters.


Related Questions

What is the distance between point (-2,2) (4,4)

Answers

Answer:

6 and 2 thats the distance in between

Step-by-step explanation:

Please help it’s urgent

Answers

Answer:

1750 sq m

Step-by-step explanation:

100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m

How many real-number solutions does the equation have? - 7x2 + 6x + 3 = 0​

Answers

Answer:

How many real-number solutions does the equation have? - 7x2 + 6x + 3 = 0​

Step-by-step explanation:

a. B^2-4AC = 36-(-84) = 120.

The discriminant is positive. Therefore, we have 2 real solutions.

b. B^2-4AC = 324-324 = 0. 1 real solution.

Hope this helps!

write a equation in the form y= mx or y= mx + b to represent the relationship between the independent and dependent qualities?

Answers

Answer:

y = 10x

Step-by-step explanation:

Independent variable (x) = time (minutes)

Dependent variable (y) = distance (feet)

The line passes through the point of origin (0, 0), which means it represents a proportional relationship. Therefore, the equation would be in the form of y = mx. Where,

m = slope = y/x

Using any point on the line, say (5, 50),

m = 50/5

m = 10

To write the equation, substitute m = 10 into y = mx

Thus:

y = 10x

HELP!!! in the diagram m ∠ g=96. what is m ∠E

Answers

Answer:

M<E

Step-by-step explanation:

It would be m

Answer:

sorry if it’s late, but that would be

B) 84

i just took the test.

F(x) = 3 + 4x G(x) = 6x + 7

I) find fg(x)

Answers

Answer:

See the attached document

How can square roots be written so that the radicand has no square factors?

Answers

Answer:

You can do this by dividing the radicand by the square number , and multiplying the radical by the root of that number.

e.g.

[tex]\sqrt{96} \\= \sqrt{16 \times 6}\\= 4\sqrt{6}[/tex]

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. It is believed that the machine is underfilling the bags. A 13 bag sample had a mean of 415 grams with a standard deviation of 30. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer:

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

Step-by-step explanation:

Given the data in the question;

sample size n = 13

sample mean x" = 415

standard deviation s = 30

level of significance = 0.1

so;

Null hypothesis H₀ : μ = 417

Alternative hypothesis Hₐ : μ < 417

degree of freedom DF = n - 1 = 13 -1 = 12

Rejection Region { level of significance = 0.1, df = 12 }

critical value of t is - 1.356 as { left tailed test }

Test Statistics;

t = (x" - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]

we substitute

t =  (415 - 417) / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -2 / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -0.24

so, from table;

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

PLZ HELP!! NEED QUICKLY!!
Given: ∆ABC ≅ ∆DEF. Find DF and m∠B.

Answers

Answer:

DF = 3

m<B = 28 degrees

Step-by-step explanation:

Hope that helps!

1/4 and 1/2 common denominators​

Answers

Answer:

4

Step-by-step explanation:

Answer:

The common denominator of 1/4 and 1/2 is 4.

1/2 = 2/4

Give the sine, cosine, and tangent ratios for
both angle A and Angle B as a reduced fraction.

Answers

Answer:

sin A= 43.60 or 43 3/5 cos A= 43.60 or 43 3/5 tan A= 43 3/5

sin B= 46. 40 or 46 2/5 cos B= 46. 40 or 46 2/5 tanB= 46.40 or 46 2/5

Step-by-step explanation:

Hope this Helped

Find the distance between the two points (-5, -2) and T(-3, 4).

Answers

Answer:

[tex]\displaystyle d = 2\sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, -2) → x₁ = -5, y₁ = -2

Point (-3, 4) → x₂ = -3, y₂ = 4

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-3+5)^2+(4+2)^2}[/tex][√Radical] (Parenthesis) Add:                                                                        [tex]\displaystyle d = \sqrt{(2)^2+(6)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{4+36}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{40}[/tex][√Radical] Simplify:                                                                                         [tex]\displaystyle d = 2\sqrt{10}[/tex]

PLS I WILL GIVE BRAINLIEST AND IT IS WORTH DOUBLE POINTS!!!
Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer

Answers

Answer:

he has 0.56 cents

Step-by-step explanation:

Answer:

I think the answer is 30.24

take off that is because 35 - 20% equals$28 plus 8% tax equals 30.24 so that's how I got that

Show your work on paper. (Include properties) 80 points!!!

Answers

First you have to Distribute -2/3 through the parentheses. Multiply both sides of the equation by 12. Collect like terms. Cancel equal terms on both sides of the equation. The statement is false for any value of x. Hope this helps :)

2x + y = 2
x - y = 1

Answers

Answer:

mariana bedoya sanchez

Find m
3x-6
8x+4
130

Answers

12 lolllll I’m pretty sure

Answer:

<A = 30°

The steps are given in the pic. Hope it will help :)

Simplify the expression. 4x - 2(x - 6) - X​

Answers

Answer:

Step-by-step explanation:

4x-2(x-6)-x=4x-2x-x+12

                 =x+12

Answer:

− X − 1.6 x + 12

7. What is the largest of three consecutive integers whose sum is 39.
A 13
B. 14
C. 17
D. 19

Answers

The answer would be A not 100% sure
Answer: A 13
Expiation: 13 goes into 39 and non others

Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

Be sure to show your answer and work using a coordinate plane.

Answers

Answer:

see the attached and refer to

https://brainly.com/question/21466495

Evaluate using logarithm table, log (0.65)

Answers

The answer is -0.18708664335

Q-U-E-S-T-I-O-N: Whats 1000000000000000000000000 multiplyed by 20000000
Its a weird word :/

Answers

Answer:

2e+31

Step-by-step explanation:

Evaluate the expression.


2.2

(

2
)
÷
(

1
4
)

5
−2.2⋅(−2)÷(−
4
1

)⋅5

Answers

um is this all one equation?

like -2.2×(-2)÷(-14)×5-2.2×(-2)÷(-41)×5?

Regina have 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go into each bag?

Answers

Answer:

(3×25)÷5=15

hope it helps you

please mark me as brainlist

Answer:

15

Step-by-step explanation:

first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15

Brian ran 5/6 mile in the morning and 2/3 mile in the afternoon. Did Brian run farther in the morning or in the afternoon?

Answers

Answer:

In the morning

Step-by-step explanation:

Because in the afternoon, he ran 2/3 mile and that is equal to 4/6 which is less than 5/6.

The sum of three numbers is 123. The second number is 8 more than the first. The third number is 3 times the first. What are the numbers ?

First number:

Second number:

Third number:

Answers

Answer:

41 is my geuss

Step-by-step explanation:

Follow the steps to provide to answer the question

1. Find the greatest common factor of 8 and 12. 2. Use the Distributive Property and the greatest common factor to factor the expression &r-12 3.Write the equivalent expression.​

Answers

Answer:

Step-by-step explanation:

1. Greatest Common Factor is the largest number that can be multiplied to get the product common to both product.

Factors of 8                               Factors of 12

1      8                                               1     12

2     4                                               2     6

                                                       3     4

The GCF = 4

2. I need the expression rewritten in order to help you.

PLEASE HELP MUST BE AT LEAST 5 SENTENCES PLEASE HELP DUE IN 5 MINS

Answers

Answer:

I think that Thomas Clarksons motive for publishing this drawing of a slave ship was to inform people what it was like. He wanted to show how crowded it was. Thomas might have wanted to show how people were treated.

( i dunno what else to put but you could talk about how he felt about the slave trade)

What is the area of the circle below?
27 m
424 m?
848 m?
O 572 3 m
0 729.1 m

Answers

Answer:

Can you show us the circle so we can solve the problem?

Step-by-step explanation:

Calculate the following expressions :
A = 36.8 + 4 x 10.2 - (4.5 x 2): 3​

Answers

Te ajut eu la dacă vrei la matematica

Sam has two coupons for a bicycle. coupon A: $20 rebate on a $95 bicycle. coupon B: 25% off a $95 bicycle. choose the coupon that gives the lower price. then fill in the blank​

Answers

Answer:

B

Step-by-step explanation:

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