A cylinder has a volume of 51[tex]m^3[/tex]. What is the volume of a cone with the same diameter and height as the cylinder?
51 [tex]m^3[/tex]
8.5 [tex]m^3[/tex]
17 [tex]m^3[/tex]
153 [tex]m^3[/tex]

Answers

Answer 1
17 m^3

The formula fir the volume of a cylinder is pi(r^2)(h) where r is the radius and h is the height.

The formula for the volume of a cone is pi(r^2)(h/3)

If the diameters are the same, then the radius’s are the same because radius is half the diameter. The heights are also the same.

In the volume formula for a cylinder, you multiply everything together.

In the volume for a cone, you multiply everything together, then divide that number by 3. The number before being divided by three is the same number as the volume of a cylinder. This means that to find the volume of the cone with the same height and diameter of the cylinder, you just need to divide the cylinders volume by 3.

51/3 = 17, so the volume of the cone is 17


Related Questions

Which best describes the triangle shown?

Answers

Answer:

a I think please be right

What number should go in the space?
Multiplying by 0.25 is the same as decreasing by
%.

Answers

Answer:

75% hope this helps, this can be proven by using 100 as a tester

Answer:

75%

Step-by-step explanation:

(number) x 0.25 = 0.25(number)

0.25(number) = 25% (number)

(number) - 75% = 25% (number)

(Urgent) Worth 10 points 7.3

Answers

Answer:

[tex] 2228 \: {ft}^{2} [/tex]

Step-by-step explanation:

Required flooring cover

= Area of the school playground

= Area of square with side 40 ft + Area of semicircle with radius (40/2) i.e. 20 ft

[tex] = {(40)}^{2} + \frac{1}{2} \times 3.14 \times {(20)}^{2} \\ \\ = 1600 + \frac{1}{2} \times 3.14 \times 400 \\ \\ = 1600 + 3.14 \times 200 \\ \\ = 1600 + 628 \\ \\ = 2228 \: {ft}^{2} [/tex]

Name
Use the given information to answer Problems 7-11.
Leon and Jacey work for a florist. They each program a drone
to deliver boxes of flowers to neighbors. With Leon's program,
he must manually attach the box to the drone. With Jacey's
the drone can pick up one box at a time from a pile.
program,
ram
Please help!!

Answers

Answer:

#7:  30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)

#8 : 20  Seconds On The Graph All The times go Up by 20 So that is the only Possible answer

#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet  And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On

#10 The Time In Seconds

#11 With slow speed you can guarantee it will not be broken or damaged

I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !

Thanks :)

What expression is equivalent to 3x - 7 - 6x + 13

Answers

Answer:

-3x + 6 and -3(x - 2)

Step-by-step explanation:

Given

[tex]3x - 7 - 6x + 13[/tex]

Required

An equivalent expression

[tex]3x - 7 - 6x + 13[/tex]

Collect Like Terms

[tex]3x - 7 - 6x + 13 = 3x - 6x - 7 + 13[/tex]

[tex]3x - 7 - 6x + 13 = -3x+6[/tex]

This can be simplified further as:

[tex]3x - 7 - 6x + 13 = -3(x-2)[/tex]

Barb drew a line through the origin and point
(2, 3). Jamal drew a line through the origin
and point (4,6). How can you tell that Barb
and Jamal drew the same line?

Answers

Because if you reduce by find their common factors you can see that 2,3 is the same at 4,6. 2,3 times 2 gives you 4,6. Hence forth they are the same line


The area of a rectangular folder is 63 square inches. The folder is 7 inches wide. How long is
it?
*........* inches



Answers

It’s 9inches ! Because area=width •length

Therefor you can divide 63 by 7 to get 9

Answer:

9 inches long

Step-by-step explanation: So, this is an area problem. We know that this is a rectangle. This means we use the equasion lw or length times width. We are missing the length so we can divide the area by the width. This is common in problems where you must find a missing number.

12(a – 2) = 14 + 3(2b – 1)
5(a + 1) + 2(1 – 2b) = 14
solve with elimantion?

Answers

Answer:

(a,b) = (49/9 , 91/18)

Step-by-step explanation:

12a-6b=35

5a-4b=7

multiply both sides

-24+12b= -70

15a-12b=21

elimiate one varibable by adding the equations  

-9a= -49

divide both sides

a=49/9

subsitite the value of a

5*49/9-4b=7

solve the equation

b=91/18

a possible solution is

(a,b) = (49/9 , 91/18)

Check it if you want but yeah

49/9, 91/8 hope this helps!!

g A construction company has four trucks to carry sand to construction sites. The amount of sand that one truck can transport in one day can be modeled by an exponential distribution with mean of 4 tons for each of the four trucks. The trucks operate independently Find the probability that exactly two out of the four trucks transport more than 4 tons on a given day. What is the median load

Answers

answer is in the photo. can’t attach anything

PLS HELP TEXT ILL GIVE BRAINLIEST

Answers

Answer:

a = -15

Step-by-step explanation:

multiply both sides by 3, then you get a = -15

Answer:

a= -15 for the first one and b= -1 for the 2nd one

Step-by-step explanation:

About Prove each of the following statements using mathematical induction. (a) Prove that for any positive integer n, 4 evenly divides 32n-1. (b) Prove that for any positive integer n, 6 evenly divides 7n - 1. (c) Prove that for any positive integer n, 4 evenly divides 11n - 7n. (d) Prove that for any positive integer n, 7 evenly divides 9n - 2n.

Answers

Answer:

(a) [tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]

(b) [tex]7^{k+1} - 1 = 6(7k + 1)[/tex]

(c) [tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]

(d) [tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]

Step-by-step explanation:

Solving (a): For integer [tex]n[/tex], 4 divides [tex]3^{2n} - 1[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{3^{2k}- 1}{4} = k[/tex]

Multiply through by 4

[tex]3^{2k} - 1 = 4k[/tex]

[tex]9^k - 1 = 4k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]3^{2{k+1}} - 1[/tex]

[tex]3^{2{k+1}} - 1 = 9^{{k+1}} - 1[/tex]

[tex]3^{2{k+1}} - 1 = 9^{k} * 9^1 - 1[/tex]

[tex]3^{2{k+1}} - 1 = 9^k * 9 - 1[/tex]

Express -1 as - 9 + 8

[tex]3^{2{k+1}} - 1 = 9^k * 9 - 9 + 8[/tex]

Factorize:

[tex]3^{2{k+1}} - 1 = 9(9^k - 1) + 8[/tex]

Recall that: [tex]9^k - 1 = 4k[/tex]

So, we have:

[tex]3^{2{k+1}} - 1 = 9*4k + 8[/tex]

Factorize

[tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Solving (b): For integer [tex]n[/tex], 6 divides [tex]7^n - 1[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{7^k - 1}{6} = k[/tex]

Multiply through by 6

[tex]7^k - 1 = 6k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]7^{k+1} - 1[/tex]

[tex]7^{k+1} - 1 = 7^k * 7^1 - 1[/tex]

[tex]7^{k+1} - 1 = 7^k * 7 - 1[/tex]

Express -1 as - 7 + 6

[tex]7^{k+1} - 1 = 7^k * 7 - 7 + 6[/tex]

Factorize:

[tex]7^{k+1} - 1 = 7(7^k - 1) + 6[/tex]

Recall that: [tex]7^k - 1 = 6k[/tex]

So, we have:

[tex]7^{k+1} - 1 = 7(6k) + 6[/tex]

Factorize

[tex]7^{k+1} - 1 = 6(7k + 1)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Solving (c): For integer [tex]n[/tex], 4 divides [tex]11n - 7n[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{11k - 7k}{4} = k[/tex]

Multiply through by 4

[tex]11k - 7k = 4k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]11(k + 1) - 7(k + 1)[/tex]

[tex]11(k + 1) - 7(k + 1) = 11k + 11 - 7k - 7[/tex]

Collect Like Terms

[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 11 - 7[/tex]

[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 4[/tex]

Recall that: [tex]11k - 7k = 4k[/tex]

So, we have:

[tex]11(k + 1) - 7(k + 1) = 4k + 4[/tex]

Factorize

[tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Solving (d): For integer [tex]n[/tex], 7 divides [tex]9n - 2n[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{9k - 2k}{7} = k[/tex]

Multiply through by 7

[tex]9k - 2k = 7k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]9(k+1) - 2(k+1)[/tex]

[tex]9(k+1) - 2(k+1) = 9k+9 - 2k-2[/tex]

Collect Like Terms

[tex]9(k+1) - 2(k+1) = 9k- 2k+9 -2[/tex]

[tex]9(k+1) - 2(k+1) = 9k- 2k+7[/tex]

Recall that: [tex]9k - 2k = 7k[/tex]

So, we have:

[tex]9(k+1) - 2(k+1) = 7k+7[/tex]

Factorize

[tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

6-4x is Less than or equal to 26

Answers

Less_____________________

i have $2 in my pocket what might be in my pocket (number puzzle)

Answers

Answer:

$2

Step-by-step explanation:

You might have spend the two dollar and got something small and put it in your pocket?

Provide on equivalent ratio. Show your work....
Write the ratio as a unit rate
per HELP PLEASE

Answers

Answer:

VHV

Step-by-step explanation:

wheres the question even?

the slide at the playground has a height of 6 feet. the base of the slide measured on the ground is 8 feet. what is the length of the slide?​

Answers

Answer:  10 feet

Step-by-step explanation:

number 5 please yeah

Answers

Answer:

3x<45

Step-by-step explanation:

Simple

2 cups is to 8 cans as 14 cups is to ___ cans?

Answers

Answer:

56

Step-by-step explanation:

The ratio is 1:4

14 * 4 = 56

Answer: 56

Step-by-step explanation:

8 ÷ 2 = 4 (cans) - it is 1 cup.

14 × 4 = 56 (cans) - it is 14 cups.

what is bigger 1 yard or 35 inches

Answers

1 yard since 1 yard is 36 inches and 35 inches is less than 36 inches

Answer:

Step-by-step explanation:

1 yard has 3 feet

1 foot has 12 inches

3 feet have 3 * 12 = 36

36 is greater than 35

1 yard is greater than 35 inches.

In a bowl of fruit, there are green grapes and black grapes in the ratio 3: 4
If there are 24 green grapes, how many black grapes are there?

Answers

24/3 = 8.
8 • 4 = 32

The graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).

Which is an equation in terms of x and y for this function?
y = 12x + 10
y = 23x + 9
y = 32x + 8
y = 2x + 7

Answers

Answer:

y=12x+10

Step-by-step explanation:

hope this helps sorry if I'm wrong

The system of equations y=- x +5 and y= x - 1 is graphed. What is the solution to the system of equations?

Answers

Answer:

2(x+1)=3(x-1). 2x+4 = $*-6. -*=-8 .... x=y x=17. 1. x x. X. = 8. X-9=-3x-5 f). 4x=4 x = 1 ... Graphing Linear Equations. Graph ... Solve the inequality and graph the solution on a number line.

Hellllppppppppppppppp!!!!!

Answers

A, and if I’m wrong don’t sue me

What are two absolute value expressions that are equivalent to |7+9|.

Answers

You did not give is choices to choose from.

|7 + 9| is the same as |-7 - 9|.

|16| is the we same as |-16|.

Use the applet to select a random sample of 8 students.Repeat to generate many samples. The applet gives the sample proportion for each sample. Examine the variability in the sample proportions you generated with the applet. Which of the following sequences of sample proportions is most likely to occur for 5 random samples of 8 students from this population? Group of answer choices 0.250, 0.125, 0.500, 0.500, 0.875 0.600, 0.600, 0.600, 0.600, 0.600 0.375, 0.625, 0.500, 0.500, 0.875

Answers

Answer:

0.250, 0.125, 0.500, 0.500, 0.875

Step-by-step explanation:

Sampling method is used in statistics where the sample is extracted from the population. A random sampling means that there is equal chance of every proportion to be selected in the sample. In the given scenario the sampling method used is random sampling which has 5 random samples of 8 students. There can be sequence for the sampling starting from 0.250.

DA is tangent to the circle at A and DC is tangent to the circle at C. Find m

Answers

Answer:

D

Step-by-step explanation:

m angle b equals 77 now we have to find the arc of andle b.

so use the equation arc AC = 2(77)

arcAC = 154

360 - 154

=206

206/2

= 103

To solve the system of equations below, Grace isolated the variable y in the
first equation and then substituted into the second equation. What was the
resulting equation?
2y = 10x
x y²
64 36
= 1

Answers

Answer:

D

Step-by-step explanation:

2y=10x

Divide both sides by 2.

y=5x

Now substitute this into the second equation.

Answer:

b. [tex]x^2/64 - 5y^2/36=1[/tex]

Step-by-step explanation: a p e x

Your weight on Mars varies
directly with your weight on
Earth. A person weighing 125 lb on
Earth weighs 47.25 lb on Mars,
since Mars has less gravity. If
you weigh 155 lb on Earth, how
much will you weigh on Mars
rounded to the nearest pound?

Answers

Answer:

w=58.59

Step-by-step explanation:

47.25/125=w/155

155×47.25/125=155×w/155

7323.75/125=w

w=58.59

Whats 9387c x 732l +99 *DO NOT REPORT TY!*

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do not come until wednesday

Id: 334 911 1797

pass: hey

Answers

Answer:

You did not even start the meeting them you want us to join . Silly

Step-by-step explanation:

6871383

how you doing?

how your day going?

Answer:

6871383

Step-by-step explanation:

why dont come until wednsday??

giving BRAINLIEST for the correct answer !!

Answers

Answer:

x<4

Step-by-step explanation:

PLEASE SOMEONE ANSWER A REAL ANSWER WILL GIVE BRAINLIST

Answers

Answer:

a I think please be right

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What is the area of the logo? Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.6 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.7 75.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8 If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456). Required:a. Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why? b. Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%. c. Calculate point estimates of the population variance and the population standard deviation. d. Calculate the standard error of the point estimate found in part (a). Interpret the standard error. e. Calculate a point estimate of the proportion of all connectors. What is the correct answer? A water park has a slide that finishes with the rider flying horizontally of the bottom of the slide. The slide is designed to end 1.5 m above the water level, and the average rider is estimated to leave the bottom of the slide at 25 m/s. How far Horizontally will the rider travel from the bottom of the slide before hitting the water? I WILL GIVE BRAINLIEST!Explain what makes a claim effective, and describe how a writer uses evidence and claims in an argumentative essay. If the left arm is weak which side of the brain is affected? Tom needs to apply 1 3/4 gal of herbicide per acre of soybeans. How many gallons of herbicide are needs for 120 acres? Answer step-by-step please. Open the Screenshot to see the problem ovaries and testis are also called Lack of sleep is tied to conditions like heart disease and high blood pressure.a. Trueb. False This paragraph compares electric cars and traditional, gas-powered automobilesstrong claim or weak claim PLZ HELP ASAP 20 POINTS PLZ ANSWER THIS HOUR IF AC = 26 cm, what is BC?20 cm24 cm26 cm2194cm Plss help me with this plssssss The sum of three consecutive even integers is 30 more than the largest Look at picture, please I need help on this question How have scientists used relative dating to study the geologic history of other planets, such as Venus? Each page in the excerpt from "The RailroadEarth" has a descriptive focus. Choose the focus ofeach page.The first page:The second page:The third page: The lengths of the sides of ABC are 4, 5,and 6. If the length of the longest side of similarADEF is 18, find the length of the shortest sideof DEF please please help me with number 28 ill mark b Find the mean, median, and mode of the diamond weights.Please help!!