the volume of a cylinder is 1,692.46 in cubed. if the radius becomes three times as large, what will be the cylinder's volume?

Answers

Answer 1

Final answer:

To find the new volume of the cylinder, multiply the original volume by 9.

Explanation:

To find the new volume of the cylinder, we need to find the new radius first. Since the radius becomes three times as large, the new radius will be 3 times the original radius. Next, we substitute the new radius into the volume formula for a cylinder.

V = πr²h

Let's assume the original radius is 'r' and the original volume is 1,692.46 in³. Therefore:

1,692.46 = πr²h

The new radius will be 3r, so the new volume becomes:

V = π(3r)²h = 9πr²h

So, the new volume of the cylinder will be 9 times the original volume or 9 * 1,692.46 = 15,231.14 in³.

Related Questions

figure lmno is a rectangle. The slope of LM is -1/2. What are the slopes of MN and OL?

Answers

The slope would be 2 because the sides would have to be perpendicular to each other since it is a rectangle and to get the perpendicular slope, you get the opposite reciprocal of -1/2 which is 2. (drawing it out helps)

Answer:

The slopes of these other two segments would be 2.

Step-by-step explanation:

In order to find these slopes, you need to know that rectangles have right angles. Given this fact, we know these segments are perpendicular to the given segment. This means that we take the current slope (-1/2), we flip it, (-2) and negate it (2) to get the new slope.

Which ordered pair is a solution of the equation 2x - 3y = 18?

Answers

Not sure if this is one of the answer choices but (0,-6) would work. If this was helpful I would really appreciate brainliest.

I attached a screenshot of the question along with the given choices.

Answer:
(3,-4)

Explanation:
The easiest way to solve this question is to use each of the given order pairs, substitute with them in the equation and check whether the equation is satisfied or not.

The given equation is:
2x - 3y = 18

1- For (0,8):
2(0) - 3(8) = -24 .....> not equal to 18 .....> wrong choice

2- For (2,5):
2(2) - 3(5) = -11 .....> not equal to 18 .....> wrong choice

3- For (3,-4):
2(3) - 3(-4) = 18 .....> equal to 18 ......> correct choice

4- For (6,2):
2(6) - 3(2) = 6 .....> not equal to 18 ......> wrong choice

Based on the above, the correct choice is (3,-4)

Hope this helps :)

A newspaper article about an opinion poll says that 43% of Americans approve of the president's overall job performance." Toward the end of the article, you read: The poll is based on telephone interviews with 1210 adults from around the United States, excluding Alaska and Hawaii." What variable did this poll measure? What population do you think the newspaper wants information about? What was the sample? Are there any sources of bias in the sampling method used?

Answers

Answer:

Can you space it out a bit more to understand better.

Step-by-step explanation:

What type of triangle has 3 sides that are the same length?

Answers

an equilateral triangle.

The answer is an equilateral triangle.

An equilateral triangle is a triangle in which all 3 side lengths are the same.

Hope this helped☺☺

Describe the type of angles formed when you divide a circle into 4 equal parts

Answers

we know that

when a circle is divided into four equal parts, we will get 4 right angles
so
360°/4=90° each part

see the attached figure to better understand the problem

When we divide a circle into 4 equal parts, the angles formed are the right angles.

When a circle is divided into 4 equal parts, we get 4 quarters of the circle.

What is a quarter of a circle?

The area that is intercepted by two radii that are at 90° to each other and a quarter portion of the circumference of a circle is known as a quarter circle.

In a quarter of a circle, the angle between radii is 90 degrees.

So, When we divide a circle into 4 equal parts, the angles formed are the right angles.

Hence, When we divide a circle into 4 equal parts, the angles formed are the right angles.

To get more about circles visit:

https://brainly.com/question/24375372

a new parking lot is being built for a medical office. the expression representing the number of parking spots in the new lot is 15x/4-9 where x represents the number of parking lots in the first row. how many spots are in the parking lot if there are 32 parking spots in the first row?

Answers

111 parking spots. 15x32 = 480 480 divided by 4 is 120 and 120 - 9 = 111

Answer:

The number of spots in the parking lot if there are 32 parking spots in the first row =111.

Step-by-step explanation:

We are given that a new parking lot is being built for a medical office.

We are given that

The expression representing the number of parking spots in the new lot =[tex]\frac{15x}{4}-9[/tex]

Where x= The number of parking lots in the first row

We have to find number of spots in the parking lot when parking spots in the first row is 32.

The number of parking spots in the first row =x=32

Substitute the value of x in the given expression then we get

Number of spots in the parking lot =[tex]\frac{15\times 32}{4}-9[/tex]

Number of spots in the parking lot=[tex]\frac{480}{4}-9[/tex]

The number of spots in the parking lot=120-9

The number of spots in the parking lot=111.

Hence, the number of spots in the parking lot if there are 32 parking spots in the first row=111.

Which word fits in both sentences

after your brother asked a simple question why did you ____ at him?

I made a ____ decision that I regretted later.

A) shout
B) sudden
C) easy
D) snap

Answers

The answer is D) Snap

The correct Answer is Snap

after your brother asked a simple question why did you Snap at him?

I made a Snap decision that I regretted later.

A plane is flying at an altitude of 12,000 meters. From the pilot the angle of depression to the airport is 32. How far is the tower from a point directly beneath the plane?

Answers

76 METERS APART FROM THE AIRPORT

Of the 34 cars in a parking lot, 20 are green, 8 are gold, and the rest are black. What are the odds against the next car leaving the lot being black?

Answers

The odds against the next car leaving the parking lot being black are calculated by finding the number of black cars (6) and using the formula (Total cars - Black cars) : Black cars, which results in odds of 14:3.

To answer the question regarding the odds against the next car leaving the parking lot being black, we need to calculate the number of black cars and then the odds.

There are a total of 34 cars in the lot, with 20 green and 8 gold, so the rest are black.

To find the number of black cars, subtract the number of green and gold cars from the total:
34 (total cars) - 20 (green cars) - 8 (gold cars) = 6 (black cars).

The odds in favor of an event are the ratio of the probability of the event happening to the probability of it not happening. Therefore, the odds against an event are just the opposite -- the ratio of the probability of the event not happening to the probability of it happening.

To calculate the odds against picking a black car, we use this ratio:
Odds against a black car = (Total cars - Black cars) : Black cars
Odds against a black car = (34 - 6) : 6
Odds against a black car = 28 : 6
Odds against a black car = 14 : 3.

So, the odds against the next car leaving the lot being black are 14:3.

D is 32 - g by the way

Answers

[tex]\dfrac{32\ miles}{1\ gallon}\cdot g\ gallons\to\boxed{32g\to C}[/tex]

PLZ HELP!!! 50 POINTS!!!!
What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

cos(x) = 15/29

x = arccos(15/29) = 58.85 degrees (2 d.p.)

cos (x) = 15/29
x = 58.86

hope it helps

What is the square root of 18y over 36y to the third power? - I need to show work!

Answers

[tex]\sqrt{\dfrac{18y}{36y^3}}=\sqrt{\dfrac{18y}{18y\cdot2y^2}}=\sqrt{\dfrac{1}{2y^2}}=\dfrac{\sqrt1}{\sqrt{2y^2}}=\dfrac{1}{\sqrt2\cdot\sqrt{y^2}}=\dfrac{1}{y\sqrt2}[/tex]

[tex]\dfrac{1}{y\sqrt2}=\dfrac{1}{y\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2y}[/tex]

Please write an equation for the problem below! NEED ASAP

Anna is in a phone booth with $1.35 in change. a call home costs 60 cents for the first five minutes and 15 cents for each additional minute. How long can she talk?

Answers

for 10 minutes, if she has 5 minutes to talk we would subtract 60 cents from 1.35 leaving us with 75 cents, so that could be split up into 15 cents 5 times making it 5 more minutes. so she can talk for 10 minutes

I believe she can talk for 11 min bc 60.0 times 2 is 1.20 and when u add 15.0 you get 1.35

Brett colors 25% of the total shapes on his paper he colors 6 shapes enter the total number of shapes on bretts paper

Answers

24 because if 6 is 25%, 25% is 1/4 of 100 so you have to multiply 25 and 6 by 4 to get 24=100%

Based on the information given the total number of shapes on bretts paper is 24 shapes.

Using this formula

Total number of shapes=Number of shapes/Percentage of total sales

Where:

Number of shapes=6

Percentage of total sales=25% or .25

Let plug in the formula

Total number of shapes=6/.25

Total number of shapes=24 shapes

Inconclusion the total number of shapes on bretts paper is 24 shapes.

Learn more here:https://brainly.com/question/24049602

What is the total number of outcomes in the sample space for Tossing a coin and spinning a spinner with 5 equal sections

Answers

2/5 i believe
because a coin has two sides ( heads or tails) then the spinner is 5 equal sections so 2/5 <3
hope it helps

There are 10 possible outcomes in the sample space when tossing a coin and spinning a spinner with 5 equal sections.

When tossing a coin and spinning a spinner with 5 equal sections, the total number of outcomes in the sample space can be calculated by multiplying the number of outcomes for each event.

For the coin toss, there are 2 possible outcomes: heads (H) or tails (T).

For spinning the spinner, there are 5 possible outcomes: each of the 5 sections.

So, the total number of outcomes in the sample space is the product of these two numbers:2×5=10.

Complete question :

What is the total number of outcomes in the sample space for Tossing a coin and spinning a spinner with 5 equal sections?

A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot

Answers

We use the pithagorean formula: x^2 = 130^2 - 50^2 = 16900 -2500 = 14400;
then, x = [tex] \sqrt{14400} [/tex] = 120 feet has the other dimension of the lot.

Final answer:

The other dimension of the rectangular lot is 120 feet.

Explanation:

In a rectangular lot, the diagonal forms a right triangle with the two sides of the rectangle. We can use the Pythagorean theorem to find the length of the other dimension of the lot.

Let's assume that the other dimension of the lot is x feet. The diagonal, which is 130 feet, is the hypotenuse of the right triangle. The two sides of the rectangle are 50 feet and x feet.

Using the Pythagorean theorem, we have:

x2 + 502 = 1302

x2 + 2500 = 16900

x2 = 14400

x = √14400 = 120

Therefore, the other dimension of the lot is 120 feet.

A tree cast a 24 foot shadow. A 5 foot person cast an 8 foot shadow. How tall is the tree ?

Answers

5/8:x/48=
8x=240=30 ft

5•24=120
8x=120
X= 15

help plz !
can someone help with 2 a and 2 b ?

Answers

Molly=4x+10
Ron=20-5x

Molly + Ron=(4x+10)+(20-5x)=(10+20)+(4x-5x)=30-x.

Answer: they have all togehter 30-x

and for the answer for the second question

4x+10-(20-5x)
4x+10-20+5x
9x-10

A bank offers a 6% annual interest rate for a savings account. Marcus puts $8,000 into an account to save for college. How much will be in the account after a year?

Answers

Equation:
0.06(8000)+8000
We can make it simpler:
1.06(8000)
Multiply:
8480
MARCUS WILL HAVE $8480

This room has an oil stain on the floor. Tyler wants to rotate the rug so that it covers the stain. What kind of rotation should be performed on the kite-shaped rug? Be sure to specify the center of rotation and the direction (clockwise or counter-clockwise).

Answers

It needs to be turned 90 degrees to the right

Answer:

Rotate clockwise around right most point.

Step-by-step explanation:

We are given that,

The room has an oil stain as shown in the graph.

It is required to rotate the kite figure to fully cover the stain.

So, we get,

If we rotate the figure clockwise, it will completely cover the stain.

Moreover, the figure should be rotated around the right most point clockwise, which will become the center of rotation.

for questions 1 - 2, what are the excluded functions of the function?
1.) y= 4/9x-45
2.) y= 7/2x+48

Answers

1.) Function of x.[tex]f (x) = \frac{4x}{9} -45[/tex]
Function of y.[tex]f (y) = \frac{405}{4} + \frac{9y}{4} [/tex]
2.)Function of y.[tex]f (y)= \frac{7}{2(y-48)} [/tex]
Function of x.[tex]f (x) = \frac{7}{2x} + 48[/tex]

Camryn practice the trumpet every 11th superscript day and the flute every 3rd superscript day.camryn practiced both the trumpet and the flute today. How many days until camryn practices the trumpet and flute again in the same day?

Answers

To fine when Camryn will practice both the trumpet in the flute again, you will list the multiples of 11 and 3 in order to find the least common multiple.

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33

11, 22, 33

They both will happen on the 33rd day, so Camryn will have both lessons again in 33 days.

If s = 1 over 4 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

The value of A, in square units is:

Step-by-step explanation:

We are given that:

[tex]s=\dfrac{1}{4}\ units\ and A=16s^2[/tex]

We have to determine the value of A

[tex]A=16\times \dfrac{1}{4}\times \dfrac{1}{4}[/tex]

⇒ A= 1 square units

Hence, the value of A, in square units is:

Answer:

I think the answer is 1 sorry I'm late.

Step-by-step explanation:

the coordinates of the three vertices of a triangle are (0,0) (0,4) (4,4). what is the area of the triangle

Answers

Can you see that the height of the triangle is 4 units and the base also 4 units?

The area is thus (1/2)(base)(height) = 8 square units.

Find the area of the shaded region. Use 3.14 for pi. Do not round. Use a calculator. Number 20 and 21. Ty.

Answers

20. square-10+10=20x2=400m^2
circle- 3.14x10^2=3.14x100=314
400-314=86
86m^2

21.i don't get 21 sorry

Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous Powered by LinkIt!

Answers

Part 1:
The parimeter of the square by definition is given by:
P = 4L
Substituting values:
P = 4 (2x + 4)
Rewriting we have:
P = 8x + 16

Part 2:
For x = 5 we have:
P = 8 (5) + 16
P = 40 + 16
P = 56

Part 3:
The area of the square is:
A = L ^ 2
Substituting values:
A = (2x + 4) ^ 2
For x = 3 we have:
A = (2 (3) + 4) ^ 2
A = (6 + 4) ^ 2
A = (10) ^ 2
A = 100

find the value of sin2a, if tana=-12/5 in the fourth quadrant

Answers

[tex]\tan a=-\dfrac{12}5[/tex]

Recall the following identities:

[tex]1+\tan^2a=\sec^2a=\dfrac1{\cos^2a}[/tex]
[tex]\cos^2a=\dfrac{1+\cos2a}a[/tex]

from which we get

[tex]1+\left(-\dfrac{12}5\right)^2=\dfrac1{\cos^2a}[/tex]
[tex]\implies\cos^2a=\dfrac{25}{169}[/tex]

Since [tex]a[/tex] is in the fourth quadrant [tex]\left(\dfrac{3\pi}2<a<2\pi\right)[/tex] we know that [tex]\cos a[/tex] should be positive, so when we take the square root here, we should take the positive root.

[tex]\implies\cos a=\sqrt{\dfrac{25}{169}}=\dfrac5{13}[/tex]

Now recall that

[tex]\cos^2a+\sin^2a=1[/tex]

and since [tex]a[/tex] is in the fourth quadrant, we expect [tex]\sin a[/tex] to be negative. So,

[tex]\sin^2a=1-\cos^2a=\dfrac{144}{169}\implies\sin a=-\sqrt{\dfrac{144}{169}}=-\dfrac{12}{13}[/tex]

One final identity:

[tex]\sin2a=2\sin a\cos a[/tex]

from which we get

[tex]\sin2a=2\cdot\left(-\dfrac{12}{13}\right)\cdot\dfrac5{13}=-\dfrac{120}{169}[/tex]

can yall help me with this tell me your answer step by step plz

Answers

he will have 30 % in 2 years which is 30.00 dollars

Answer:

What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?

Answer is B or # 2

The graph touches, but does not cross, the x–axis at x = ⇒ 4.

The graph of the function crosses the x–axis at x = ⇒ 0

Step-by-step explanation:

if 3x + y = k (x-3), then x =

Answers

Move all terms to the left side and set equal to zero. then set each factor equal to zero
X =[tex] \frac{3k+y}{k-3} [/tex]

for a company outing employees voted their preferences of bowling a movie or a baseball game seventy percent which is 56 employees voted for the movie. what is the total number of employees who voted?

Answers

It would be 42 because 75 % of 56 is 42.

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welcome to my world where answers grow on trees!
if u want the answer to this question and more... come to ME!!
ull find ur self the brainliest that ill give u plus many thanks and rates to amazing people like u!!
lol I made that poem up anyways ur answer would be 42
hope I helped BRAINLIEST??

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