Volume of cylinders, spheres, and cones word problems
A graduated cylinder is filled with 367 cm3 of liquid. The liquid is poured into a different cylinder that has a
radius of 3 cm.
What will the height of the liquid be in the new cylinder?
cm

Answers

Answer 1
The problem is asking for the height of the fluid using the following information:

Volume of fluid
=
V
=
36
π
cm
3
Radius of new cylinder
=
r
=
3
cm


To start the solution, solve for the height
h
in the formula for the volume of a cylinder:

V
=
π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h
=
V
π
r
2
V =π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h =
V
π
r
2


Substituting the values of the volume and the radius, the height of the fluid is:

h
=
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=
4
π
cm
=
12.5663706144

12.6
cm
h =
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=4π cm =12.5663706144≈12.6 cm

Thus, the fluid reaches up to
12.6
cm
12.6
cm
in the new cylinder.

Related Questions

How a find the value of y in y = x-7?

Answers

Answer:

7

Step-by-step explanation:

Accurate information

Please help NEED THE CORRECT ANSWER ASAP!!!!!

Answers

Answer:

correct answer is

A = 32

B= 24

help me!!! solve the inequality!! 8 ≤ x < 6

Answers

hello! the answer to this inequality is no solutions, since there are no values of x for which this can be true.

which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =

Answers

Answer:

[tex] \frac{4}{5} > \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] \frac{4}{5} = 0.8[/tex]

[tex] \frac{1}{2 } = 0.5[/tex]

The answer is C. 4/5>1/2

What is the volume of this container?

Answers

Answer:

1,253 in³

Step-by-step explanation:

The container can be split into two rectangular prisms. Adding their volumes together will give us the volume of the container.

The formula for the volume of a rectangular prism is length×width×height or base×height

Let's substitute!

(l×w×h)+(l×w×h)

=(7×5×5)+(11×14×7)

=175+1078

=1,253 in³

Hope this helps!

The red figure is a dilated image of the blue figure. Which diagram shows the correct
center of dilation?

Answers

Dilating the blue figure to create the red figure ensures that both figures have different sizes

The correct center of dilation is (d)

How to determine the center of dilation?

The center of dilation influences the position of the image of the dilated figure.

For figure 1, the center of dilation would ensure that the red figure is to the left of the blue figureFor figure 2 and 3, the center of dilation would ensure that the red and the blue figure have the same vertexFor figure 4, the center of dilation would ensure that both triangles have the same center

The 4 diagrams show that both figures have the same center

Hence, the correct center of dilation is (d)

Read more about dilation at:

https://brainly.com/question/3457976

find the value of x by factoring x^2-9x-36=0

Answers

(x+12)(x-3) Try this answer hopefully it is correct.

Kara is mixing paint. Each batch has twice as much blue paint as well as yellow paint. Plot points to represent the amount of blue and yellow paint used in three different sized batches.

Answers

(b, y) twice as much blue as yellow

(2, 1)

(4, 2)

(6, 3)

a punch bowl contains 58 fluid ounces of fruit juice. Ishmat adds 2 containers of lemonade to the bowl. Each container holds 6 fluid ounces of lemonade.
How much liquid is in the punch bowl after Ishmat adds the lemonade?
46 fl oz
64 fl oz
66 fl oz
70 fl oz

Answers

Answer:

70 fl oz

Step-by-step explanation:

Find how much is added to the punch bowl.

2 containers and each holds 6 fluid ounces.

2 x 6 = 12

Now find the total amount of liquid by adding the original amount and the amount added.

58 + 12 = 70

A set of cubes, each with sides 1 cm long, is stacked 5 cubes high, 8 cubes deep and 7 cubes long.
How many cubes are in the set?

Answers

Answer:

280 Cubes

Explanation:

This problem has to do with volume. To find the number of cubes in the set, you multiply the length, width, and height of all the cubes. This would look like 7*8*5. This equals 280 cubes.

Given the function f(x)=2x+1/x and f′(1/x)=f(−x).

Find the value of x∈R correct to 3 significant figures.


x=−2.83

x=0.382

x=−1

x=2.83
I NEED A QUICK ANSWER PLSSS

Answers

Z=-2.83 I’m sure I just did this work In Class .

y^3+2y^2+12y+16=28

I really need a step by step explanation because I want to understand. Thank youuuuu! Branliest for explanation :)

Answers

Answer:

[tex]y = 0.835193[/tex] (use the '≈' )

Step-by-step explanation:

[tex]y^3+2y^2+12y+16=28[/tex] (original equation)

[tex]y^3+2y^2+12y+16 - 28 =28 -28[/tex] (subtract 28 from both sides)

[tex]y^3+2y^2+12y-12=0[/tex] (new equation)

then use the cubic formula (i don't really know how to explain the process through a screen. I'm sorry! Hopefully, this helps enough though)

anyone know the answer?​

Answers

V: (-2,1)
Z: (0,1)
E: (-2,-2)
J:(0,-4)

Elaine has three types of nuts, peanuts, cashews and almonds, that she combines and stores in a large container: There are three times as many ounces of peanuts as of cashews. There are 5 more ounces of almonds than cashews_ The total weight of the mixed nuts is 20 ounces: How many ounces are there of peanuts?'

Answers

Answer:

There are 9 ounces of peanuts

Make the ounces of cashews equal to three, and this works! Don’t know the math otherwise :|

pls help me to answer this​

Answers

Answers:

T-shirt = $25

Shorts = $15

Books = $50

Shoes = $30

Cell phones = $750

===============================================

Explanation:

Taking 10% of a number is simply moving the decimal point over one spot to the left.

For example, the selling price of a t-shirt is $250.00 and taking 10% of this gets us to $25.00

As another example, 10% of 150.0 is 15.0

If a whole number ends with a 0, then taking 10% of the number means we chop that zero off.

Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.

Answers

Answer:

C

Step-by-step explanation:

d / rate = time

d / 90  + d/60  = 6 hours

(2d+ 3d)/180 = 6

5d = 1080

d = 216 miles

The distance from NYC to Boston is 216 miles.

We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.

We have to determine distance between NYC and Boston.

What is the formula to calculate the distance travelled by the body moving with speed ' v mph '  for  ' t hours '.

The distance covered by the body will be -

d = v x t

According to question, we have -

Assume that the distance travelled by Steve from NYC to Boston be x.

Then, total distance covered for the round trip = 2x.

From NYC to Boston -

Suppose that in going from NYC to Boston, Steve takes t hours. Then

x =  90 x t            (1)

From Boston to NYC -

Steve will take (6 - t) hours to travel the distance. Then -

x = 60 x (6 - t)         (2)

Now, Equating the equations (1) and (2), we get -

90 x t = 60 x (6 - t)

1.5t = 6 - t

1.5t + t = 6

2.5 t = 6

t = [tex]\frac{12}{5}[/tex] = 2.4 hours

Therefore -

x = 90 x 2.4 = 216 miles

Hence, the distance from NYC to Boston is 216 miles.

To solve more questions on Speed, time and Distance visit the link below -

https://brainly.com/question/24999473

#SPJ2

What is the name of the shape depicted in the graph below?
A. Rose
B. Cardioid
C. Limaçon
D. Lemniscate

Answers

The name of the shape depicted in the graph below is rose, so the answer is A.

Graphs

A rose is a flat curve resembling a symbolic image of a flower. Geometrically, it is the algebraic or transcendent curve whose graph is characterized by a series of windings around a central point.

In the best known cases, these windings produce figures in the shape of a rose window, from which its name derives from.

Learn more about graphs in https://brainly.com/question/14375099

Brian has reduced his cholesterol level by 10% after his last check up. If his original level was 220, what is his cholesterol level now?

Answers

his cholesterol level is now 198


sabir makes a chart to track the total calories he burns on the treadmill Flow
the chart below to show how many calories Sabir will have burned after following
his morning treadmill workout for seven days.
25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 525 550 575 600 625
Calories Burned This Week

Answers

To know how many calories has Sabir burned in his workout, first identify the calories he burnt every day, and then add them.

How to know the total of calories Sabir has burned?

The total of calories burnt is equal to adding the calories burnt everyday:

Total = day one calories + day two calories + day three calories, etc.

Due to this, the steps recommended are:

Identify the number of calories he burned everyday.Add these results to obtain the total.

Here is a hypothetical example:

Day 1: 250 calorieDay 2: 420 caloriesDay 3: 560 caloriesDay 4: 210 caloriesDay 5: 340 caloriesDay 6: 510 caloriesDay 7: 120 calories

250+420+560+210+340+510+120 = 2410 calories.

Note: This question is incomplete because the chart is not given;  due to this, the answer is based on general knowledge.

Learn more about calories in: https://brainly.com/question/10075900

1. what can you say about the sum of the measures of <1 and <3?

Statement.
Reason.

i really need help ​

Answers

[tex]\huge\tt \underline{Question}[/tex]

1. what can you say about the sum of the measures of <1 and <3?

[tex]\huge\tt\underline{Answer}[/tex]

[tex]\tt{Statements:}[/tex]

[tex]m < 1 + m < 3 = 90[/tex]

[tex]\tt{Reasons:}[/tex]

Definition of perpendicularity

[tex] \\ \\ [/tex]

see the picture above

= "i hope it's help"

Use the greatest common factor of 84 and 48 to write the sum 84+48 as a product. Write a whole number in each black.​

Answers

Answer: Below

Step-by-step explanation:

Looking at the numbers, they already seem to be multiples of fours. If we try to scale four up, 12 is the next biggest factor.
84 = 12 * 7
48 = 12 * 4
7 + 4 = 13
12 * 13 = 84 * 48
12 * 13 = 132

-7.5 as a mixed number

Answers

Answer:

[tex]-7\dfrac12[/tex]

Step by step explanation:

[tex]-7.5=-\dfrac{75}{10}=-\dfrac{15}2=-7\dfrac{1}2[/tex]

Last week, Riley worked 7.5 hours per day for 3 days and earned a total of $306.45.

What was Riley's hourly rate of pay last week?

Answers

Answer:

13,62$

Step-by-step explanation:

The total hours Riley worked last week: 7.5*3= 22.5 (hours)

Riley's hourly rate of pay: 306.45/ 22.5= 13.62$

7.5 x 3 = 22.5

306.45 / 22.5 = 13.62

100 POINTS
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?

Answers

The speed of the raft if the speed of the patrol-boat was 12 km/hour, and it caught the raft in 5 hours 20 min later is 2.857 km/hours.

What is the speed of a body?

The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,

[tex]S=\frac{D}{T}[/tex]

Here, (d) is the distance travelled by the body, and (t) is time taken by the body to cover that distance.

A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A.

Total time the patrol boat took in hours is,

[tex]T = 5 + \frac{20}{60}[/tex]

T=5+0.3333

T=5.3333 hours

The speed of the patrol boat is 12 km/hour, and it caught up with the raft 20 km away from point A. Thus, the time taken with this speed to cover 20 km distance is,

[tex]T=\frac{20}{12}[/tex]

T=1.6667 Hours

Thus, the total time is,

T=5.3333+1.6667

T=7 Hours

Now as the raft travel 20 km in 7 hours. Therefore, find the speed of raft by putting the values in above formula as,

[tex]S=\frac{20}{7}[/tex]

S=2.857 kmph

8.2.AP-5
Question Help
What geometric shape may describe a quadrilateral that has exactly two pairs of parallel sides and
no right angles?

Answers

Answer:

parallelogram

Step-by-step explanation:

Parallelograms have two pairs of parallel sides and no right angles.

a ball is dropped from a height of one meter. every time it hits the ground, it rebounds to exactly 2/3 of the previous height. what is the total distance the ball has traveled after its hits the ground for the eigth time?

Answers

Answer:69/56 that is your answer did it help


A taxi hurries 63 miles in 2 hours
5 minutes. What is its average speed in
miles per hour?

Answers

Answer:

30 .24 m/hr

Step-by-step explanation:

2 hours and 5 minutes  = 2  + 5/60  hours = 2 5/60 hrs

63 miles / (2  5/60) = 30.24 m/hr

Step-by-step explanation:

To find the average speed, we must know this formula :

[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{Distance \: Travelled}{Total \: Time \: Taken}}} \\ \\ [/tex]

Also we know that, 2 hr 5 min = 2.083 hrs approximately so,

Now, substituting the given values in the formula :

[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{63 \: miles}{2.083 \: hr}}} \\ \\ [/tex]

[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = 30.24 \: mph}} \\ \\[/tex]

Therefore,

The average speed of the taxi is 30.24 mph

The circumference of a sphere is 18π inches. Find the volume of the sphere in terms of π

Answers

Answer:

volume=12п

Step-by-step explanation:

circumference =2пr

2пr=18п

r=18п:2п

r=9

volume of sphere= (4/3)*п*r

volume=(4/3)*п*9

volume=4*п*3

volume=12п

can someonhelp me with this I'm stuck please help I will give brainlyest​

Answers

Answer:

Table 1:

2 miles = 3520 yards

3 miles = 5280 yards

Table 2:

2 yards = 6 feet

3 yards = 9 feet

Table 3:

2 feet = 24 inches

3 feet = 36 inches

Table 4:

2 yards = 72 inches

Question 5: 4 yards, 130 inches, 10 feet

Question 6: The width of a penny

Step-by-step explanation:

Table 1: Multiply 1760 by 2 (3520), and 3 (5280).
Table 2: Multiply 3 by 2 (6), and 3 (9).
Table 3: Multiply 12 by 2 (24), and 3 (36).
Table 4: Multiply 36 by 2 (72).

Question 5: Convert all measurements to inches (the smallest value).
130 (given)
4 yards = 144 inches
10 feet = 120 inches

In greatest to least, we get 144, 130, 120.

Question 6: The length of a dollar is much wider than 1 inch, and so is a pencil. The width of a penny makes the most sense.

hope this helps!

A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?

Answers

8% of $216 is $17.28
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