. A rectangular sheet of dimensions 33 cm x 24 cm is rolled into a cylinder so that the smaller side becomes the height of the cylinder. Find the volume of the cylinder so formed.

Answers

Answer 1

Answer:

[tex]V=2078.16\ cm^3[/tex]

Step-by-step explanation:

A rectangular sheet of dimensions 33 cm x 24 cm is rolled into a cylinder so that the smaller side becomes the height of the cylinder.

h = 24 cm

and the circumference of the cylinder, C = 33 cm

[tex]2\pi r=33\\\\r=\dfrac{33}{2\pi}\\\\r=5.25\ cm[/tex]

We need to find the volume of the cylinder so formed. The formula for the cylinder is given by :

[tex]V=\pi r^2h\\\\=\pi \times 5.25^2\times 24\\\\=2078.16\ cm^3[/tex]

So, the volume of the cylinder so formed is [tex]2078.16\ cm^3[/tex].


Related Questions

11.25divided by 35.5

Answers

Step-by-step explanation:

[tex]\huge\bold\purple{ 0.316 }[/tex]

                   

Answer:  0.31690140845=(rounded thousandths) 0.317 or

0.32 (rounded hundredths)

Step-by-step explanation: i think if you are dividing 11.25 into 35.5

solve this math problem. Estimate it by giving whole number. Show working also. (ESTIMATE, NOT WORK OUT) :)​

Answers

Answer:

(a) 11.

(b) 5.

Step-by-step explanation:

(a)√124:

11*11 = 121 so an estimate is 11.

(b) ∛124

5*5*5 = 125

So an estimate is 5.

Are there concepts/processes to strictly follow in writing radicals as expressions with rational exponents?

Answers

Answer:

The concept or process is [tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex].

Step-by-step explanation:

Consider the provided information.

The following property can be used to rewrite each radical as an exponent.

The numerator tells the power of the resulting rational exponent, and the denominator of the rational exponents tells the root of that number.

[tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex]

For example:

[tex](27)^{\frac{2}{3}}=(\sqrt[3]{27})^2[/tex]

[tex](27)^{\frac{2}{3}}=(3)^2[/tex]

[tex](27)^{\frac{2}{3}}=9[/tex]

Hence, the concept or process is [tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex].

Which is an equation of a direct proportion?

Answers

Answer:

y=-3x

Step-by-step explanation:

The meaning of direct proportion is that the ratio remains the same, and the ratio will only remain the same if y= a constant number into x

SOMEONE PLEASE HELP I NEED THIS IN LIKE 10 MINUTES THANKS
The graph of f(x) = (0.5)* is replaced by the graph of g(x) = (0.5)* – k. If g(x) is obtained
by shifting f(x) down by 7 units, then what is the value of k?
k=1
k=-1/7
k=7
k=-7

Answers

Answer:

what grade

Step-by-step explanation:

to know the rule

can you help me please ​

Answers

Answer:

(2,1)

Step-by-step explanation:

Solve the inequality:
2(x = 5) > 4

Answers

Answer:

x>-3 (if the = is meant to be +)

Step-by-step explanation:

Distribute the 2: 2x+10>4

Subtract 10 from both sides: 2x>-6

Divide both side by 2: x>-3

Hello can anyone help me with this ? Thank you ill mark brainless

Answers

Answer:

[tex]\huge\boxed{n=5m}[/tex]

[tex]\huge\boxed{55 \ \text{novels}}[/tex]

Step-by-step explanation:

With this word problem, we can model it into an equation which we can interpret to find values.

If we need to read 5 novels per month and n represents the amount of novels read in m months, we know that n will be the dependent variable (y) as it's a direct function of the number of months. This makes m the independent variable (x).

Since there are 5 novels a month, the equation will be 5 times the number of months equals the number of novels per month.

aka - [tex]n=5m[/tex]

We can now substitute inside the equation with 11 months as m, and find the value of n.

[tex]n = 5 \cdot 11[/tex] [tex]n=55[/tex]

Hope this helped!

Answer:

The answer is 55

Step-by-step explanation:

Because for every 1 month he reads 5 books

if you do 5 times 11 you get 55

and to check your answer you divide 55 by  5 you get 11

so your equation would be 5 times 11

and your answer would be 55.

hope this helps ;)

The triangle's base and corresponding height are labeled.
Find the area of the triangle.
Area
square units

Answers

What’s something goes up but never comes down?

Decrease £14132.77 by 4.5%
Give your answer rounded to 2 DP.

Answers

14132.77x0.955=£13496.80


Evaluate
35.63% of 446.51cm
Give your answer rounded to 2 Dp

Answers

Answer:

159.09

Step-by-step explanation:

.3563 * 446.51 = 159.09

(b)Newton has bought 12 dozen copies in Rs 4320. His expenditure to bring the copies
to his shop is Rs. 288. How much profit does he make in one copy after selling all
copies in Rs. 5760? Also how much profit in percent did he get in the business of
copy? Find it.​
Plz answer

Answers

Answer:

He made a profit of 40-32 = Rs 8 per copy.

He got a 25% profit in the business of copies

Step-by-step explanation:

Newton buys and sells copies in his business. He bought 12 dozen = 12*12=144 copies in Rs 4320.

He also has Rs 288 in expenses to bring the copies to his shop, thus the total cost is 4320+288=4608.

Each copy finally cost 4608/144 = Rs 32.

He sold all copies for Rs 5760, at 5760/144= Rs 40 each.

Therefore, he made a profit of 40-32 = Rs 8 per copy.

The total profit in his business of copies was 5760 - 4608= 1152

This is a percentage of:

[tex]\frac{1152}{4608}*100 = 25\%[/tex]

Help me out ( I give out Brainliest)

Answers

Answer:

y = 4x -1

I think this is correct

Answer:

y=4x-1

Step-by-step explanation:

What we are doing here is isolating the y variable, and/or solving for y in terms of x. We add y to both sides then subtract 1 from both sides to get y=4x-1. Also, this problem is worded incorrectly and should be worded as 'solve for y in terms of x,' or 'isolate y.'

I'll GIVE BRAINLY THING

The cost of 6 sandwiches and 4 drinks is $50. The cost of 3 sandwiches and 6 drinks is $74. How much does one drink cost?

$1.50

$1.75

$2.50

$3.00

Answers

let sandwiches and drinks be s and d resp so according to the question,
by 1st case,
6s + 4d = 53
or, d = (53-6s)/4
again by 2nd case,
4s + 6 d = 47
4s + 6(53-6s)/4 = 47
or, (8s +159-18s)/2=47
or 159-10s = 94
or 65 =10s
or, s = $6.5

I'm done with this test, just exhausted from it. Brainly do your magic.

Answers

Answer:

4.5

Step-by-step explanation:

when the height is 0 the ball will hit the ground

so the equation is

-12t²+54t=0

12t²-54t=0

2t²-9t=0

t(2t-9)=0

t=0

t=4.5

so the answer is

4.5

Find the distance between the two points rounding to the nearest tenth
(if necessary).
(8,-4) and (1, -7)

Answers

Answer:

Step-by-step explanation:

The x difference:

8 - 1 = 7

The y difference:

-4 - -7 = 3

Distance:

7² + 3² = 58

√58 ≅ 7.62

Please Thank and Mark as Brainliest!

HELPP PLEASE WITH EXPLANATION THANK YOUU!!

Answers

Answer:

Step-by-step explanation:

25 feet per minute

in 10 minutes

25ft*10=250ft

the diver is 250+200=450

the diver was at 450 below the sea level

Answer:

450 feet below sea level

Step-by-step explanation:

So:

We are looking at 10 minutes ago. If he is being pulled up, that means before he was even more down.

Therefore 25 feet is 1 minute so 10 minutes is 250 feet.

As he was more down below sea level you add 200 feet below sea level with 250 feet below sea level.

This will give you 450 feet below sea level.

I hope this helps!

Please can I have brainliest?

Also can you thank my answer and rate it 5.

:)

Help pleaseeeee?????

Answers

Answer:

A. 4x-10

Step-by-step explanation:

We see that this is a rectangle. To find the perimeter, we do L+W+L+W. So in this case, we can do (x+2)+(x-7)+(x+2)+(x-7). We can also simplify this to   2(x+2)+2(x-7)

Combine like terms now.

Simplify this to:

2x+4+2x-14

Simplify further:

4x-10

Answer:

4x-10

Step-by-step explanation:

The perimeter is the total around a shape.  That means there will be two copies of each equation.

2(x+2)= 2x+4

2(x-7)= 2x-14

Add the two equations together and simplify.

2x+4+2x-14=

Add the like terms 2x together.

2x+2x= 4x

Keep doing the problem

4x+4-14

Solve 4-14 which equals -10

4x-10

how many groups of 2/3 are In 3/5

A)9/15
B) 9/10
C) 1 1/3
D) 1 1/9​

Answers

Answer:

I believe the answer is C.

Explain why the statement is incorrect

Answers

Answer:

The angle sign doesn't look like 56.6 degrees

Step-by-step explanation:

What is the measure of ABC

Answers

Answer:

118°

Step-by-step explanation:

That was as simple as asking this kinda questions.

HELPPP

Ali and Jake went on a cross-country
trip. They took a train part of the way,
and took a bus the rest of the way. They
traveled a total of 1100 kilometers,
riding on the train 350 more kilometers
than on the bus.
Let x = kilometers traveled by bus. Let
y = kilometers traveled by train.

Answers

Answer:

so what are we trying to figure out?

Step-by-step explanation:

Find X in the given pic

Answers

Answer:

A(9) is the very correct answer

Rewrite the following equation in slope-intercept form.

x − 19y = 16


Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Pretty Sure it’s y=x+(-.8) haven’t done algebra in a bit. Sorry if wrong. :/

I am ust typing this so it will let me post this But Please Help

Answers

Answer:

[tex] {4}^{3} = 64[/tex]

Step-by-step explanation:

[tex] \frac{ {4}^{8} }{ {4}^{5} } = {4}^{3} [/tex]

Subtract the numerator exponent from the denominator exponent.

[tex]8 - 5[/tex]

3n^2 + 8n + 16 = 2n^2

Answers

Answer:

=11n+2+8n+16+2n+2 simplification is 11n+20+2N

Step-by-step explanation:

Evaluate the expression x2 + 6 for x = 4
16
22
14
12

Answers

4 times 2 is 8, 8+6 is 14

For every 4 small popcorns sold at the theater there were 3 large popcorns sold. If the theater sells
24 small popcorns, how many large popcorns did they sell?


(HURRY PLEASE)

Answers

Answer: 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

4 goes into 24 6 times so you would minus 6 from 24 so 24-6= 18

Ignore number 6, I need help with number 5. Please help!!!

Answers

Answer:

the answer would be 47.75981574 or 47.76

Answer:

3- 47.76

Step-by-step explanation:

hundredth is the 2 place after decimal, so we can also say 2 d.p for rounding to the nearest hundredth

Factor the expression 5x + 10

Answers

Answer:

5(x+2)

Step-by-step explanation:

When factoring, always use the greatest common factor (GCF) method first. 5x and 10 have a GCF of 5, so this is applicable. Divide each factor by 5:

(5x)/5=x

10/5=2

Now, factor 5 out of 5x+10:

5(x+2)

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