A right cylinder has a radius of 7 cm and a height of 3 cm.

Answer the following questions and make sure to *show all your work.*

(a) Find the *Surface Area* of the cylinder

(b) Find the *Volume* of the cylinder

(c) If you wanted more volume in your cylinder, which of these two ideas would give the most *Volume?*
1. Doubling the radius to 14 cm, while the height remains 3 cm.

OR

2. Tripling the height to 9 cm, while the radius remains 7 cm.

Answers

Answer 1

Answer:

V = 141.37 cm³

Surface area = 150.80 cm²

Step-by-step explanation:

Answer:

V = 141.37 cm³

Surface area = 150.80 cm²

i. Doubling the radius to 6 cm, while the height remains 5

Step-by-step explanation:

Given that :

Radius, r = 3cm

Height, h = 5cm

Volume, V of right cylinder :

V = πr²h

V = π * 3² * 5

V = 141.37166

V = 141.37 cm³

Surface Area :

2πr(h + r)

2 * π * 3(3 +5)

18.849555(8)

150.79644

= 150.80 cm²

Volume at r = 6 ; h = 5

V = π * 6² * 5

V = 565.48667 cm³

Volume at r = 3 ; h = 15

V = π * 3² * 15

V = 424.11500 cm³

Answer 2

Answer:

See below

Step-by-step explanation:

Part A

The surface area of a cylinder is [tex]SA=2\pi rh+2\pi r^2[/tex] with [tex]r[/tex] being the radius and [tex]h[/tex] being the height:

[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(7)(3)+2\pi(7)^2\\\\SA=2\pi(21)+2\pi(49)\\\\SA=42\pi+98\pi\\\\SA=140\pi[/tex]

Therefore, the surface area of the given cylinder is 140π cm².

Part B

The volume of a cylinder is [tex]V=\pi r^2h[/tex]:

[tex]V=\pi r^2h\\\\V=\pi (7)^2(3)\\\\V=\pi(49)(3)\\\\V=147\pi[/tex]

Therefore, the volume of the given cylinder is 147π cm³.

Part C

The first cylinder would have a volume of [tex]V_1=\pi(14)^2(3)=\pi(196)(3)=588\pi cm^3[/tex]

The second cylinder would have a volume of [tex]V_2=\pi (7)^2(9)=\pi(49)(9)=441\pi cm^3[/tex]

Therefore, the first cylinder with a radius of 14cm and a height of 3cm gives a greater volume of 588π cm³.


Related Questions

What's the answer for each???

3.12 x 3.6 = ?

7.65 x 9.3 = ?

0.3 x 0.9 = ?

Answers

Answer: Listed Below

Step-by-step explanation:

3.12 x 3.6 = 11.232

7.65 x 9.3 = 71.145

0.3 x 0.9 = 0.27

According to police​ sources, a car with a certain protection system will be recovered 86% of the time. Find the probability that 5 of 6 stolen cars will be recovered

Please help

Answers

Answer:

0.01145

Step-by-step explanation:

Translate the phrase into an algebraic expression.
The sum of 8 and w

Answers

Answer:

8 + w

The sum of 8 and w.

p(x)=ax-b p(1)=5 and p(2)=4   a+b=?

HELP ME PLEASE

Answers

im not really sure about this since i think you can just stop at equation 1

add the binomial (8a + 3) + (a + 2)​

Answers

Answer:

9a+5

Step-by-step explanation:

We add only like terms:

8a+a=9a

3+2=5

9a+5

So 9a+5 would be our final answer

Definitely 97 over 100

Brian invests £990 into his bank account. He receives 5.2% per year simple interest.
How much will Brian have after 2 years? Give your answer to the nearest penny where
appropriate.

Answers

Answer:

$1092.96

Step-by-step explanation:

Based on the given conditions, formulate: 990 × ( 1 + 2 × 5.2% )

Calculate the product or quotient: 990 × ( 1 + 0.104 )

Calculate the sum or difference: 990 × 1.104

Calculate the product or quotient: 1092.96

Round the number: 1092.96

Answer: $1092.96

What is the surface area of this right triangular prism? Enter your answer in the box. in²

Answers

The surface area of the right triangular prism = 720 in²

What is the Surface Area of Triangular Prism?

Surface area of triangular prism = (Perimeter of the triangular base × length of the prism) + (2 × triangular base area)

= (S1 +S2 + S3)L + (bh)

Thus:

S1 = 13S2 = 13S3 = 24L = 12b = 24h = 5

Substitute

Surface area of triangular prism = (13 + 13 + 24)12 + (24)(5)

Surface area of triangular prism = 720 in²

Learn more about surface area of triangular prism on:

https://brainly.com/question/16147227

Answer: The answer is 1200

Explanation: In took the test and it was right

X(y+6)-5(y+6)=( )(y+6)

Answers

Answer:

(x - 5)(y + 6)

Step-by-step explanation:

Hello!

Let's see. Over here we have two sides of an equation with blank space on the right-hand side. It seems that the topic of the question is factoring.

On the left-hand side, we see that 1 factor is common between two other factors (x and -5). To simplify, we can simply add the two values.

x(y + 6) - 5(y - 6) would be the same as (x-5)(y-6) => your answer

We can check if our equation is true.

x( y + 6) - 5(y + 6) = (x-5)(y + 6)

xy + 6x - 5y -30 = xy - 5y + 6x - 30

xy + 6x - 5y - 30 = xy + 6 - 5y - 30

Both equations are the same

a. If the dog house is 8 inches wide on the scale drawing, how wide is the
dog house in real life?
feet

Answers

Answer: If the dog can fit in there it’s not a problem u don’t need to know the inches that’s what she said

Step-by-step explanation:

An item on sale costs 25% of the original price. The original price was $55.
Use the ALEKS calculator to find the sale price.

Answers

25% of 55
Of means times
So
25% * 55
Or you can write 25% as a decimal
If you need any more help comment

Which linear equation can be derived from this proportion?

Answers

Answer:

You're ANSWER IS CORRECT !

( A )

Step-by-step explanation:

[tex]\frac{(x-9)(5)(x-3)}{x-3} = \frac{2(5)(x-3)}{5}[/tex]

5( x - 9 ) = 2( x - 3 ) -- cross multiply

5x - 45 = 2x - 6

OR...

2x - 6 = 5x - 45

Match the base to the corresponding height.
Base (b)
Height (h)

Answers

Answer:

Base A and Height B

Base C and height A

Base B and Height C

Bacially Base would be The Bottom 8 and than a height would be 9

Write an inequality for the situation. The value, v, of the necklace is greater than $83

Answers

Hi There!

Inequality:

v>83

This inequality says that

v is greater than $83.

Hope it helps!

Have an awesome day!

[tex]\huge\text{TheStarryNights :D}[/tex]

❗❗100POINTS❗❗+BRAINLIEST FOR CORRECT ANSWER
Show that 8x²-6x-275=0
thanks. ​​

Answers

Answer:

(4x -25), (2x + 11)

Step-by-step explanation:

STEP1: Equation at the end of step 1

(23x2 - 6x) - 275

STEP2: Trying to factor by splitting the middle term

 2.1     Factoring  8x2-6x-275 

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -275 

Step-1 : Multiply the coefficient of the first term by the constant   8 • -275 = -2200 

Step-2 : Find two factors of  -2200  whose sum equals the coefficient of the middle term, which is   -6 .

     -2200   +   1   =   -2199     -1100   +   2   =   -1098     -550   +   4   =   -546     -440   +   5   =   -435     -275   +   8   =   -267     -220   +   10   =   -210     -200   +   11   =   -189     -110   +   20   =   -90     -100   +   22   =   -78     -88   +   25   =   -63     -55   +   40   =   -15     -50   +   44   =   -6   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -50  and  44 

                     8x2 - 50x + 44x - 275

Step-4 : Add up the first 2 terms, pulling out like factors :

                    2x • (4x-25)

              Add up the last 2 terms, pulling out common factors :

                    11 • (4x-25)

Step-5 : Add up the four terms of step 4 :

                    (2x+11)  •  (4x-25)

             Which is the desired factorization

Final result :

(4x - 25) (2x + 11)

Hope this helps a bit

[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(Sum\:of\: parallel\:sides)(Height)=133[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(x+5+3x-2)(2x-3)=133[/tex]

[tex]\\ \rm\hookrightarrow 4x+3(2x-3)=266[/tex]

[tex]\\ \rm\hookrightarrow 4x(2x-3)+3(2x-3)=266[/tex]

[tex]\\ \rm\hookrightarrow 8x^2-12x+6x-9=266[/tex]

[tex]\\ \rm\hookrightarrow 8x^2-6x-275=0[/tex]

The number of pollinated flowers as a function of time in days can be represented by the function.
f(x)=(3)^(x/2)
What is the average increase in the number of flowers pollinated per day between days 4 and 10?
Enter your answer in the box.

Answers

So in this case f(x) is number of pollinated flowers and x is the days. First you will need to determine the number of flowers pollinated at days 4 and 10 and the days in between.  f(4)= 3(4^2)= 3*16 = 48  f(5)= 3(5^2)= 3*25 =75  f(6)= 3(6^2)=3*36=108  f(7)= 3(7^2)=3*49=147  f(8)= 3(8^2)=3*64=192  f(9)= 3(9^2)= 3*81=243  f(10)= 3(10^2)=3*100=300    Now we need to find the average increase, so that will be the average of the differences between days  [(75-48)+(108-75)+(147-108)+(192-147)+(243-192)+(300-243)]/6  =(27+33+39+45+51+57)/6=42

WHATS NUMBER 14 ???THIS IS GEOMETRY BTW

Answers

Answer:

576

Step-by-step explanation:

as the shape is a square and the dot is the mid point

the base of the square will be 12 + 12 = 24

then 24 × 24 = 576

Ratio + Bozo Ratio + Bozo Ratio + Bozo

find the amount and compound interest on tzs2500 for 24months at 10%per annum, compounded annually​

Answers

amount and compound interest on tzs2500 for 24months at 10%per annum, compounded annually

What is 366in to yard inch?

Answers

Answer:

10.167 yd is equal to 366 in

A right cylinder has a radius of 3 cm and a height of 7 cm.

Answer the following questions and make sure to show all your work.

(a) Find the Surface Area of the cylinder.

(b) Find the Volume of the cylinder.

(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?

1. Doubling the radius to 6 cm, while the height remains 7 cm.

-OR-

2. Tripling the height to 21 cm, while the radius remains 3 cm.

Answers

Answer:V = 141.37 cm³

Step-by-step explanation:V = 141.37 cm³Surface area = 150.80 cm²i. Doubling the radius to 6 cm, while the height remains 5Step-by-step explanation:Given that :Radius, r = 3cmHeight, h = 5cmVolume, V of right cylinder :V = πr²hV = π * 3² * 5V = 141.37166V = 141.37 cm³Surface Area :2πr(h + r)2 * π * 3(3 +5)18.849555(8)150.79644= 150.80 cm²Volume at r = 6 ; h = 5V = π * 6² * 5V = 565.48667 cm³Volume at r = 3 ; h = 15V = π * 3² * 15V = 424.11500 cm³

can you solve that ?​

Answers

Answer:

[tex]5 \frac{5}{6} [/tex]

Step-by-step explanation:

[tex]1 \frac{5}{12} + 4 \frac{5}{12} = 5 \frac{10}{12} [/tex]

5 10/12 can be simplified and that would be

[tex]5 \frac{5}{6} [/tex]

Identify the terms, like terms, coefficients, and constants in the expression 5a+2+7+6a

heeellpp mee faastt plleeass

Answers

ANSWER:

Terms: 5a,2,7,6a;

Like Terms: 5a,6a;2,7;

Coefficients: 5,6;

Constants: 2,7

Hope it helps brainliest if correct !

Answer:

5a and 6a are like terms. 2 and 7 are constants, 5a, 2, 7, and 6a are terms, and 5 and 6 are coefficients.

Step-by-step explanation:


1. Mabonka went to Staples to buy some school supplies for the new school year. She
only paid $21 for the items, but there was a 30% off sale. What was the original price
of the school supplies?

Answers

Answer:

$70

Step-by-step explanation:

x × 0.30 = 21

reverse

21 ÷ 0.30

=70

Original Price was $70

What is the volume of this rectangular pyramid?
3 cm
3 cm
4 cm
cubic centimeters

Answers

Answer:

36 cm hope this helps

Step-by-step explanation:

3×3=9×4=36

Question 2
Thank youuuu

Answers

Answer:

x=16⁰

Step-by-step explanation:

I AM NOT QUITE SURE OF THE ANSWER, but they are vertically opposite angles which in turn means that they are equal.

so you can equate the two sums they have given.

3x-3 = 2x+13

Take the numerical terms onto the right hand side and the 'x-terms' to the left hand side.

3x-2x = 13+3

That would leave you with,

x=16

Solve the system of equations:
X+y+z=5
-3x-4y+4z=15
2x-y-4z=-8

Answers

Answer:

  (x, y, z) = (3, -2, 4)

Step-by-step explanation:

The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...

  z = 5 -(3 +(-2)) = 4

The solution is (x, y, z) = (3, -2, 4).

__

Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:

  [tex]\left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right][/tex]

__

If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:

  -3x -4y +4(5 -x -y) = 15   ⇒   -7x -8y = -5

  (-3x -4y +4z) +(2x -y -4z) = (15) +(-8)   ⇒   -x -5y = 7

This pair of equations can be solved for x and y in any of the usual ways. Using the second equation to substitute for x, for example, gives you ...

  -7(-5y -7) -8y = -5   ⇒   27y = -54   ⇒   y = -2

  x = -5(-2) -7 = 3

  z = 5 -(3) -(-2) = 4

_____

Additional comment

If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.

i really need someones help ):

Answers

Answer:

I think you must be adding or multiplying each number across.

Step-by-step explanation:

A = { 4, 6, 8, 9 } B = { 3, 5, 8 } A ⊕ B =

Answers

Answer:

37 pls brain list me pls.

Use the figures below to answer the questions that follow

Answers

Answer:

Part 1 (a) ABH, DCG, or ACG

Part 1 (b) BHJD, ACG, or DCG

Part 2 (a) ABH, ACG, or BHJD

Part 2 (b) BHJD, ABH, or CGD

Part 3 HGJ, BHGC, or HGFE

Step-by-step explanation:

pls brainlieste

The probability of a student successfully completing an assignment before the due date is 0.65. If ten students are selected at random, what is the probability that at least 8 but at most 10 students will complete their assignments before the due date

Answers

Using the binomial distribution, it is found that there is a 0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.

For each student, there are only two possible outcomes, either they complete the assignment, or they do not. The probability of a student completing the assignment is independent of any other student, hence the binomial distribution is used to solve this question.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

The probability of a student successfully completing an assignment before the due date is 0.65, hence p = 0.65.Ten students are selected at random, hence n = 10.

The probability is:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{10,8}.(0.65)^{8}.(0.35)^{2} = 0.1757[/tex]

[tex]P(X = 9) = C_{10,9}.(0.65)^{9}.(0.35)^{1} = 0.0725[/tex]

[tex]P(X = 10) = C_{10,10}.(0.65)^{10}.(0.35)^{0} = 0.0135[/tex]

Then:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1757 + 0.0725 + 0.0135 = 0.2617[/tex]

0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.

More can be learned about the binomial distribution at https://brainly.com/question/14424710

I don’t know how to start this questiom

Answers

I don’t know how to answer
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