A Right Cylinder has a radius of 3 cm and a height of 5 cm.

a. Find the Surface Area and Volume of the Right Cylinder.

Answer (Show Work):

b. If you wanted more volume in your cylinder, which of these two ideas would give the most Volume:

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

OR

ii. Tripling the height to 15 inches, while the radius remains 3cm

Answer (Show Work):

Answers

Answer 1

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

To increase volume,


Related Questions

Use synthetic division to find the result when 2x^4+11x^3+11x^2-15x-18 is divided by x-2?

Answers

at first write the first coefficient just below it then multiply with 2 ( if there is x-2 we should take 2 and vice versa ) keep repeating this process

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Answers

Answer:

[tex]\displaystyle \sqrt{34}\:units ≈ 5,8\:units[/tex]

Step-by-step explanation:

No matter what happens to the shape, except for dilation, the sise will be the same, so just insert the lengths of the altitude and base into the formula, no matter if it is point D or B because of the Reflexive Property:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 3^2 + 5^2 = c^2 → 9 + 25 = c^2 → 34 = c^2 \\ \\ \sqrt{34} = \sqrt{c^2} \\ \\ 5,830951895 ≈ c → 5,8 ≈ c[/tex]

I am joyous to assist you at any time.

PLS HELP FAST WILL GIVE BRAINLIEST

Answers

Answer:

ASA

Step-by-step explanation:

Geometry student reference sheet

Answers

Answer:

i am so sorry but i need points a=5

Please help me thank you so much!!!!!!!!

Answers

2.5m x 2 hope it helps your welcome

3. What are the intersection points of the line whose equation is y=3x +3 and the
circle whose equation is (x - 2)² + y2 = 25?

Answers

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

                                   → (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = [tex]\frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}[/tex]

x = [tex]\frac{-7\pm \sqrt{169}}{10}[/tex]

x = [tex]\frac{-7\pm13}{10}[/tex]

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Jessica has 1,386 books. She must pack them into boxes to ship to a bookstore. Each box holds 10 books. How many boxes will she need to pack all of the books?

Answers

You would divide then round up 1,386÷10= 139

The 15th term of an arithmetic sequence is 110 and the 19rd term of the sequence is 134.
a) Find the common difference.
b) Find the first term.
c) What is the 25th term?

Answers

Step-by-step explanation:

a) Common Difference = ?

15th term = 110

19th = 134

134 - 110

= 24/4

= 6

Common Difference = 6

b) First term = ?

110 = x+ (14) 6

x = 110 - 84

x = 26

First term = 26

c) 25th term = ?

= x 25 = 26+ (25)6

= x 25 = 176

25th term = 176.

You are a T.V. salesperson who gets an 8% commission. How much commission do you
get when you sell a $400 T.V.?

Answers

Answer:

400 x 8% = $32.00

Step-by-step explanation:

Please tell me the steps to get to the answer.​

Answers

Answer:

10 cm x 15 cm i think

Step-by-step explanation:

Answer:

Area = 1/2 bh

Step-by-step explanation:

10 x 15 = 150/2 which is 75

Need help ASAP!!!!!!!!

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Answer:

24/35

Step-by-step explanation:

I will mark Brainlyst

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I think it is D
(I think)

The radius of the circle is given in meters. What is the circumference of the circle? Use
3.14 for a pi

Answers

Answer:

50.24 meters

Step-by-step explanation:

The equation for the circumference of a circle: 2πr

2 x 3.14 x 8 = 50.24

A physicist needs 3,220 g of titanium to complete an experiment. She has 3 kg. How many more
kilograms of titanium does she need?
The physicist needs kg more.
(Type an integer or a decimal.)

Answers

Answer: 0.22kg

Step-by-step explanation:

if she has 3 kg then she has 3000 g. 3220-3000=220 So she needs 220 more grams of titanium. If she needs to convert how much more from grams to kilograms then 220g= 0.22kg so she needs 0.22 kg more

To check work

3kg+0.22kg= 3.22kg

3.22kg= 3,220g

Help plz Its due today and I need help so if u would plz answer I would appreciate it

Answers

The answer is C because u have to combine the like terms in this problem you would subtract the two problems

ok, I need help now! this is due very soon. please no spam, I need an actual answer.


Find the perimeter of the trapezoidal brick to the nearest tenth of an inch.

Answers

In order to do this you would have to use the Pythagorean Theorem which is a^2 +b^2 =c^2. Because we know that the top line is equal to 5 inches then you can assume that the line from the line that equals 3 inches to the left bottom left corner of the trapezoid equals 2 inches because this trapezoid is signifying that both sides are equal. So then you would use the Pythagorean Theorem to find the two unknown sides by doing 2^2 +3^2=c^2 when you combine like terms, it comes out to be 13=c^2 which when you square root it, equals about 3.6. So then you know that each of the unknown sides equal 3.6, so then you add them all up to get 3.6+5+3.6+9=21.2 inches Hope this helps

With a coupon, you can get a pair of shoes that normally costs $96 for $72. What percentage was the discount?

Answers

Answer:

25%

Step-by-step explanation:

96 - 72 = 24

24/96 = 0.25

0.25 = 25%

hope this helps!!

Answer:

The discount is 25%.

Step-by-step explanation:

Because you're solving for the discount, that means you have to set up the equation 72 = 96x, where x is the percent of the original price. The percent would then be 1 - x, and that would be 25% as your answer.

In ΔSTU, the measure of ∠U=90°, ST = 67 feet, and TU = 14 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

i need a number for this question !!!! hurry pleasee !!!!!!

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Answer:

1

Step-by-step explanation:

every output has a different input so the answer would be one

Answer:

A function is a specific type of relation in which each input value has one and only one output value. An input is the independent value, and the output value is the dependent value, as it depends on the value of the input.

A mirror is placed on the ground between a 6 ft person and a
tree. If the mirror is 8 feet from the person and the distance
between the mirror and tree is 26 feet, find the height of the tree.

Answers

Answer:

Step-by-step explanation:

h/26=6/8

h=26(6)/8

h=19.5 ft

Find the measure of each angle.
Pls help I’m so confused

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Answer:

1: 63°

2: 117°

3: 63°

jjskwnwb

PLEASE, help! thank u
4th time

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Answer:

I do not no the answer but I had an assignment on khan like this before so maybe check khan academy if u haven't yet

Remember that vertical angles are congruent and same side exterior angles are congruent, and that suppelmentary angles are 180° total.

a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for T.


b. What percent of the perimeter of the
square is the circumference of the
circle?

Answers

Answer:

Step-by-step explanation:

a. The diameter of the circle will be 30 cm

So circumference is 3.14 * 30  = 94.2 cm.

b. Required percentage = (94.2) * 100 / (4*30)

= 78.5%.

hey guys! Please help this is an important homework grade and could bring me down a lot. If you help I would appreciate it so much. If answer is right I will mark you brainliest. Have a good night.

Answers

Answer:

[tex]y = x - 8[/tex]

Step-by-step explanation:

Slope-intercept form is:

[tex]y = mx + b[/tex]

Where m = slope and b = y-intercept.

It is stated that the slope of the line is 1.

It is stated that the line includes the point (0, 8)

To find the y-intercept, we can just inverse the slope-intercept form to solve for b.

[tex]b =y-mx[/tex]

We know that the point (8, 0) falls on the line, so that's what we'll use for x and y.

Then, we just have to plug those numbers in, as well as the slope.

[tex]b = 0 - (1)(8)[/tex]

Simplify.

[tex]b = 0 - 8[/tex]

Simplify again.

[tex]b = -8[/tex]

Now, we know that b = -8.

All we have left is to plug the slope and y-intercept into the slope-intercept form.

[tex]y = x - 8[/tex]

Is the product of two binomials always a trinomial? Give an example to support your answer.

Answers

Answer:

Consider: (a+b)(a-b)=a^2-ab+ab-b^2=a^2-b^2. This is a binomial. Hence, it is not always true that the product of two binomials is a trinomial.

Step-by-step explanation:

(a+b)(a-b)=a^2-ab+ab-b^2=a^2-b^2. This is a binomial. Hence, it is not always true that the product of two binomials is a trinomial.

Please help it’s due today

Answers

Answer: C f(x) = 16*(1/2)^ (x-1)

Step-by-step explanation:

You are dividing by 2 each time

A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy?​

Answers

Answer:

80 + 15x ≤ 300

Step-by-step explanation:

max amount = $300

already spent = $80

$300 - 80 = $220

shirts = $15 each

80 + 15x ≤ 300

$80 that is already spent + $15x ≤ $300 maximum

x = number of shirts

Pls help ASAP
Simplify [tex]\sqrt{.64x^2}[/tex] if [tex]x\leq 0[/tex]
The answer is not (4/5)x

Answers

You actually got it correct! Chances are they just want it in decimal form: 0.8x

I need help please! Thank you.

Answers

Answer:

Step-by-step explanation:

< UTY + <RWX = 180°

( same side interior angle theorem ) → < UTY + <RWX = 180°

Help i have 10 mins left

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Answer:

I love you

Step-by-step explanation:

mhuuuuaaaaa good luck

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