A solid circular cylinder has a base radius 5 cm and a height 12.5 cm. Find the approximate increase in the surface area of the cylinder when the radius of the base increases to 5.05

Answers

Answer 1

Answer:

19.72 cm²

Step-by-step explanation:

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.

The volume of cylinder is given by :

[tex]V=\pi r^2 h\\\\=3.14\times (5)^2\times 12.5\\\\=981.25\ cm^2[/tex]

When r = 5.05, new volum becomes,

[tex]V=\pi r^2 h\\\\=3.14\times (5.05)^2\times 12.5\\\\=1000.97\ cm^2[/tex]

Increase in area = 1000.97 - 981.25 = 19.72 cm²

So, the increase in surface area of the cylinder is equal to 19.72 cm².


Related Questions

If the gradient of the line segment joining (-3,7 ) and (4,p) is 3/5 ,find p

Answers

Answer:

a

Step-by-step explanation:

find z and x please

Answers

Answer:

x = 20

X was found using the Pythagorean theorem

Step-by-step explanation:

suppose g(x)=f(x+1)+5.which statement best compares the graph of g(x) with the graph of f(x)

Answers

Answer:

g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)

Step-by-step explanation:

g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)

Find the value of x.

Answers

Answer:

x = 11

Step-by-step explanation:

Naina went on a trip. She covered a distance of 34 Kilometre 46 metre by car, 143 kilometre 92 metre by train, 5 kilometre 92 metre by bus, 2 kilometre 60 metre on bullocks and 1.3 kilometre on foot. How much distance did she cover.

Answers

Answer:

185590 m

or 185 km 590 meters

Step-by-step explanation:

to calculate total distance covered, convert km to meter and adding the numbers together

1km = 1000m

34 Kilometre 46 metre = (34 x 1000) + 46 = 34046m

143 kilometre 92 metre = ( 143 x 1000) + 92 =  143,092m

5 kilometre 92 metre = (5 x 1000) + 92 = 5092

2 kilometre 60 metre = (2 x 1000) + 60 = 2060

1.3 km = 1.3 x 1000 = 1300

What is 721295.198715 rounded to the nearest tenth

Answers

Answer:

The answer is 721295.2

Answer:

721,295.2

Step-by-step explanation:

I used the "Rounding Numbers Calculator" on Calculator Soup

can anyone help me on absolute deviation

Answers

Answer:

what do you need help with?

Step-by-step explanation:

What is the probability of rolling a 20-sided number cube to a number that is prime or a multiple of 3?

Answers

Answer:

Probability of rolling a prime or multiple of 3 = 13/20

Probability of rolling a prime = 2/5

Probability of rolling a multiple of 3 = 3/10

Step-by-step explanation:

let's list primes and multiples of 3 from 1 to 20

Primes:

2 3 5 7 11 13 17 19

Multiples of 3:

3 6 9 12 15 18

Primes OR multiples of 3

2 3 5 6 7 9 11 12 13 15 17 18 19

There's 13 of them, so the probability of rolling a prime or multiple of 3 is 13/20

Probability of rolling a multiple of 3 is 6/20 = 3/10

Probability of rolling a prime is 8/20 = 2/5

Answer:

0.6 or [tex]\frac{12}{20}[/tex] or [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Here are the multiples of 3 (that are 20 or below) :

369121518

Here are the prime numbers (that are 20 or below):

235711131719

Some numbers are repeated in the two lists.

Here are all the numbers:

235679111213151819

12 numbers are prime or a multiple of 3.

As a fraction it will be [tex]\frac{12}{20}[/tex], or simplified to [tex]\frac{3}{5}[/tex]

As a decimal it will be 0.6

I hope it helped!

Find m < RQP



Question 1 options:

70°


55°


80°


90°

Answers

Answer:

80°

78% positive

The measure of the unknown angle is 70 degrees

In circle geometry, there is a theorem that states that the angle at the centre of a circle is twice the angle at the circumference

Given the following parameters;

Angle at the circumference = x

Angle at the centre = 140 degrees

Using the given theorem;

140 = 2x

Swap

2x = 140

x = 140/2

x = 70

Hence the measure of the unknown angle is 70 degrees

Learn more here: https://brainly.com/question/19906109

what is the mean of the data? 24,31,12,38,12,15

Answers

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!

Please helpp!! (30 POINTS)!!!

Answers

Answer:

b

Step-by-step explanation:

11+11+10+10=42cm

Determine the volume of the rectangular prism.​

Answers

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]

hope it helps

have a nice day

Abigail and Grace collected clovers. Abigail collected clovers with
4 leafs and Grace collected clovers with 5 leafs. They counted the
number of leafs in both collections and realized that it is the
same. What is the least number of leafs that each collection must
have?

Answers

Answer:

20

Step-by-step explanation:

To find the least number of leafs that each collection must have, we find the L.C.M of both numbers. So L.C.M of 4 and 5.

The prime factors of 4 = 2²

The prime factors of 5 = 5

So L.C.M of 4 and 5 = 2² × 5 = 20

So, the least number of leafs that each collection can have is 20 leafs.

choose the bast description for the real number 34/3

Answers

Step-by-step Answer:

C and D are both correct as fractions. Numbers are NOT irrational because they are a fraction. And concluding decimals are both rational numbers. By using a known formula you can convert reaptedly decimals to a fraction.  

Which job here requires the least amount of training and education

A. Elementary Teacher
B. College professor
C. Cashier
D. Accountant

Answers

Answer:

Cashier

Step-by-step explanation:

An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.

Answer:

C. Cashier

Step-by-step explanation:

Retail cashiers require no formal training.

To be an elementary teacher, you must have at least a Bachelor's degree.

To be a college professor, you must have at least a Master's degree.

To be an accountant, you must have at least a Bachelor's degree.

8x−10 ∘ +4x+52 ∘ =90 ∘

Answers

Answer:

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]

➳The value of x = 4.

Now, the value of the angles,

[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]

1 angle = 22°

[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]

2 angle = 68°

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

Substitution method please help :3

Answers

Answer:

3x = 14

Step-by-step explanation:

Add the two equations.

5x + (-2x) = 3x

(-y) + y = 0

6 + 8 = 14

3x = 14.

Step-by-step explanation:

5x - y = 6 and -2x + y = 8

1/ 5x - y = 6

=> y = 5x - 6

2/ -2x + y = 8

Substitute 1/ into 2/ we will have:

-2x + (5x - 6) = 8

=> -2x + 5x - 6 = 8

=> 3x = 14

=> x = [tex]\frac{14}{3}[/tex] <=> y = [tex]\frac{52}{3}[/tex]

- However, the question asked for the final equation when adding 5x - y = 6 and -2x + y = 8 => The correct answer will be: 3x = 14

Lesley's fruit salad contains 40% grapes. Which figure represents 40%?? ​

Answers

Answer:

its d

Step-by-step explanation:

if im wrong sorry i tried

What is the value of X
What is the value of Y


I will crown u and give you 20 extra points

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

4) 35° and x° are vertical angles, so they are congruent to each other. Therefore, x°=35°. Since y°+y°+35°=180° since they are all supplementary to each other, then y°=72.5° when solved.

5) A is true. Think of two adjacent angles measured 60° and 30° that are next to each other. They add up to 90° as well.

B isn't true. Vertical angles are congruent to each other, not supplementary.

C isn't true. The statement contradicts itself. Complementary angles add up to 90° while supplementary angles add up to 180°

You flip a coin 50 times. Of the 50 flips, the coin landed on heads 30 times. Use the questions below to compare the experimental probability of flipping heads with the theoretical probability of flipping heads.

Answers

Given:

Of the 50 flips, the coin landed on heads 30 times.

To find:

The experimental probability of flipping heads and compare it with the theoretical probability of flipping heads.

Solution:

We have,

Total number of trials = 50

Total number of heads = 30

The experimental probability of flipping heads is:

[tex]\text{Experimental probability}=\dfrac{\text{Total number of heads}}{\text{Total number of trials}}[/tex]

[tex]\text{Experimental probability}=\dfrac{30}{50}[/tex]

[tex]\text{Experimental probability}=\dfrac{3}{5}[/tex]

[tex]\text{Experimental probability}=0.6[/tex]

A coin has two sides one is heads and another is tails. So, the theoretical probability of flipping heads is:

[tex]\text{Theoretical probability}=\dfrac{1}{2}[/tex]

[tex]\text{Theoretical probability}=0.5[/tex]

Therefore, the experimental probability of flipping heads is 0.6 and the theoretical probability of flipping heads is 0.5. So, the experimental probability is greater than the theoretical probability of flipping heads.

Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A.
What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?

Answers

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

Help me it’s due in 20 minutes!!

Answers

do NOT open the link that this person is about to send, he sent the same link to me and i realized it’s a virus. but i suck at math so i can’t complete this, so good luck!

The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?

A The range for Daniel's data is greater than Sam's range.

B The median for Daniel's data is the same as the median for Sam's data.

C The range for Daniel's data is the same as the range for Sam's data.

D The median of Sam's data is greater than the median of Daniel's data.

Answers

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.


A game rental service allows customers to rent games for $5 each
after paying a monthly membership fee of $7. The total amount
spent each month can be modeled by y=5x+7. What does the
variable x represent in this function?
a) The total money spent each month
b) The number of games rented
c) The cost of renting 1 game



Anyone can help
Me with this?

Answers

Answer:

the number of games rented

Step-by-step explanation:

in y=5x + 7

7= membership fee

5x represents the $5 per game times the number of games rented x

X= the number of games rented

They cost 5 each, so u would multiply that times the number of games u bought

what is the area of the white box

Answers

Answer:

         12 m²

Step-by-step explanation:

The white box is a rectangle with width of:

a = 2 m

and length of:

b = 7 m - 1 m = 6 m

So its area is  A = 2 m × 6 m = 12 m²

{The shaded blue area is: (5 m + 1 m)(8 m) - 12 m² = 48 m² - 12 m² = 36 m²}

PLEASEEE I NEED HELP



Given the function f(x) = x2 – 8x + 9
a) Use completing the square to express the given function in vertex form.
b) State the coordinates of the vertex.

Answers

Y=(x+4)^2-25 , (4,-25)

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

3.2 AT

The angles in the smaller prism measure 90

degrees.

The perimeter of the rectangular bases changes by

a factor of 2.

The surface area changes by a factor of 8.

The larger prism has twice the volume of the

smaller prism.

The area of the rectangular bases changes by a

factor of 4.

1.6

-

-

-

-

-

-

10.4

V

0.8

2.2.

Answers

Answer:

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.  

E)The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.

C)The surface area changes by a factor of 8.

D)The larger prism has twice the volume of the smaller prism.

E)The area of the rectangular bases changes by a factor of 4.

Solution:

Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.

A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

Option A is correct.

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

Option B is correct.

C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68

The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)

Option C is wrong

D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632

Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704

The larger prism volume is not twice of the smaller prism

Option D is wrong

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

The area of the rectangular bases changes by a  factor of 4 (1.76 / 0.44 = 4)

PLEASE HELP ME!!!!!!!!!!!

Answers

Answer:

Yes.

Step-by-step explanation:

In order to form a triangle the sum of two sides should exceed the third side.

so here the given measurements fulfill this statement so

with the given lengths ; 15, 12 , 9 can form a triangle.

finish solving for x
NO LINKS OR I WILL REPORT

Answers

Answer:

x=10  y=20

Step-by-step explanation:

circumstances of 4 inches. (exact, approximate) and find the exact and approximate area.

Answers

Answer:

it keepz saying what i type in here is rude and wont lemme send it help

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