Question 3 (4 points)
Find the surface area of a sphere with a circumference of 172 mm. Round to the nearest tenth.

9416.9 mm
27.4 mm
4708.4 mm
749.4 mm

Question 3 (4 Points)Find The Surface Area Of A Sphere With A Circumference Of 172 Mm. Round To The Nearest

Answers

Answer 1

Answer:

a. 9,416.9 mm²

Step-by-step explanation:

Given:

Circumference of a sphere = 172 mm

Required:

Surface area of the sphere rounded to nearest tenth

Solution:

First, we need to determine the radius of the sphere since we know the circumference.

Circumference = 2πr

Plug in the value of the circumference

172 = 2*π*r

Divide both sides by 2π

172/2π = r

86/π = r

r ≈ 86/π

Next, find the surface area of the sphere

Surface area = 4πr²

plug in the value of r

Surface area = 4*π*(86/π)²

= 4*π*86²/π²

= 4*7,396/π

= 9,416.87967

≈ 9,416.9 mm² (nearest tenth)


Related Questions

What’s 1+1 ?

A: 2
B: 69
C: 420
D: 3

Answers

Answer:

The answer to 1 + 1 is equal to 2.

Trig homework. Find the two missing sides and write your answer as in simplified radical form.

Answers

Answer:

u = 8, v = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{u}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

u = 8

The triangle is right isosceles with legs congruent, so

v = 4[tex]\sqrt{2}[/tex]

If you were to 'unroll' the cylinder you would find the the side is actually a rectangle when flattened out.

Answers

Step-by-step explanation:

true

and the top and bottom are just circles

The statement is true whenever the cylinder is unrolled the result will be the rectangle.

What is a cylinder?

The Cylinder is a solid geometry with right straight sides and has a circular cross-section.

If we unroll the cylinder we will get a rectangular shape. having four sides two opposite sides are parallel and equal to each other.

Hence the statement is true whenever the cylinder is unrolled the result will be the rectangle.

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-6 George has a choice of a $7,200, simple interest loan at 3.8% that he has to start paying back after 3 years, or a $7,500, annual compound interest loan at 3.5% that he also has to start paying back after 3 years. Which method should he choose, simple or compound, and how much less interest will he owe using that method? (8.1A, 8.1B, 8.1C, 8.16) F Compound interest; $79.03 G Simple interest; $79.03 H Compound interest; $5.42 J Simple interest; $5.42​

Answers

Answer:

Compound interest; $5.42

Step-by-step explanation:

ayo can yall help me plzzz

Answers

Answer:

D

Step-by-step explanation:

because there is no green

Answer:

D. Impossible

Step-by-step explanation:

There are no green folders so he can't pick a green one.

:)

Please help. Will give brainliest.

Answers

Answer:

7.

radius [r]=3in

length of bold part of circle=(360-40°)/360×2πr

=8/9×2×π×3=16.755

8.

we have

x²-2=2-y²

x²+y²=4..........(1)

comparing above equation with

(x-h)²+(y-k)²=r²

we get

centre(h,k}=(0,0)

radius [r]=2 units

Jillian is given $15 to buy snacks and drinks. If Jillian spends 2/3 of her money on snacks and the rest on drinks, how much money does she spend on drinks, in dollars?

Answers

Answer:

$5

Step-by-step explanation:

The amount of money spent on snacks is

2/3 × $15= $10

15-10= 5

=$5

or

1/3 ×15

= 5

Find the area. 7 in. 5 in. 12 in. ​

Answers

Answer:

I believe its 47.5

Hope this helps!

Answer:

142.5

Step-by-step explanation:

1/2×5×(7+12)=142.5

PLS HELP! YOU WILL GET A GOOD DEED:*

Answers

Answer:

History test

Step-by-step explanation:

28 divided by 40 is 0.7 which equals 70 percent.

39 divided by 60 is 65 percent .

Answer:

Phil did better on his History test.

Step-by-step explanation:

In the history test, he scored a 28/40. There are many ways to do this, but here is my way. Convert this to decimal to make comparison easy.

28/40 = 0.7

In the Geography test, he scored 39/60. Convert this to decimal as well.

39/60 = 0.65.

Since 0.7 > 0.65, Phil did better on his history test.

I have a 3 yellow m&m's, 5 blue m&m's, and 4 red m&m's. What is the probability if I choose a red and do not not put it back and then choose a yellow?

Answers

Answer:

8.3% probability

Step-by-step explanation:

(3) YELLOW  ⇒   [tex]\frac{3}{12}[/tex]   ⇒  25%

(5) BLUE       ⇒   [tex]\frac{5}{12}[/tex]   ⇒  41.6%

(4) RED         ⇒   [tex]\frac{4}{12}[/tex]   ⇒  33.3%

║(12) IN TOTAL

[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] = 8.3%

PROBABILITY OF (1) RED, AND (1) YELLOW  ⇒ 8.3% probability

Richard and Kelly were racing. How many possible ways could the 2 friends place? They are the only racers.

Answers

The answer is 2, either Richard wins or Kelly wins

The multiples of 4 have an even number in the tens place.What values do they have in the ones place? With multiples of 4 that are larger than 100?

Answers

Answer:

0 , 4 , 8

Step-by-step explanation:

Multiples of 4 = 12,16,18,20, 24, 28.............100, 104, 108, 112, 116,120, 124, 128

Numbers that have even no. in tens = 20, 24 , 28 ... 100, 104, 108, 120 , 124, 128

As evident, all these numbers (including those > 100) have 0, 4, 8 as one's place numbers.

If each edge of this rectangular prism is doubled, how will it affect the volume of the prism?
A. The new volume will be 2 times the original volume.
B. The new volume will be 4 times the original volume.
C. The new volume will be 6 times the original volume.
D. The new volume will be 8 times the original volume.

PLEASE HELP ASAP ILL GIEV BRAINLIEST

Answers

Answer:

D. 8 times

Step-by-step explanation:

lmk if its right bc im not too confident </33

D. The new volume will be 8 times the original volume.

The measurements of the rectangular prism are 5m ( length ), 3m ( width ), and 2m ( height ). To find the volume of the rectangular prism, you have to multiply the length, width, and height altogether. That gives you ( 5*3*2= ) 30 cubic meters. However, if the measurements were doubled for each edge, the new measurements would be ( 5*2= ) 10m ( new length ), ( 3*2= ) 6m ( new width ), and ( 2*2= ) 4m ( new height ). Multiplying those new measurements together would get you the volume of ( 10*6*4= ) 240 cubic meters. Now, in order to find out how it affects the volume of the prism, you divide 240 cubic meters by 30 cubic meters and get 8. Therefore, the answer will be D. The new volume will be 8 times the original volume.  

What is the slope of a line that is parallel to the graph of 4x+2y=4

Answers

Answer:

The slope of a line that is parallel to the graph of 4x+2y=4 is -2

-2 would be your answer

Five minutes is what percent of
an hour?

Answers

0.083 In decimal 8.3% in percentage

At a certain middle school, there are 200 5th graders, 220 6th graders, 180 7th graders, and 150 8th graders. The Dean of Students chooses a scholar at random to help run Community Circle. What is the probability that a 7th grader is chosen?

Answers

Answer:

6/25

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that a 7th grader is chosen = total number of 7th graders / total number of students

total number of 7th graders = 180

total number of students = 200 + 220 + 180 + 150 = 750

180 / 750

To transform to the simplest form. divide both the numerator and the denominator by 30

6 / 25

DUE AT 12 SO LIKE HURRY



Arthur's brother wants to borrow some money. Arthur decided to lend him $1000 at 2% simple interest. If the loan will cost his brother $50, how much time does he have before he has to pay Arthur back. (See Example 2 in your notes.)

a
2 years
b
2.5 years
c
3 years
d
3.5 years

Answers

Answer:

2.5

Step-by-step explanation:

Answer: b. 2.5 years

Step-by-step explanation:

The formula for Interest is:

= principal × rate × time

Then, we slot in the values given which will be:

Interest = principal × rate × time

50 = 1000 × 2% × Time

50 = 1000 × 0.02 × Time

50 = 20 × Time

Time = 50/20

Time = 2.5 years

He has 2.5 years to pay back

Part K
You have established that circles A and B are similar. What conclusion can you make about any two given circles?

Answers

Answer:

i dont see a circle

Step-by-step explanation:

Answer:

All circles are similar.

Step-by-step explanation:

Because circles are the same shape, they are similar by nature.

What is the length of a diagonal of a cube with a side length of 3 cm? O 18 cm 0 27 cm 182 cm OW38 cm​

Answers

Answer:

18 cm

Step-by-step explanation:

please mark this answer as brainliest

Answer:

18 cm

Step-by-step explanation:

The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3.

Given: side x = 3 cm

Use the diagonal formula,

Diagonal of cube = 3–√x

Diagonal of cube = 3–√ × 3

We know that the value of √3 is 1.734

Therefore, the diagonal of a cube  = 1.734 (3)

Diagonal of cube = 5.20 cm

Find the length of BC .

72
54
40.5
108

Answers

value of n=72

Answer:

∆ABC~DEF

since the side of similar triangle are proportional

[tex] \frac{AB}{DE} = \frac{BC}{EF} [/tex]

[tex] \frac{54}{9} = \frac{n}{12} [/tex]

6×12=n

n=72

The volume of this figure is...

Answers

Answer:

27 in

Step-by-step explanation:

8 in+3 in+6 in+ 5 in+ 5in=27 in

330 sixth graders were asked what their favorite sport is. If 20% said baseball how many students said baseball was their favorite sport

Answers

Answer:

66

Step-by-step explanation:

330/1000 by 20(...)=66


Aretha's teacher will choose two students from a class of 10 to prepare a display. Assuming the teacher chooses these students at random,
what is the probability that Aretha will not be chosen?

Answers

Answer:

80% chance she will not be chosen

Step-by-step explanation:

the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.

I hope this is correct!

The probability that Aretha will not be chosen is 0.8.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Probability of choosing 2students =2/10

Probability of not choosing students = 1-2/10

= 8/10

= 0.8

Therefore, the probability that Aretha will not be chosen is 0.8.

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Fred purchased a cone filled with cinnamon pieces. The cone is 7 inches tall and has a diameter of 2. How many cubic inches does the cone hold? Leave your answer in terms of pi

Answers

Answer:

V = 9.33 π m³

Step-by-step explanation:

Given: The cone is 7 inches tall and has a diameter of 2

To find: How many cubic inches the cone can hold

Formula: The formula for the volume of a cone is V = [tex]\frac{1}{3} h\pi r[/tex]².

Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume you need to multiply the base area

(area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex]:

volume = ([tex]\frac{1}{3}[/tex]) × π × r² × h.

In terms of pi V = 9.33 π m³

Lin created a design in his scrapbook by cutting square sheets of paper along the diagonal, as shown. Which equation can be used to determine the area of one triangle?

Answers

Answer:

the answer is A=(8)(8)/2

Step-by-step explanation:

PLEASE HELP ME WITH THIS ITS DUE IN 15 MINS!! WILL GIVE BRAINLIST!! HELP!

Answers

Answer:b

Step-by-step explanation:

How many numbers are from k to n? (Including k and n.)

*Do not give me a wrong answer, as you may be blocked. Only answer if you know it!

Answers

Answer:

n - k + 1

Step-by-step explanation:

This is assuming (because you did not say) that n and k are integers and n is greater than k.

Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.

Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}

How many degrees are in 3/4 of full turn

Answers

Answer:

270

Step-by-step explanation:

3/4x360

Find the lowest common multiple (LCM) of 56 and 42

Answers

Answer:

168

Step-by-step explanation:

PLZ HELP I DONT UNDERSYAND

cait has a 300-centimeter ribbon that cut into smaller pieces for decorations select all the ribbon lengths that could be cut from the original ribbon.

A. 1.8 meters and 110 centimeters
B. 200 centimeters and 2 meters
C. 3 meters anfd115 centimeters
D. 17 centimeters and 2.9 meters
E. 0.63 meters and 240 centimeters
F. 192 centimeters anf 0.19 meters

(suggested by my sister plz help her ty)​

Answers

Answer:

The answer is letter A and letter F.

Step-by-step explanation:

The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.

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