Please help asap :( This is my "Final grade" My Teacher wants a full explanation included ! on how i got the answer. )

A toy shop is manufacturing hollow plastic spheres. The outside diameter of the sphere is 6 inches and the thickness of material is 1 inch. The spheres are packaged in boxes of 8, and the density of the material is 3.25 g/in3. What is the weight of the box to the nearest gram?

Please Help Asap :( This Is My "Final Grade" My Teacher Wants A Full Explanation Included ! On How I

Answers

Answer 1

If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)

The total volume of the ball will be;

= Total volume - Volume of hollow part

= 4/3πr³ - 4/3πr³

= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³

= 4 × 3.14 × 9 - 4/3 × 3.14 × 8

= 113.04 - 33.52

= 79.52

If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;

= 79.52 × 3.25

= 258.44 g

Now, if there are 8 spheres in one box, the weight if box will be;

= 258.44 × 8

= 2,067.52 g

_____________________________

Ahh! Finally done with this, if you have any doubt just do ask me :)


Related Questions

The campus cafeteria gives a 20% discount to students.If the group's dinner regulary cost $36 , how much would a group of students acutally pay for dinner?

Answers

Answer:

If they buy the dinner at $36 with 20% discount, they will pay  28.8 dollars.

At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.

Answers

Answer: 6% decrease

Step-by-step explanation:

Answer:

6% decrease

Step-by-step explanation:

Given that,

Initial number of students = 1200

At the end of the year there were 1128 students

We need to find the  percent of  change in enrollment.

Change in enrollment = 1200 - 1128 = 72

The percentage of change is :

[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]

So, there is a decrease of 6% in number of students.

can anyone help with this ??

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Oof why do you think of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that I am not a fan of 45372

What triangles can you make out of a rhombus

Answers

Answer:

Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.

Hope it helps ya mate! please give me brainliest!.ت︎ ت︎

whats the volume ?????

Answers

Answer:

Step-by-step explanation:

Multiply the three dimensions

12 x 6 x 8 = 576 cm^3

The answer is 576, because 8x12x6 = 576

hii! please help asap. i’ll give brainliest

Answers

Answer:

4

Step-by-step explanation:

The numbers you have are 2, 2, 3, 4, 8, 8, 8

First, cross out 2 on the very left and 8 on the very right.

Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.

If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!

If sine > 0 and tane < 0 then:

Answers

Answer:

its A

Step-by-step explanation:

How would I solve this?

Answers

a²+b²=c²

the pythagorean theorem

basically you would do 7²+5²=c² then solve for c:3

I hope this helped

Which is a factor of 45x^4−5x^2? Show work.


a. 5x+2 b. 9x−1 c. 6x+5 d. 3x−1

Answers

Answer:

d. 3x - 1.

Step-by-step explanation:

45x^4−5x^2

The GCF is 5x^2 so we have:

5x^2(9x^2 - 1)

The expression in the parentheses is the difference of 2 squares so:

= 5x^2(3x - 1)(3x + 1)

PlZZ help me
Three people, Needcash, Wantmoney and Luvdough, share in a business in the
ratio of 4: 6:5. The profits are shared in the same ratio. If the business had a total
profit of $277 500, use proportions to determine how much would
Wantmoney receive?

Answers

Answer:

$111000

Step-by-step explanation:

[tex] \frac{277500}{ 4 + 6 + 5 } \\ = 18500 \\ \\ 18500 \times 6 = 111000 \: - the \: amount \: wantmoney \: would \: receive[/tex]

Find the surface area of the prism.

A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.

Answers

Answer:

400cm²

Step-by-step explanation:

Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²

Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²

Total surface area = 280 + 120 = 400cm²

What was Ahmed's first error? In Step 1, the radius should be found by multiplying the diameter by 2. In Step 2, the formula 2 pi r should be used to find the area of the circle. In Step 3, the resulting area should be in terms of pi. In Step 4, the units of the resulting volume should be Centimeters squared.

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Answer:

Step 2

Step-by-step explanation:

To find the area you do pi x r^2.

He did 2 x pi x r which finds the circumference,

What are the domain and range of the function f(x)= -square root x+3 -2?

Answers

Answer:

[tex]Dom_{f}=[-3,\infty)[/tex]

[tex]Range_{f}=(-\infty,-2][/tex]

Step-by-step explanation:

I understand the correct function is [tex]f(x)=-\sqrt{x+3} - 2[/tex]

Domain of f

[tex]x+3\geq 0\\x\geq -3[/tex]

Thus, [tex]Dom_{f}=[-3,\infty)[/tex]

Range of f

[tex]Range_{f}=(-\infty,-2][/tex]

hey! i’ll give brainliest please help.

Answers

Answer:

I think Darius I is the correct answer.

find the ratios and reduce them in their lowest terms.

12cm and 8cm​

Answers

1.5 is the answer for that question

A rectangular portrait is 5 feet wide and 6 feet high. It costs $4.00 per foot to put a gold frame around the portrait. How much will the frame cost?

Answers

Answer:

The frame would cost $88

Step-by-step explanation:

The problem is asking for the perimeter basically. The formula to find the perimeter is P = 2l + 2w. So plug in 5 where there is a 'w' and plug in 6 where there is a 'l'.

22= 10+12    

Now that you have the perimeter, you'll have to find the cost of the frame. Just multiply 22 by the 4 dollars to get your answer.

A rectangular prism and its net are shown below.
(All lengths are in yards.)

Answers

Answer:

C=2 D=2

SA=

Step-by-step explanation:

Surface Area (SA)= 2(wl+hl+hw)

2(2×5+9×5+9×2)

=146 yards

There are 6 adult chaperones, 21 female students, and 23 male students on a bus for a field trip.
What is the probability that a randomly chosen person on the bus is an adult chaperone or a male student?

Answers

Answer:

[tex]\frac{29}{50}[/tex]

Step-by-step explanation:

[tex]\frac{29}{50}[/tex] put into decimal form is 0.58 (aka 58%)

The person above me was correct but didn't have the answer in fraction form.

The probability that a randomly chosen person on the bus is an adult chaperone or a male student is 0.58.

We have the following data -

On a field trip there are 6 adult chaperones, 21 female students, and 23 male students on a bus.

We have to find the probability that a randomly chosen person on the bus is an adult chaperone or a male student.

What is the formula to calculate the probability of an event ?

The formula to calculate the probability of an event is -

P(A) = n (A) / n(S)

Where -

n(A) - Number of favorable outcomes.

n(S) - Number of elements in the sample space.

In the question given to us, we have -

n (A) = favorable outcomes = 23 + 6 = 29

n (S) =  Elements in the sample space 23 + 21 + 6 = 50

Hence, the probability that a randomly chosen person on the bus is an adult chaperone or a male student is -

P(A) = [tex]\frac{n(A)}{n(S)}[/tex] = [tex]\frac{29}{50}[/tex] = 0.58

Hence, the probability of choosing will be 0.58.

To solve more questions on probability, visit the link below -

brainly.com/question/743546

#SPJ5

need help to pass please

Answers

Answer:

x=1

Step-by-step explanation:

a(a+b)=c(c+d)

4(6x+4)=5(3x+5)

24x+16=15x+25

9x=9

x=1

What does the mean, median, mode mean?​

Answers

Mean: average of the numbers median: middle of the numbers mode: which number appears the most

Step-by-step explanation:

Mean= add all of the terms together and divide by the amount of terms

median= put all the terms in order and the middle number is the median

mode= the value the appears the most frequently

PLEASE HELP I NEED THIS ASAP

Answers

(A)

Step-by-step explanation:

Multiply both sides by (x + 3)(x - 3)

4(x + 3) + 2 = (x- 3)

4x + 12 + 2 = x - 3

3x = - 17

or

x = -17/3

i just found out i got a 361 on my math test and i need a 400 to pass lol
so um can anyone tell me my percentage
did i get a 60 or something

Answers

Answer:

361 out of 400 is 90.25%

Step-by-step explanation:

Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2

Answers

Answer:

Area of a circle = πr^2 if pi here = 3

then (3 × 81) in^2 = 243 in^2

Hope it helps

Answer:

The area of circle is 254.34 in².

Step-by-step explanation:

Given :

[tex]\small\purple\bull[/tex] Diameter of circle = 18 in

To Find :

[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circle

Using Formulas :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter

[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]

[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radius

Solution :

Here we have given that diameter of circle is 18 in. So, finding the radius of circle :

[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]

[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]

[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]

[tex]\implies{\sf{Radius = 9 \: in}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]

Hence, the radius of circle is 9 in.

[tex]\rule{200}2[/tex]

Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :

[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]

Hence, the area of circle is 254.34 in².

[tex]\rule{300}{1.5}[/tex]

NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem

Answers

Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)

Step-by-step explanation:

15. What is the height of a triangular pyramid that has a volume of 512 cubic feet, a base length of 24 feet, and a base height of 8 feet? feet (do not enter label) Round to the nearest TENTH if necessary. please do not send website​

Answers

Answer:

16 ft

Step-by-step explanation:

height of pyramid = (3×512)/(½×24×8)

= 1536/96

= 16 ft

Ariel uses 7/8 of a cup of vinegar in her salad dressing recipe. How much vinegar would Ariel use to make 1/2 of a recipe? show calculation and final answer.

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I’m pretty sure it’s 7/16 Goodluck! :)

Which is the better deal ?

Oreos
$2.98 for 15 oz

Or
Chip Ahoy
$2.50 for 14 oz

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Chips ahoy for 14oz is better
I think it depends on how much you want to buy, but probably Oreos.

write an absolute value equation that has one solution of 17

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Answer:

|x| - 17 = 0

Step-by-step explanation:

Which best explains how to find the volume of a prism?


Find the height of the base and multiply it by the length.

Find the width of the base and multiply it by the height.

Find the area of the base and multiply it by the height.

Find the area of the lateral sides and multiply it by the height of the base.

Answers

I have read this all and see it but I think it’s the 3rd one but yea that’s one I would recommend

Answer:

Find the area of the base and multiply it by the height

Step-by-step explanation:

Volume Rectangular Prism = L x W x H

L x W = Area base

So it is Area of base x height

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

In ΔMNO, the measure of ∠O=90°, MN = 60 feet, and OM = 11 feet. Find the measure of ∠N to the nearest degree.

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Answer:

I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer

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