Find the volume for 2 different spheres by randomly choosing different radii.
Using the same radii values, find the volume of 2 cylinders where the height of the cylinder is the same as the diameter of the sphere.

Answers

Answer 1

Answer:

The volume of a sphere of radius r is:

S = (4/3)*pi*r^3

The volume of a cylinder of radius r and height h is:

C = pi*r^2*h

For this problem the height of the cylinders will be equal to the diameter of the spheres, which is equal to two times the radius.

First, let's use the radius: r = 2.

The volume of the sphere will be:

S = (4/3)*3.14*(2)^3 = 33.49

The volume of the cylinder, where h = 2*2 = 4, is:

C = 3.14*(2^2)*4 = 50.24

Now, let's choose the radius r = 3.

The volume of the sphere will be:

S = (4/3)*3.14*3^3 = 113.04

The volume of a cylinder with this radius and h = 3*2 = 6, is:

C = 3.14*(3^2)*6 = 169.56


Related Questions

If a class of 30 students have to split the boys and girls in hafe and 10% are girls, how meany girls are in the class

Answers

Answer:

10 girls

Step-by-step explanation:

Evaluate the expression

negative 14 plus 5

Answers

Answer:

its -9 :)

dmdmonjdnkjdnb

Answer:

-9

Step-by-step explanation:

-14+5 = -9

In equations like this, look at the signs of the numbers and that will tell you what to do. Remember it like this:

"Same signs add and keep. Different signs subtract. Keep the sign of the higher number then you'll be exact"

What is the value of x in the equation 3(4x-1)-3x=5-(x-8)?

Answers

12x-3-3x=5-(x-8)
9x-3=5-(x-8)
9x-3=5-x+ 8
9x-3=13-x
9x=16- x
10x=16
X= 8/5

I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value

Answers

Answer:

Q is -7

Step-by-step explanation:

Q×2+5=x

Q-2=x

Q=-7

4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is

Answers

Answer:

Step-by-step explanation:

If Sheila buys

200 shares for 18.25

200*18.25==3650

she sells them for

200*32.50=6500

her profit is

6500-3650=2850.00

another way to solve this would be

32.50-18.25=14.25

14.25*200=2850

Another name for Rotation is slide.
True
False

Answers

False:

A rotation is the action of rotating around an axis or center.

A slide means to move along a smooth surface while maintaining continuous contact with it.

PLEASE HELP. I WILL GIVE BRAINLESS

Answers

Answer:

1. 47.1%    2. 69.4%   3. 72.9% 4.  55.6%

Step-by-step explanation:

you just have to add both the numbers and divide the one you are trying to find is liked by the total of both.

ex.

what precent of chicago likes rain?

chicago rain 143   snow 59

143+59=202

143/202=70.7%

I store Offers a rewards program where shoppers are in one point for every two dollars I spent +500 bonus points on their first purchase. But the function of represent the points earned as a function of the total amount spent ask. Write a function that represents the total number of points earned us as a function of the amount spent

Answers

Answer:

F(p) = 500 + 0.5p

Step-by-step explanation:

Given that :

Bonus point on first purchase = 500

Number of points earned for every 2 dollar spent = 1

Points earned as a function of amount spent :

Bonus point + points earned per dollar

Number of points earned per dollar = 1 / 2

Let p = amount spent

F(p) = function representing the points earned

Hence,

F(p) = 500 + 0.5p

Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2

Answers

Answer:

Y=(1/2)x + 3

Step-by-step explanation:

The equation of the line is y = (1/2)x + 3.

We have,

The equation of a line is written as:

y = mx + c

Where m is the slope and c is the y-intercept.

Now,

From the line,

We have the following coordinates:

(2, 4) and (4, 5)

Now,

Slope.

m = (5 - 4) / (4 - 2) = 1/2

And,

(2, 4) = (x, y)

Substituting.

y = mx + c

4 = (1/2) x 2 + c

4 = 1 + c

c = 4 - 1

c = 3

Now,

y = (1/2)x + 3

Thus,

The equation of the line is y = (1/2)x + 3.

Learn more about equation of a line here:

https://brainly.com/question/23087740

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what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6

Answers

Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.

Step-by-step explanation:

La suma de DOS números pares es 100. ¿Cuáles son esos números?
The sum of TWO even numbers is 100. What are those numbers?

Answers

There could be multiple possibilities including
80+20=100
60+40=100
50+50=100

1) Arnold has $200 in his bank account. His bank
account earns interest at a rate of 2% each year.
After 15 years, how much money will Arnold have
in his bank account (assuming no withdrawals or
deposits)?

Answers

Answer:

P is the principal amount, $200.00.

r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.

t is the time involved, 15....year(s) time periods.

So, t is 15....year time periods.

To find the simple interest, we multiply 200 × 0.02 × 15 to get that:

The interest is: $60.00

Simplify
5.x - 3+27 +7

Answers

Answer:

5x+31

Step-by-step explanation:

Answer:

x2+3x+9

Step-by-step explanation:

X squared plus 3x plus 9, just for clarity. I believe this is the right answer, if not let me know in the comments.

A bag contains three green marbles, four blue marbles, and two orange
marbles. If a marble is picked at random, what is the probability that an orange
marble will NOT be picked?

Answers

Answer:

7/9

Step-by-step explanation:

There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!

In 3 hours Traci is 135 miles from home as she drives from San Francisco to Dawson. Let represent the number of hours and represent the number of miles. The rate of change is and in 12 hours Traci will be miles from home

Answers

Answer:

45 mph

540 miles

Step-by-step explanation:

Given that :

Number of miles from home = 135 miles

Number of hours = 3 hours

Rate of change : Distance / Time

Rate of change = 135 miles / 3 hours

Rate of change = 45 miles per hour

Distance covered in 12 hours :

45 mph * 12 hours = 540 miles

Hence, In 12 hours Traci will be 540 miles from home

3/4g=-12

solve and if you can explain the process bc I have no clue what I'm doing

Answers

Answer:

-16

Step-by-step explanation:

3/4 = 0.75

0.75 x -16 = -12

what is (3x² + 5x - 9) + (7x² + 2x + 10)?
I will give brainiest to the answer with step-by-step explanation :

Answers

Answer:

10x^2+7x+1

Step-by-step explanation:

Let's simplify this step-by-step.

3x^2+5x−9+7x^2+2x+10

=3x^2+5x+−9+7^x2+2x+10

After, combine like terms. (Simplify the expression)

Here is a step-by-step row.

= 3x^2+5x+-9+7x^2+2x+10

= (3x^2+7x^2)+(5x+2x)+(-9+10)

= 10x^2+7x+1

That is the most simplified form, I hope this helped!

I also adore your profile picture, it's so aesthetic ♡

..you watch anime? if so, me too! here's the answer, 18 :))

step-by-step explanation:

3 + 5= 8

8 - 9= -1

-1 + 7= 6

6 + 2= 8

8 + 10= 18

your answer is 18!!

if f(x)=x^2+4x-12. find f(2)

Answers

Answer:

f(2) = 28

Step-by-step explanation:

By evaluating the function in x = 2 we will see that f(2) = 0.

How to evaluate a function?

Here we have:

[tex]f(x) = x^2 + 4x - 12[/tex]

and we want to find f(2), so we need to evaluate in x = 2.

To do this, we just replace the "x" in the function by the number 2, we will get:

[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]

So we can conclude that f(2) = 0.

If you want to know more about evaluating:

https://brainly.com/question/4344214

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Plsss help I’ll give u brainlest and 10 points

Answers

Answer:

b

Step-by-step explanation:

d is your inital amount.  Then you spend $7, so you subtract 7.  That is greater than or equal to 50.

bruh math problems really be like


"sALLY aTe 7 PenCiLs, iF sHe vOmitS 3 hOw mAnY arE LeFt?"

smh.

Answers

Answer:

Bruu for real and they don't make sense LOL

Step-by-step explanation:

Answer:

FACTS lmbooo

Step-by-step explanation:

what is the y-intercept of the graph of the function ​

Answers

The y-intercept is where the line(s) cross the y-line

So your answer is.
-5

I hope this helps!!

Answer:

(0,-5)

Step-by-step explanation:

It is where the line meets the y axis

Find each amount:



3.8% of 25

Answers

Answer:

0.95

Step-by-step explanation:

3.8 % of 25 is equal to 0.95.

To find 3.8 % of 25, we can calculate it using the following formula : Amount = ( Percentage / 100 ) * Base.

In this case, the percentage is 3.8 and the base is 25.

Using the formula , we have : Amount = ( 3.8 / 100 ) * 25.

First, we divide 3.8 by 100, which gives us 0.038. Then, we multiply 0.038 by 25 to find the amount.

Calculating, we have : Amount = 0.038 * 25 = 0.95.

Therefore, The value of 3.8 % of 25 is equal to 0.95.

Learn more about percentage here

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which slopes could be the slopes of perpendicular lines?

1/2 and 2


8 and -1/8


2 and 2


1 and -1


0 and undefined

Answers

Answer:

0 and undefined

Step-by-step explanation:

Please help it’s due today

Answers

Answer:

x = 2/3

Step-by-step explanation:

cross multiply

-9(x-4) = 10(3x+1)

and then solve the equation

-9x + 36 = 30x + 10

36 = 39x + 10

26 = 39x

x = 2/3

Cross multiply
-9(x-4) = 10(3x + 1)
-9x + 36 = 30x + 10
-9x = 30x - 26
-39x = -26
X = -26/-39 = 2/3
The solution is x = 2/3

can someone answer this pleaseEEEee

Answers

Answer:

The answer is 15.

Step-by-step explanation:

You should read the explanations on previous answers so you don't have to keep posting these.

Answer:

I suggest wyzant.com, it solves these types of questions

>>> This is the 3rd time I had to retype this cause I accidentally sent a link<<

<3 Enjoy,

    Dea

what is an equation of the line that passes through the point (8,0) and is parallel to the line x -4y=20

Answers

Step-by-step explanation:

Y-0 = 1/4(x-8)

4Y= x-8

4Y-x+8=0

You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18

Answers

Answer:

B 1/9

Step-by-step explanation:

Because there are 6 sides of a die then your adding 3 to the 6

I think. (please dont hate me if im wrong!!)

The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

What is the chain rule in probability for two events?

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

For this case, let we define two events:
A = event of rolling a 4 in first rollB = event of rolling a number less than 3 in second roll

Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.

Thus, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Total number of outcomes for any roll = n(S) = 6

Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)

Thus, P(A) = n(A)/n(S) = 1/6

And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)

Thus, P(B) = n(B)/n(S) = 2/6

Hence, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]

Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

Learn more about probability here:

brainly.com/question/1210781

Samantha is on the basketball team. At her game, she scored 19 out of 25 baskets. What percentage of shots did Samantha make?

Answers

Answer:

SAMANTHA IS ON A BASKETbALL TEAM I  NEVER KNEw

Step-by-step explanation:

She made 76% of the shots she took

Please help will give brainliest to answer

Answers

Answer:

your intire hw is not worth 5 pts but I will say that to find the slope is how many times the line goes up or down and to the right and left until it reaches the next dot

When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?

Answers

Set up a ratio with height over shadow height:

40/30 = x/15

Cross multiply:

40 x 15 = 30x

600 = 30x

Divide both sides by 30:

X = 20

The tree is 20 feet tall.

Answer:

20

Step-by-step explanation:

It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15

30 = 2 * 15

So we simply do that to 40 too.

40 / 2 = 20

So 20 is our answer.

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