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

Give the domain and range of the relation. Tell whether the relation. Tell whether the relation is a function.

Answers

Answer:

It is the 4th option. Domain -3 ≤ x ≤ 3.   Range -2 ≤ y ≤ 2. This is not a function since it does not pass the vertical line test.

whats nine plus ten if anyone knows this meme put the answer in

Answers

Answer:

jnoioikop

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Hahahahahahhahahahhahaha

can someone pleasee help me. please and thank you!! it’s pemdas and gems:))) and the options are on the side!

Answers

first 5*3
then 8/2
next 4+15
should get 19

Besty has $27 saved. This month she saved an additional $9. She wants to buy packs of colored string to make bracelets. Each pack costs $6. Besty says she now has enough money to buy 6 packs. Carl says she has enough money to buy only 3 pack. I Besty or Carl correct? Explain your answer

Answers

Answer:

Yes, Besty is correct.

Step-by-step explanation:

$27 + $9 = 36. 36 divided by 6 is 6. Besty would only be able to buy 3 packs if each pack costed $12 (36 divided by 12 is 3).

Besty is correct. Believe me

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).

Answers

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds.  Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

[tex]t = 5.0625[/tex]

Step-by-step explanation:

Given

[tex]h(t)=-16t^2+80t+5[/tex]

Required

Find t when the ball hits the ground

This implies that h(t) = 0

So, we have:

[tex]0=-16t^2+80t+5[/tex]

Reorder

[tex]-16t^2+80t+5 = 0[/tex]

Using quadratic formula, we have:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = -16[/tex]      [tex]b =80[/tex]      [tex]c = 5[/tex]

So, we have:

[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]

[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]

[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]

[tex]t = \frac{-80\±82.0}{-32}[/tex]

This gives:

[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]

[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]

[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]

But time can not be negative.

So, we have:

[tex]t = \frac{162}{32}[/tex]

[tex]t = 5.0625[/tex]

Hence, time to hit the ground is 5.0625 seconds

lus
Donna is making blueberry muffins. She
wants to make a batch that is six times
larger than her recipe makes. Her recipe
calls for 1 cup of blueberries. How many
cups of blueberries will she need?

Answers

Answer:

6? cause it is six times bigger so six

I’m pretty sure it’s 6

will mark brainliest for the correct answer! just read the english, okay? the other language is the translation for the english.

Answers

Answer:

Step-by-step explanation:

Given equation is,

y = 3x² - 6x + 11

a). y = 3x² - 6x + 11

       = 3(x² - 2x) + 11

       = 3(x² -2x + 1 - 1) + 11

       = 3(x² - 2x + 1) - 3 + 11

       = 3(x - 1)² + 8

Comparing this equation with y = a(x - b)² + c

a = 3, b = 1 and c = 8

b). For minimum value of x,

    Since, vertex of the graph is given by (b, c),

    Minimum value of x will be,

    x = b

    x = 1

c). Vertex of the parabola → (b, c)

                                           → (1, 8)

    For y-intercept,

    By substituting x = 0 in the equation,

    y = 3(0 - 1)² + 8

    y = 11

Now we can sketch the graph by using the table of input - output values.

x         -2        -1           0            1             2          3

y        35        20         11           8            11         20  

6) Find the value of y. (pic below)
A. 90 degrees
B. 135 degrees
C. 45 degrees
D. 180 degrees

Answers

Answer:

the answer is c

Step-by-step explanation:

if it is a right triangle most of the time the 2 acute angles will most likely be 45 degrees

Answer:C.45 degrees

Step-by-step explanation:

135º+yº=180º

y=180º-135º

y=45º

If r = 1 and θ = 4π/3 what is the approximate arc length

Answers

Answer: 4.189 units

Step-by-step explanation:

AP EX

As per linear equation, the required approximate arc length is 4.19 units.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given,  length of the radius (r) = 1 units

The value of the given angle(θ) = 4π/3 radian.

Therefore, the approximate arc length is

= length of the radius × value of the given angle

= r × θ

= 1 × 4π/3 units

= 4π/3 units

= 4.19 units

The required approximate arc length is 4.19 units.

Learn more about linear equation here: https://brainly.com/question/11897796

#SPJ2

Employees at a hardware store are receiving pay raises. Dan's hourly pay rate is increasing from $12 to $14. Kathy's hourly pay rate is increasing from $13 to $15.

Part A

Complete the proportions that can be used to find the percent change, x, in Dan's and Kathy's pay rates.

Answers

Answer:

1/6 or like 15 or 16 percent comment for

my snop chot

8 - 10 is the same as


A. -8 + -10


B. 8 + (-10)


C. -8 + 10


D. 8 + 10

Answers

B. 8+(-10)


Explanation:

8-10 is -2
If you try all the answers, 8+-10=-2

Karen correctly solved
X^2 + 3x = 18 using the factoring method what solutions did Karen find?
A. {-3, 6}
B. {-6, 3}
C. {2, -9}
D. {-2, 9}

Answers

Answer

d

Step-by-step explanation:

is the following equation true or false 12 3/8=12+3/8

Answers

Answer:

Its true

Step-by-step explanation:

Answer:

Uh yes it is true

Step-by-step explanation

I honestly don't know if you are trolling me or really have a confusion

Round 25 to two decimal places

Answers

Answer:

To round off a number to 2 decimal places, look at the digit in the thousandths place. If the digit in the thousandths place is greater or equal to 5, the hundredths digit is increased by one unit.

Step-by-step explanation:

I need help with this plzzz percent equations blank % of $900,000 = $270,000

Answers

Answer:

30%

Step-by-step explanation:

Use the graph below to answer the question.

On a coordinate plane, a horizontal line is at y = 4.

What is the slope of a line that is parallel to the line in the graph?

Answers

Answer:

0

Step-by-step explanation:

edg 2020

Answer:

0

Step-by-step explanation:

if its parallel then its gonna be the same slope

URGENT 20 POINTS AND BRAINLIEST DUE TODAY

Answers

Answer:

I would help you but i usally know how todo this but i can't figure this out when i figure this out ill come back to it and edit my answer

Step-by-step explanation:

what is 5[tex]5\frac{1}{3} divide by \frac{2}{3}[/tex]

Answers

Answer: 5 1/3 divided by 2/3 is 8

10( x + 1) = 2 x-7
??

Answers

Answer:    x=- 17 / 8

Step-by-step explanation:

1

0

(

+

1

)

=

2

7

{\color{#c92786}{10(x+1)}}=2x-7

10(x+1)=2x−7

1

0

+

1

0

=

2

7

{\color{#c92786}{10x+10}}=2x-7

10x+10=2x−7

2

Subtract

1

0

10

10

from both sides of the equation

3

Simplify

4

Subtract

2

2x

2x

from both sides of the equation

5

Simplify

Answer: -17/8 negative seventeen over eight

Step-by-step explanation:

what is the y-intercept of this line: y=5-7x

Answers

Answer:

5

Explanation: y-intercepts are just numbers that don't have any variables and they can be found on the y axis.

Answer:

5

Step-by-step explanation:

Rewrite the equation as y=-7x+5.

y=mx+b is slope-intercept form with mx representing slope and b representing the y-intercept.

Nick is buying juice for himself and 5 friends. Each bottle of juice costs $1.25. How much do 6 bottles of juice cost? Complete the table to find the cost of 6 bottles of juice.

Answers

Answer:

$7.5 for six boxes of juice

Step-by-step explanation:

1.25 times 6=7.5

If 99 candies are needed to fill in a jar, calculate the total candies needed to fill in 108 jars.​

Answers

Answer:

10,692 candies

Step-by-step explanation:

Answer:

207

Step-by-step explanation:

Mr. Charles bought dinner for his family.

The dinner cost $46.95.
He left a 15% tip.
About how much tip did Mr. Charles leave?

A.
$4.00

B.
$1.50

C.
$5.00

D.
$7.00

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

Calculate the constant of proportionality, k, for the given table.

Answers

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s actual height is 4 feet, 2 inches.
1.What was the error, expressed in inches?
2.What was the error, expressed as a percentage of the actual height?​

Answers

Percentage of error by Clare is estimated as 4.1667 %

Height measured by Clare = 4 feet

Height measured by Doctor = 4 feet, 2 inches

Percentage error = ?

Percentage error = Difference/ Actual height *100

Percentage error = (2/ (4*12))*100

Percentage error = 4.1667 %

The accurate height is measured by Doctor, as he have more accurate measurement system.

Please help me please!!!

Answers

Domain : 4 ,1 ,0
Range : 2 ,1 ,0 ,-1 ,-2


Question 8 of 8
Find the slope-intercept equation of the line.

Plz help last question
I need the equation plz

Answers

Answer:

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

To find the slope you look at how much the line rises after going 1 unit to the right. In this equation it rises 2 after going over, or running, 1 unit to the right. So the rise over run is 2 over 1. It can be represented in a fraction 2/1. The slope is the rise over run, being 2.

The constant in the equation, or the y-intercept, is the point where the line intersects the y axis, the dark vertical line. You can count how many units it is from the origin where the 2 black lines intersect. The y-intercept in this is 2.

The slope is the number bedfore the x and the y intervept is the constant after the x.

Answer:

y = -2x + 2

Step-by-step explanation:

y=mx+b

find slope(m) first:

choose two points: (1,0), (0,2)

(y2-y1)/(x2-x1)

= (2-0)/(0-1)

= 2/-1

= -2

10
8
6
4
2
X
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
What is the equation of the line in slope-intercept form?
arm
N

Answers

Answer:

This link has all the answers for that quiz: https://brainly.com/question/19699782?answering=true&answeringSource=greatJob%2FquestionPage%2F1

what is the sum of three consecutive even numbers is 30?

Answers

8, 10, 12

A helpful equation:
x+x+1+x+2 = 30

Combine like terms
3x + 3 = 30

Subtract 3 from each side
3x = 27

Divide each side by to isolate x
x = 9

x = 9. However, 9 is not an even number. Let’s subtract 1 from 9 to get the first even number.

The first number is 8. The best two even numbers after 8 are 10 and 12.

8 + 10 + 12 = 30, thus this is the sequence.

Answer:

here:

you can make an equation

x + ( x + 2) + (x + 4) = 30

then by combining like items you get

3x + 6 = 30

then solve

3x = 30 - 6 ; then 3x = 24 , and x = 8

so the three numbers are 8 ; 10 and 12.

If 1 1/2 sections are 3/4 mile long, how long is each section?

Answers

Answer:

1/2 mile

Step-by-step explanation:

.75 mile /1.5 sections = .5 mile/section