There are two spheres; the radius of the big sphere is two times the radius of the small sphere. How many times larger is the volume of the big sphere compared to the small one?

Answers

Answer 1

The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

The formula of the volume of a sphere is given below

⇒ Formula:

V = 4/3(πr³)................. Equation 1

⇒ Where:

V = Volume of the spherer = radius of the sphereπ = constant called pie

From the question, There are two spheres.

If the radius of the bigger sphere is two times the radius of the smaller sphere.

R = 2r

⇒ Where

R = bigger radiusr = smaller radius

For the bigger sphere

⇒ Substitute these values into equation 1

V = 4/3(π(2r)³)V = 4/3(π8r³)............. Equation 2

  For the smaller sphere,

V' = 4/3(πr³)............... Equation 3

⇒ Comparing equation 2 and equation 3

V = 8V'

Hence, The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

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Related Questions

pls help me due t
in 1 hrs I'll give u brainliest answer

If x²+y²=125 and xy=22, find the value of (x+y)².

Answers

[tex]\text{Given that,}~x^2 +y^2 = 125 ~ \text{and}~ xy =22\\\\(x+y)^2 = x^2 +y^2 +2xy = 125 +2(22) = 169[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(x + y) {}^{2} [/tex]

[tex] \sf {x}^{2} + {y}^{2} + 2xy[/tex]

[ by using formula ]

[tex] \sf125 + (2 \times 22)[/tex]

[tex] \sf125 + 44[/tex]

[tex] \sf169[/tex]

I hope it helps ~

Cube A has an edge length of 3 inches. Cube B has an edge length double that of Cube A.

What is the volume, in cubic inches, of Cube B?

A. 27in^3

B. 36in^3

C. 216in^3

D. 729in^3

Answers

Answer:

216

Step-by-step explanation:

Cube A volume

3*3*3=27

Cube B volume

6*6*6=216

Edge length of cube B=2(3)=6in

Volume:-

[tex]\\ \sf\longmapsto V=(6)^3[/tex]

[tex]\\ \sf\longmapsto V=6(6)(6)[/tex]

[tex]\\ \sf\longmapsto V=216in^3[/tex]

2 2/6 is equivalent to what?​

Answers

The answer is 2.3333333333

What is 40÷1/2 please help me

Answers

Answer: Pretty sure it's 80

Step-by-step explanation:

80.
Explanation: when dividing by fractions here’s what I do. Instead of having a divide sign change it to a multiplication sign. Next flip your numerator and denominator of your fraction. In this case instead of 1/2 switch it to 2/1. You don’t see it but 40 is also 40/1. So multiply across aka numerator times numerator and denominator time denominator. 40 times 2 and 1 times 1. You’re left with 80/1 aka 80.

plss help me....... ​

Answers

Answer:

The slope

Step-by-step explanation:

Find the x- and y-intercepts of the parabola y=x2+4x−6.

Answers

The x and y intercepts are as followed: where the parabola touches the X axis

Given the system: 3x-3y=9 -9x+12y= -30

What number would you multiply the TOP equation by to eliminate your "x" values with addition?

Answers

Answer:

you would multiply by 3.

Step-by-step explanation:

Hi there!

In order to solve this system of equations through elimination, the sum of either the x or y values will have to equal 0. To eliminate x, you would have to find what, when added, will make the sum 0. In this case, a positive 9 will cancel out the -9 and give us 0. All we have to do is multiply the top equation by 3 so that the x value is equal to 9x!

I hope this helps!

What is the answer to this?

Answers

Answer:

2x+1=9

Step-by-step explanation:

[tex]\sqrt{2x+1}+5=2[/tex]

[tex]\sqrt{2x+1}=-3[/tex]

[tex]2x+1=9[/tex]

If they want you to solve, then you can go farther.

2x=8

x=4

Check for extraneous solutions:

[tex]\sqrt{2(4)+1} +5 = 2[/tex]

Need answer to the question

Answers

Answer:

B) Symmetric property of congruence

Step-by-step explanation:

The angles 1 and 2 are marked as congruent

If a ≅ b, then b ≅ a, this is called the symmetric property of congruence:

The symmetric property states that if one figure is congruent to another, then the second figure is also congruent to the first.

Correct choice is B

Answer:

Symmetric property of similarity

Step-by-step explanation:

If a=a then that's reflexive propertyIf a=b and b=c then a=c, transitive property

After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise

Answers

Answer:

Step-by-step explanation:

The total they want to raise is $2,400 if that is what you're asking?

What is the slope of the line containing (-3, 1) and (1, -2)?

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer: The answer is C, -3/4.

Explanation: First graph the points, then add the straight line through them and to find the slope you do rise/run, formula being y2-y1/x2-x1. This means putting the second y value minus the first y value and dividing that by the second x value minus the first x value. Then simplify.

Given that
P
=
x

y
.
Find
P
when:
x
=
15
and
y
=
20

Answers

Answer:

the answer would be -5

Step-by-step explanation:

p=15-20 p=-5

Multiply and write the result in Scientific notation


(3 x 10^5) (2 x 10^2)


?

Answers

6 x 10^7. Add exponents

can someone help me with this math problem?​

Answers

Answer:

∠ B ≅ ∠ E

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

ABC ≅ DEF

The corresponding angles are B and E

Answer:

The answer is [tex]\angle B\cong \angle E[/tex]

Step-by-step explanation:

Given that

[tex]\Delta ABC \cong \Delta DE[/tex][tex]F[/tex]

Hence corresponding angles are congruent

[tex]\angle B\cong \angle E[/tex]

can somebody help solve 75 - 6x = 4x - 15

Answers

Answer:

x = 9

Step-by-step explanation:

75 - 6x = 4x - 15

We want to arrive at an answer that looks like

x = a number,

so we want x on the left side and numbers on the right side.

Remember that whichever operation we do to one side of the equation, we must do to both sides.

Since there is a 75 on the left side, and it is being added to -6x, subtract 75 from both sides.

75 - 75 - 6x = 4x - 15 - 75

Simplify both sides.

-6x = 4x - 90

Since there is a 4x on the right side, and it is being added to -90, subtract 4x from both sides.

-6x - 4x = 4x - 4x - 90

Simplify both sides.

-10x = -90

We want x, but x is being multiplied by -10, so we divide both sides by -10.

[tex] \dfrac{-10x}{-10} = \dfrac{-90}{-10} [/tex]

Simplify both sides.

x = 9

Alexandra was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 13%. What number should she multiply the cost of the meal by to find the total plus tip in one step?

Answers

Answer:

x = Total meal cost

y = Total cost-plus tip

113% * x  =  y

Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?

Answers

Answer:

$15,589

Step-by-step explanation:

Since it deteriorated 15%, it is now worth 85% of the original.

18340 * .85 = 15589

A line with a slope of 2 passes through the point (6,4). What is its equation in
slope-intercept form?

Answers

Answer:

y=2x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2(x-6)

y=2x-12+4

y=2x-8

HELPPP PLS :)
find the value of x.

Answers

Answer:

9

Step-by-step explanation:

4x - 2 = 34 measure of two legs of isosceles triangle are equal

4x = 36

x = 9

Please help, very urgent!!!! 50 points!!

Answers

Answer:

f = 14

Step-by-step explanation:

it is because skephalo and hot and poggers science and dnf

Which of the following is most likely the next step in the series?
A.
B.
C.
D.​

Answers

Each consecutive element of the series has one less blue points than the before element, with that, we conclude that the correct option is D, where there is only one blue point.

Which of the following is most likely the next step in the series?

Here we can see a series of 3 elements.

the first element is a circle with 4 blue points on its circumference, such that the points are connected to form a rectangle.

The next element is a circle with 3 blue points on it, such that when the points are connected a triangle is formed.

The third element is a circle, this time with 2 points, and the connection forms a segment.

So what we can see is that in each consecutive element the number of blue points on the circumference of the circles decreases by one, so the logical conclusion is that the next element will have only one point on its perimeter, then the correct option is D, where we can see only one blue point on the perimeter of the circle.

Learn more about series:

https://brainly.com/question/24643676

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-2 (y - 3) = y + 24 HELPPP PLEASEE ITS DUEEE IN 5MINN

Answers

Answer:

y = -6

Step-by-step explanation:

-2(y - 3) = y + 24

-2y + 6 = y +24

-18 = 3y

-6 = y

The area of a square is s2, where s is the side length of the square. Jack has a square-shaped flower garden in his yard. Each side of the garden is 8 feet. What is the area of the flower garden?

Answers

Answer:

64 square feet

Step-by-step explanation:

A = s² = 8² = 8*8 = 64

Elevator 1 in a building moved from ground position to a final position of +13 feet. Elevator 2 in the same building moved from ground to a final position of −10 feet. Which statement best describes the final positions of these two elevators? (5 points)

Question 4 options:

1)

Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below the position of Elevator 1.

2)

Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above the position of Elevator 1.

3)

Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above ground level.

4)

Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below ground level.

Answers

Answer:

Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1. We are given that Elevator 1 is "+12 feet" and Elevator 2 is "-15 feet" meaning 15 feet below that of Elevator 1 (because they said it was where it was at Elevator 1 ground level prior), so this should be your answer "A".

Step-by-step explanation:

1 a

Everything in the store was at 30% discount . A dress was originally for 65$ . What was the discount price ?

Answers

45.50 is your answer

Answer: $45.50

Step-by-step explanation:

30% discount means 30% off the original price

1. find 30% of 65$

=.3*65

=19.5

2. subtract that from 65$

=65-19.5

=45.5

the discount price was $45.50

Ellie and Isaiah are helping their friend Nora move. If Ellie can move 4 boxes for
every 16 boxes that Isaiah moves, then how many boxes can Isaiah move for every
box that Ellie moves?

Answers

Answer:

Isaiah can move 4 boxes for every box Ellie moves.

Pls give brainliest. :D

Jordan made this design from three pieces of square shaped cloth. What is the total area of design Jordan made? EXPLAIN how u found your answer

Answers

Applying the area of a square, the total area of the design is: 116 cm²

Area of Square

A square has equal side lengths, s, this, the area of a square is given as: A = s².

The three pieces of square shaped cloth that Jordan made the design from is shown in the image attached below.

To find the total area of the design, find the area of each square shaped cloth and add all together.

Thus, applying the area of a square, the total area would be:

Total Area = 4² + 6² + 8²

Total Area = 116 cm²

Learn more about area of square on:

https://brainly.com/question/16758129

How do I write 435 in expanded from

Answers

Answer : 400 + 30 + 5

Step - by - step explanation : To write something in expanded form means to write the number individually. " To see the math value of individual digits ".

4 --> Since it's in the hundreds place that means the number is 400 !

3 --> Since it's in the tenths place that means the number is 30 !

5 --> Since it's the first digit that means it stays as the number 5 !

Hope this helped ! <33

Take care happy holidays ! Contact me if you need more help on this ! ( If you want )

Chang works as a tutor for $11 an hour and as a waiter for $13 an hour. This month, he worked a combined total of 90 hours at his two jobs. Let t be the number of hours Chang worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answers

Can you show more information please? I need more.

T = 90t + 90w

Step-by-step explanation:

90t = 90x11 = 990

90w = 90 x 13 = 1170

T = 90t + 90w

T = 990 + 1170

T = 2160

2, 1, 2, 4, 5, 4

What is the mean

Answers

Number of observations = 6

[tex] \sf \: mean = \frac{Sum \: \: of \: \: Observation} {Total \: \: number \: \: of \: \: Observations} \\ \sf = \frac{2 + 1 + 2 + 4 + 5 + 4}{6} \\ = \sf \frac{18}{6} = 3[/tex]

Answer:

3

Hope you could get an idea from here.

Doubt clarification - use comment section.

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