A sphere has a radius of 4 inches. Determine the effects on the surface area and volume of a sphere when the radius is changed.

A Sphere Has A Radius Of 4 Inches. Determine The Effects On The Surface Area And Volume Of A Sphere When

Answers

Answer 1

Answer:

Step-by-step explanation:

The surface area of a sphere is given by

A=4πr^2

The volume is

V = (4/3)πr^3

At r = 4":

A = 64π in^2

V = 85.3π in^3

At r = 5" (a 25% increase in r)

A = 100π in^2  (a 156.25% increase)

V = 167π in^3  ( a 195.8% increase)

We can show the ratio of these two measures by dividing the Volume by the Area:

V/A = ((4/3)πr^3/(4πr^2))

V/A = (1/3)r

For the 2 examples (4" and 5"), V/A is:

4":  (85.3π in^3)/(64π in^2) = 1.33   [(1/3)r = 4/3 = 1.33]

5":  (167π in^3)/(100π in^2) = 1.67   [(1/3)r = 5/3 = 1.67]

V/A = (1/3)r

Since Volume is a function of r^3 and Area is related to r^2, Volume will always increase faster, by a ratio of 1/3 r.


Related Questions

can we represent any number on number line

Answers

Answer:

Rational numbers can be depicted on the number line. The centre of the number line is called Origin (O). Positive rational numbers are illustrated on the right side of zero (called origin), and negative on left side of origin. The representation of rational numbers on the number line depends on the type of fraction.

Step-by-step explanation:

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left. Here, fractions and decimals have been represented on the number line. A number line can also be used to represent both positive and negative integers as well.

what is 3/4 x 2/3 as a fraction

Answers

Answer:

6/12 or 1/2

Step-by-step explanation:

Multiply Across

Numerators 3 x 2 = 6

3 x 4 = 12

6/12

(or 1/2, simplified)

[tex] \\ \frac{3}{4} \times \frac{2}{3} [/tex]

[tex] \\ = { \cancel{ \frac{3}{4} }} \times { \cancel{ \frac{2}{3} }}[/tex]

[tex] \\ = \frac{1}{2} [/tex]

(b+3)(b+7) FOIL method

Answers

(b+3)(b+7)

b^2+10b+21

Step-by-step explanation:

(b + 3)(b + 7) = ...

= b² + (3 + 7)b + (3•7)

= b² + 10b + 21

What is an equation of the line that passes through the points (-6, -2) and
(-3, 2)?

Answers

Answer:

y = (4/3)x - 2/3

Step-by-step explanation:

From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units.  Thus, the slope of this new line is

m = rise / run = 4/3.  

Let's focus on the point (-3, 2).  Here x = -3 and y = 2.  Plugging these three values into the slope-intercept form of the equation of a line, we get:

2 = (4/3)(2) + b.

Then 2 = 8/3 + b, or 6/3 = 8/3 + b.  Thus, b = 6/3 - 8/3, or -2/3.

The equation of the desired line is y = (4/3)x - 2/3

Answer:y=4/3x+6

Step-by-step explanation:

Which pair of sneakers has the lowest sale price?

A) 20% off $35
B) 10% off $29
C) 15% off $30
D) 30% off $38

Answers

The answer is A because you have to take 20/100-35 and you do the same for A-D

15% off $30 has lowest sale price. Therefore, option C is the correct answer.

What is sale price?

A sale price is the discounted price at which goods or services are being sold.

A) 20% off $35

20/100 ×35

= 0.2×35

=$7

Sale price =35-7=$28

B) 10% off $29

10/100 ×29

= 0.1×29

= 2.9

Sale price =29-2.9

= $26.1

C) 15% off $30

15/100 ×30

= 0.15×30

= 4.5

Sale price =30-4.5

= $25.5

D) 30% off $38

30/100 ×38

= 0.3×38

= $11.4

Sale price=38-11.4

= $26.6

Therefore, option C is the correct answer.

Learn more about the sale price here:

https://brainly.com/question/29199569.

#SPJ2

Which is the reciprocal of 1 6/7

Answers

Answer:

7/13

Step-by-step explanation:

You would first have to turn the fraction into an improper fraction to find the reciprocal of the fraction!

1 6/7 = 13/7

Reciprocal means reverse, so reverse the improper fraction of 13/7 to get 7/13!

I hope this helps you!


The midpoint of AB = ([?], [ ])

Answers

Answer:

I believe it is (0,0)

Step-by-step explanation:

the midpoint can be found by adding the x values together and dividing by 2 for your midpoint x , and doing the same with the ys for the y value

for the x:

(1+-1)=0

0/2=0

and for the y:

(2+-2)=0

0/2=0

making it (0,0)

You and your friend are selling magazine subscriptions for a fundraiser after W weeks if you have sold (4w+1) subscriptions and your friend has sold (8w+6) subscriptions

Answers

Answer:

(4w+1)-(8w+6)

Step-by-step explanation:

Hope this helps :)

Use the linear combination method to solve the system of equations. *Explain each step of your solution.

2x - 3y = 13
x + 2y = 4

Answers

Step 1: We have the next system of equations -

[tex]2x - 3y = 13[/tex]

[tex]x + 2y = 4[/tex]

Step 2: Now, we will multiply by -2 the second equation:-

[tex] - 2(x + 2y) = 4[/tex]

[tex]→ - 2x - 4y = - 8[/tex]

Step 3: Then we add it :-

[tex]2x - 3y = 13[/tex]

[tex]( + ) \: - 2x - 4y = - 8[/tex]

Step 4: After finding the sum, we simplify:-

[tex] - 7y = 5[/tex]

[tex]→y = - \frac{5}{7} [/tex]

Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-

[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]

Step 5: Then simplify :-

[tex]y = \frac{38}{7} [/tex]

Therefore, the final answer is :-

[tex]x = \frac{38}{7} [/tex]

and

[tex]y = \frac{5}{7} [/tex]

---------------------------------------------

Answered by Benjemin360 ☺️

Answer this question

Answers

y is 5% more than 110:

y = 110 x 1.05 = 115.50

x = 5% less than y:

x = 0.95(115.50)

x = 109.725

The gov't of SVG has $1000,000 to share amongst (Health, Tourism, Edu) in the ratio 3.5.2 respectivity. How does each sector gets ? much honey 3 X​

Answers

Answer:

The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.

Step-by-step explanation:

HELP ASAP WILL GIVE BRAINLIEST OR MORE POINTS

Answers

Answer:

the first option

Step-by-step explanation:

hope this help have a great rest of your night :)❤

NEED HELP ASAP! WILL GIVE BRAINLIEST!
Choose the graph that represents the following system of inequalities: y ≥ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.

Answers

Answer:

(a)

Step-by-step explanation:

Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line


Joe is making a rectangular frame in woodshop class. The length of the frame is 2 inches
longer than the width of the frame. The perimeter of the frame is 24 inches. Write an
equation that could be used to determine w, the width in feet, of the frame.

Answers

Answer: The width is 5.

Step-by-step explanation:

'(2+w)+(2+w)+2w=24

4+4w=24

W=5

2-7/9x=5/6 without fractions

Answers

Answer:

x=0.6 repeating (meaning 6 is repeating so this is a repeating decimal)

on donne A(-1,2). Determiner les coordonnées du point B tel que AOB soit un triangle direct,rectangle et isocèle en O.

Answers

Answer:

donald trump

Step-by-step explanation:

whats the decimal equivalent of 16%

Answers

Answer:

0.16

Step-by-step explanation:

Percent means 'per 100'. So, 16% means 16 per 100 or simply 16/100.

The answer is 0.16

Answer:

0.16

Step-by-step explanation:

the difference of 3 times a number and 2 times that same number is 80.what is the number

Answers

(3n - 2n) = 80
n = 80

-4(x+9)+44=16-5x
solve the equation

Answers

Maybe 8/11, if you want it as a decimal it’s 0.723…

Solve and graph each of the following. Show your work to receive full credit.5x – 6 – 8x ≤ 9

Answers

Answer: x> or equal to -5

Step-by-step explanation:

5x – 6 – 8x ≤ 9

Combine the lioe numbers

-3x-6≤ 9

+6 to both sides

-3x≤ 15

Divide by a -3 to both sides

X>or equal to -5

Hope that helps

an electrician has 4.1 meters of wire.How many strips of 7 tenths can be cut?and how much wire will be left over?

Answers

If we’re talking about tenths, it would be .5 meters, with .6 meters of wire left over

0.5 meters per strip
0.6 meters left over

Please find x and y... I will mark you brainliest

Answers

Answer:

x.=6 y=7

Step-by-step explanation:

glad glad I could help

Answer:

x = 6

y = 7

Step-by-step explanation:

Side AB and side DC is equal so let's put it in a equation.

2y - 8 = y - 1

Use APE or Additive Property of Equality\

2y - y = 8 - 1

y = 7

So the value of y is 7.

Now substitute it to line BC.

y + 6

7 + 6

= 13

Since line BC and line AD has equal sides, let's put it in a equation.

2x + 1 = 13

2x = 13 - 1

2x = 12

Use DPE or Division Property of Equality

2x/2 = 12/2

x = 6

i need this one fast too so if you can please help fast

Answers

Y=-5 (-6, -5) is the answer

What is the value of x?

Answers

Answer:

more ... The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

For resolve this problem I use trigonometry identities.

[tex]sin(\theta) = \frac{OP}{H}[/tex]

Where [tex]\theta[/tex] is the angle of the triangle (45), [tex]OP[/tex] is the opposite side of the angle ([tex]6\sqrt{2}[/tex]) and the [tex]H[/tex] is the hypotenuse ([tex]x[/tex]).

Replace the know values in the relation

[tex]sin(45) = \frac{6\sqrt{2}}{x}[/tex]

Isolate [tex]x[/tex] of the equation and solve

[tex]\frac{6\sqrt{2}}{sin(45)} = x\\\frac{6\sqrt{2}}{\frac{\sqrt{2}}{2}} = x\\\frac{12\sqrt{2}}{\sqrt{2} } = x\\12 = x[/tex]

So the final answer is [tex]x = 12[/tex]

The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle? ​

Answers

length=22m

breadth=14.67

Determine whether each function is even, odd, or neither.
f(x) = x²_9

g(x) = |x-3

f(x) = 22-1

g(x) = x + x2

Answers

Od even od even im not shure about 3

Which of the following equations have exactly one solution? Choose multiple choices.

Answers

Answer:

-5x+12=5x-5

12=5x+5x-5

12+5=10x

17=10x

17/10=×

What is a quarter of 2770?

Answers

Answer:

692.5

Step-by-step explanation:

Answer:

it's 692.5

I hope it's right

Write three different multiplication problems for which the product is 9x2 + 18x. ​

Answers

18 ( 1 + X )

sorry if my answer wrong

Clara writes the equation (x â€"" 13)(x 8) = 196 to solve for the missing side length of a rectangle represented by the factor x 8. What is the missing side length represented by x 8 units of the rectangle? 7 15 20 28.

Answers

Answer:

The Answer is 28.  Please mark the brainliest! And thanks!

Step-by-step explanation:

Did with a teacher!

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