Two solids are described in the list below.

• One solid is a sphere and has a radius of 6 inches.

• The other solid is a cylinder with a radius of 6 inches and a height of 6 inches. What is the difference between the volumes, in cubic inches, of the solids in terms of pi?

A) 72pi
B) 144pi
C) 216pi
D) 288pi​

Answers

Answer 1

Answer:216X

Step-by-step explanation:

Volume of the sphere = 4/3 πr³

radius r = 6 inches

Volume = 4/3 π(6)³

⇒ 4/3(216)π

⇒ 472π

⇒ 288π cubic inches

Volume of  a cylinder = π r²h

radius r = 6 inches

height h = 6 inches

Volume = π(6)²(6)

⇒ 6³π

⇒ 216π cubic inches

Difference between the volumes = 288π - 216π = 72π


Related Questions

The area of a bookmark is 140 square centimeters. The perimeter is 54 centimeters. What are the dimensions of the bookmark?

Answers

Answer:

See explanation

Step-by-step explanation:

Recall that all the sides of the square are equal

Hence;

Area of a rectangle= l * b ------- equation 1

Perimeter of a rectangle = 2(l + b)----------equation 2

Area of the rectangle = 140 square centimeters

140 = lb

l = 140/b

Perimeter of the rectangle =  54 centimeters

substituting l = 140/b into equation 2

54 = 2(140/b + b)

Multiplying through by b

54b = 280 + 2b^2

Hence;

2b^2 - 54b + 280 = 0

Solving the quadratic equation

b=20 or b=7

substituting b=20 or b=7 into l = 140/b

l = 140/20 or l = 140/7

l = 7 or 20

THEREFORE;

b=20 cm or b=7 cm

l = 7cm or 20cm

Owen bought 9 chicken wings for $15.30. What was the cost of the wings, in dollars per wing?

Answers

Answer:

1.70

Step-by-step explanation:

15.30 ÷ 9 = 1.70

1.70 dollars per chicken wing

I hope this helps

pls help i will rate u 5 stars and possibly mark u brainless HELP PLS.​

Answers

2,340 is the correct answer because all you have to do is just multiply all the sides to get your area.

Please help me



In a city all the houses are either three or four storeyed the ratio of the number of three storyed building to four storeyed building is 5:3 if the total number of buildings is 488 find the number of four storeyed buildings. ​

Answers

5:3 time 488
Get the answer using calculator please

Jim ate 50 cookies yesterday. He ate 3 boxes of cookies and 8 cookies. How many cookies were in each box?

Answers

Answer:

Step-by-step explanation:

3b+8c=50c

3b=50c-8c

3b=42c

b=14c

So there are 14 cookies in each box.

Answer:

14

Step-by-step explanation:

First, take away the 8 cookies that were not part of the 3 boxes.

(50 - 8 = 42)

Now we know that 3 boxes of cookies can hold 42 total cookies. However, we need to know how much cookies 1 box can hold. If the 42 cookies are divided evenly between the 3 boxes, our equation would look like this:

42/3 = 14

Therefore, the answer is 14 cookies in each box.

P < 4.75 represents the prices p in dollars that Paige is willing to pay for popcorn. The inequality p < 8.00 represents the prices p in dollars that Paige is willing to pay for a movie ticket. At how many theaters would Paige be willing to buy a ticket and popcorn?

Answers

Answer:

1 theater

Step-by-step explanation:

Given

[tex]P<4.75[/tex] --- Popcorn

[tex]P < 8.00[/tex] --- Movie

See attachment for the table that shows ticket and popcorn prices at five movie theater chains

Required

The number of theaters that supports the given inequality

The given inequality can be combined to give:

[tex]P < 4.75\ and\ P<8.00[/tex]

From the table entries, only one theater supports this inequality.

Where

[tex]P = 4.25[/tex] --- Movie

[tex]P = 7.25[/tex]  --- Popcorn

Which gives:

[tex]4.25 < 4.75\ and\ 7.25<8.00[/tex]

At a school social, parents attended with their children. Everyone had a choice between a sweet snack and a salty snack. Here is a two-way table showing the number of adults and children who made each choice of snack.

sweet snack salty snack total
adult 57 88 145
child 77 31 108
total 134 119 253

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

what us the answe

re

. In a school 58of the students are boys. If there are 240 girls. Find the total number students in the school

Answers

You add boys and girls together. 58+240=298

Help me with this please it’s a very big grade this is half of my grade

Answers

Answer:

yeah the graph does match the equation

Answer:

Yes because the y intercept is at -1 like the equation and also can I have brainliest.

Step-by-step explanation:

4. Which expression is equivalent to - (6x + 9) - (x - 2)?
A. 5x - 3
B. - 2x + 7.5
C. -4x - 3
D. -4x - 6

Answers

A because 6x + 9 - x + 2 = 5x + 11

equivalent to the expression x + 3x + 5x for all values of x?
A.
8x

B.
9x

C.
8x3

D.
9x3

Answers

Answer:

9x

Step-by-step explanation:

Since all of them have the same variable you can add them up

1x+3x+5x=9x

What is the distance from -36 to 36 on a number line?

Answers

Answer:

The distance is 20

Step-by-step explanation:

Whats the answer to this question lol

Answers

Answer:

1/12

Step-by-step explanation:

Multiply 1/2 x 1/6 = 1/12

I have no idea what this means ;-; help! NO WRONG ANSWERS PLS

Answers

Answer:

Option A. I'm not sure about it.

I need help I don’t understand this at all please

Answers

Step-by-step explanation:

[tex] \tan( \alpha ) = \frac{15}{9} = \frac{7}{h } \\ h = \frac{7 \times 9}{15} = 4.2[/tex]

-11y = 6(2+1) - 13y
4y - 24 = c(z – 1)
For what value of c does the above system of linear equations in the variables y and z have
infinitely many solutions?

Answers

Answer:

12

Step-by-step explanation:

Let's put the equations in standard form. For the first equation, we have:

−11y=6(z+1)-13y

2y−6z=6

y−3z=3

The second equation is:

4y−24=c(z−1)

4y−cz=24−c

If we multiply the first equation by 4, we get:

4y-12z=12

Comparing the two equations, we see that if c=12, both equations will be the same and there will be infinitely many solutions.

The correct value of c is 12.

Ethan was asked to paint the number of plates
on 100 apartments which means he will have to
paint numbers 1 through 100. How many times
will he have to paint the number 8?

Answers

Answer:

10 times

Step-by-step explanation:

8    88

18   98

28

38

48

58

68

78

Answer:

12 times

Step-by-step explanation:

you have to count how many times that the number 8 comes up.

solve 5sin^2x-1=0
ok

Answers

Answer:

to 1 decimal place,. (a) tan (3x + ... (i) 2cos 2x – 5sin 2x = 0 R cos(2x + λ) = 0 λ = 68.2 ⇒ 2x + 68.2 = 90 B1. 2x + λ = ... (16cos2x – 9)(cos2x – 1) = 0.

URGENT!!! For quiz now!
Solve the pair of simultaneous equations using matrix methods.
1) x + y =2 , x + y =3
2) 3x + 2y = 14 , x + 4y =12
3) -3x + 2y = -16 , -x - 5y = -10
4) y = 2x - 5 , 7x - 2y =16

Answers

Answer:3?

Step-by-step explanation:

Start and arguement in the comments LOL

Answers

Answer:

Bro u need to shu.t up all ready

Step-by-step explanation:

Need help plzzzz ??????????????

Answers

I think true if not sorry

. Subtracting a negative number from a positive number is the same as adding a positive number to a positive number.


TRUE OR FALSE

Answers

Answer:

false

Step-by-step explanation:

-6+12=6

6+12[tex]\neq[/tex]6

Answer

False

Step-by-step explanation:

Start at 6 , and move 8 units to the left. Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.

Given that R=7x+5Y find Y when X=9 and R=35 give your answer as an improper fraction in its simplest form


Please help

Answers

Answer:

y = -28/5

Step-by-step explanation:

R = 7x +5y

35 = 7(9) + 5y

35 = 63 +5y

-5y= 63- 35

-5y/-5 = 28/-5

Y = -28/5

Answer:

Y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given

R = 7X + 5Y ← substitute X = 9, R = 35

35 = 7(9) + 5Y

35 = 63 + 5Y ( subtract 63 from both sides )

- 28 = 5Y ( divide both sides by 5 )

- [tex]\frac{28}{5}[/tex] = Y

laura counted 14 red cars in the sales lots of car dealerships. what is the prime factorization of 14
A 2x7
B 1x14
C 2x2x5
D 2x2x2
help, please

Answers

Answer:

a is correct

hope this helps

Tony's town had an election last month. 180 people voted in the election and 720 did not vote. What percentage of the people voted?

Answers

20% if the town.

Hope this helps!

Answer:

20%

Step-by-step explanation:

180 + 720 = 900 total people in town

180/900 or 180 ÷ 900 = 0.2 or 20%

Hope this helps!

Solve the system of equations by substitution.
x+4y=10 x=2y+4
x= y=​

Answers

x= 6 x= 1

Step-by-step explanation:

hope this helps..........

2y+4+4y=10
6y= 6
y= 1

when y=1,
x= 2(1)+4
x= 6

Which mixed number is equal to 27/6?

Answers

Answer:

4 [tex]\frac{3}{6}[/tex]

Step-by-step explanation:

this is another math thingy

Answers

Answer:

7.15 (two sig figs)

Step-by-step explanation:

There is a time limit dude, googling is a faster way

1. Area of rectangle

A = l*z

2. Find z

93 = 13*z

z ≈ 7.15

Answer:

7km

Step-by-step explanation:

The given figure is a rectangle

The formula to find area of rectangle is,

[tex]l \times b[/tex]

Here,

Length = 13km

Area = 91 km^2

Then breadth = 91/13

= 7 km

Jason buys 15,000 grams of potatoes at the grocery store. How many kilograms of potatoes does he buy?

Answers

Answer:

15 kilograms

Step-by-step explanation:

[tex]15000 \: grams = \frac{15000}{1000} = 15 \: kg[/tex]

Answer: 15 kilogram

Step-by-step explanation:

1000 Gram equal to 1 kilogram

Calculate the value
of the unknown
coefficient b of a
quadratic equation
when the
discriminant of that
equation is known.

3x² + bx + 2 = 0; Coefficient = 12

Answers

Answer:

The value of b is either + 6 or -6

Step-by-step explanation:

Here, given that we have the value for the discriminant, we want to calculate the value for the coefficient of x

mathematically, the discriminant can be calculated using the equation;

D = b^2 - 4ac

a represents the coefficient of x^2 which is 3

b represents the coefficient of x given as b

2 represents the last number

D is the discriminant = 12

So we have that;

12 = b^2 - 4(3)(2)

12 = b^2 - 24

b^2 = 24 + 12

b^2 = 36

b = √36

b = +6 or -6

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