Kenji packed an exercise ball into a cylindrical package. The cylindrical package is made out of plastic. How much plastic was used to make the package? Express your answer in terms of π. Enter your answer in the box.

Answers

Answer 1

Answer:

45[tex]\pi[/tex]

Step-by-step explanation

The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.

Volume of a cylinder = h

Lets say r is the radius and h is the height of the cylinder.

Given that; h = 5 feet and r = 3 feet.

The required volume = [tex]\pi[/tex] × × 5

= [tex]\pi[/tex] × 9 × 5

= 45[tex]\pi[/tex] cubic feet

Related Questions

if bob had 5 apples and gave Samatha 2 apples how much does he have

Answers

Answer:

Step-by-step explanation:

5-2=3

Answer:

According to my calculations...3

Step-by-step explanation:

slove The System of linear
equations by graphing.
3) y=x+3 Y=x+1

Answers

Answer:

Step-by-step explanation:

Brooke bought 5 plates for $44. If the price of the plates is always the same, which represents the total cost, y, of buying any number of plates, x?

Answers

Answer:

y = 8.80x

Step-by-step explanation:

Th price of one plate = $44 / 5 = $8.80

the cost of any x plate can be determined by multiplying $8.80 by x

y = $8.80x

For example if x is 10, y = $8.80(10) = $88

If x = 100, y = $8.80(100) = $880

Answer:

y = 8.80x

Step-by-step explanation:

Th price of one plate = $44 / 5 = $8.80

the cost of any x plate can be determined by multiplying $8.80 by x

y = $8.80x

For example if x is 10, y = $8.80(10) = $88

If x = 100, y = $8.80(100) = $880

Identify the pair of congruent corresponding angles and the corresponding sides.

Answers

angle m, angle n, angle p, mn, pn, pm

The ratioof men to woman at a university is 6 to 5. How many woman students are there if there are 3600 men?

Answers

Answer:

There are 3000 woman students.

Step-by-step explanation:

Since the ratio is 6:5, so we have to reduce our number to 3000 from 3600 as 6x6=36 and then we can add the zeros.

Find the value of x.

Answers

Answer: x = I’m not doing that

Step-by-step explanation:

knhkfjvvjhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

??????? what ?????????

Which table represents linear function?

Answers

Answer:

does not represent a linear function.

Step-by-step explanation:

For the function to be linear, the slope must be the same for every poknt along the function. If is not, then is not a linear function.

Let us now calculate the slope;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

We shall take the first two points

[tex]m = \frac{4 - 2}{2 - 1} \\ m = \frac{2}{1} \\ m = 2[/tex]

Next we shall take the 2nd and 3rd points

[tex]m = \frac{8 - 4}{3 - 2} \\ m = \frac{4}{1} \\ m = 4[/tex]

The slope is not the same for these two different point, hence this table does not represent a linear function.

Diego and Jada are both trying to write an expression with fewer terms that is equivalent to
7a + 5b - 3a + 4b

Jada thinks 10a - 1b is equivalent Diego thinks 4a + 9b is equivalent

Answers

Answer: Diego, 4a + 9b is equivalent

Step-by-step explanation:

7a + 5b - 3a + 4b

= (7a - 3a) + (5b + 4b) We rerange the variables, and put them together with (), which make it more clear to solve.

= 4a + 9b

The data represents the height, in feet, of various buildings. Find the Interquartile Range.

60, 58, 54, 56, 63, 65, 62, 59, 56, 58

Plsss helpppppp :(
This is a testt!

Answers

Answer: 6

Step-by-step explanation:

convert the following fractions to decimals
9/16

6 3/5

1/4

Answers

0.5625
12.6
0.25
Give me a star and thx

Which point is on the graph of a direct variation equation in which k = 0.4?

A) (10, 0.04)
B) (4, 10)
C) (10, 4)
D) (0.04, 10)

Answers

i think that it would be A

If time is four hours from now, the time left till midnight would be quarter that if it is one hour from now. What time is it now?

Answers

Answer:

The time now is 7 pm

Step-by-step explanation:

Suppose that now is the time T.

We know that:

"if time is four hours from now, the time left till midnight would be a quarter that if it is one hour from now".

Then:

if we define midnight as 12, and we assume that T is in the pm range.

Then the "time left till midnigth, assuming that the time is four hours from now" will be written as (12 - (T + 4))

With this in mind, we can write the problem as:

12 - (T + 4) = (1/4)*( 12 - (T + 1))

Now we can solve this for T.

12 - T - 4 = (1/4)*(12 - T - 1)

8 - T = (1/4)*(11 - T)

4*(8 - T) = 11 - T

32 - 4*T = 11 - T

32 - 11 = -T + 4*T

21 = 3*T

21/3 = T

7 = T

Then T = 7 pm

The time now is 7 pm

The population density of City A is 6000 people per square mile. City B is a dilation of City A with scale factor 1.5 . If City B has 3/5 of the population of City A, what is the population density of City B?

Answers

Answer:

[tex]1600\ \text{people per square mile}[/tex]

Step-by-step explanation:

Number of people per square mile in City A is 6000.

In terms of size City B is a dilation of City A with scale factor 1.5.

This means a length of 1 mile in city A would be 1.5 miles in city B.

So, [tex]1\ \text{mile}^2\text{ in City A}=1.5^2\ \text{mile}^2\text{ in City B}[/tex]

City B has [tex]\dfrac{3}{5}[/tex] of the population of City A.

So the population density of City B would be

[tex]\dfrac{\dfrac{3}{5}\times 6000}{1.5^2}=1600\ \text{people per square mile}[/tex]

The population density of City B is [tex]1600\ \text{people per square mile}[/tex].

Write the equation in standard form.
1 + 4 = 3 (3x + 3)

Answers

Answer:

in fraction form it is -4/9 and in decimal form it is -0.4

Step-by-step explanation:

-9y=4
Hope this helps

2) Solve the system of equations using substitution.
2x -- 9y = 14
x = -6y +7

Answers

Answer:

x= 7, y=0 (7,0)

Step-by-step explanation:

x = 7 and y = 0 those are the answers

A jet travels 460 miles in 5 hours. At this rate, how far could the jet fly in 15 hours?

Answers

Answer:

1380 miles in 15 hours (92 mph).

Step-by-step explanation:

460/5 = 92.

92 mph.

92*15=1380

1380 miles in 15 hours

Answer:

1380 miles in 15 hours

Step-by-step explanation:

*Assuming the jet travel at a constant speed.

First, find the amount the jet flew in 1 hour. Divide 460 miles with 5 hours:

460/5 = 92

The jet travels 92 miles per hour.

Next, multiply 92 mph with 15 hours:

92 x 15 = 1380 miles

1380 miles in 15 hours is your answer.

Determine the domain of the following graph:

Answers

Answer:

Step-by-step explanation:

the curved lone starts at 0 and ends in 11

A rectangle prisms base is 8 feet long. It is 2 1/2 times taller than it is long and 1/2 wide as it is tall. What is the volume of the rectangular prism?

Answers

Answer:

1600 cubic feet

Step-by-step explanation:

8 x 2 1/2 = 8 x 2.5 = 20

20 divided by 1/2 = 10

8 x 10 x 20 = 1600

Match the following.

Answers

Answers:

PyramidRectangular PrismCylinderConeTriangular Prism

==============================================

Explanation:

The formula for the volume of a pyramid is (1/3)*B*h, where B is the area of the base. If we're dealing with a rectangular pyramid, like those found in Egypt, then the area of the base is B = length*width. The volume for a prism is found by multiplying length (L), width (W), and height (H). So V = LWH. Think of having a 2 by 3 rectangle of blocks. We would have 2*3 = 6 blocks in total. Then if we have 5 layers of these stacked then we have 2*3*5 = 6*5 = 30 blocks in total. This is one way to visualize how the volume formula works.To get the volume of a cylinder, we multiply the area of the base (pi*r^2) by the height (h). So that's where pi*r^2*h comes from.The volume of a cone is 1/3 that of a cylinder's volume. This is when the cone and cylinder have the same radius, and also the same height. It's not required that r = h.Since all of the other answer choices are used up, the only thing left is "triangular prism". It's strongly implied here that B is the area of the triangular base. Though the formula Bh applies to any prism and it doesn't have to be a triangular prism. Note how B = LW, so Bh is the same as LWH, meaning that a rectangular prism can use the Bh formula.

Help me with this!!!!

Answers

Yes it is congruent.
Because both have the same length

What are the coordinates of the point on the directed line segment from K (-5, -4) to L (5,1) that partitions the segment into a ratio of 3 to 2.

Answers

Answer:

i think its d

Step-by-step explanation:

If the x-value is multiplied by 3, what happens to y? The y-value is multiplied by _______

Answers

Answer:

Follow me please

Mark brainliest

If the x is multiply by 3 then Ithe y is multiple by6

Given the equation y = mx+q
Change the subject of the formula of
1.1.1 m

Answers

Answer:

m = [tex]\frac{y-q}{x}[/tex]

Step-by-step explanation:

Given

y = mx + q ( subtract q from both sides )

y - q = mx ( divide both sides by x )

[tex]\frac{y-q}{x}[/tex] = m

PLEASE HELP! I’m not sure if i’m right

Answers

Answer:

looks right

Step-by-step explanation:

Answer:

you are correct

Step-by-step explanation:

1- mass of earth is 1/95 of the mass of Saturn. if mass of earth is 5.97 x 10^24 kg.find mass of Saturn. show your all work out.

2- write 267000000 in standard form.

3- Maria, Carolina and Pedro receives $1600 from their grandfather in ratio 7:5:4. calculate share of each

Answers

Answer:

5.6715 * 10^26 kg

Step-by-step explanation:

Given that :

Mass of earth = 1/95 the mass of saturn

If Mass of earth = 5.97 x 10^24 kg

Let the mass of saturn = x

5.97 x 10^24 kg = 1/95 * x

5.97 x 10^24 kg = x / 95

x = 95 * 5.97 x 10^24 kg

x = 567.15 * 10^24

x = 5.6715 * 10^26 kg

Mass of saturn = 5.6715 * 10^26 kg

( 3 - 4i ) + ( 6 + 7i )

Answers

Answer:

9 + 3i

Step-by-step explanation:

( 3 - 4i ) + ( 6 + 7i )

We add like terms :)

the answer is 9 + 3i

Will mark brainliest.
What is pi?

Answers

Answer: 3.14159265358979.....

Step-by-step explanation:

Answer:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.

The probability of that nicky will pass his driving test is 3/7 what is the probability of him failing?

Answers

Answer:

4/7

Step-by-step explanation:

The probability of him failing is 4/7 if him passing is 3/7 and in total that completes it is 7/7 so in whole your answer would be 4/7

three consecutive multiples of 2 is 36 then the multiples are

Answers

Answer:

9, 12, 15

A multiple of 3 can be written 3n where n is a positive integer.

So 3 consecutive multiples of 3 can be written

3n,3n+3,3n+6

The sum of these is 36

3n+3n+3+3n+6=36

9n+9=36

Divide through by 9

n+1=4

n=3

If n=3 then 3n=9 and the three consecutive multiples of three are 9, 12 and 15 which do indeed total 36

Step-by-step explanation:

Hope it is helpful....

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