A spherical balloon has a 16-in diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere.
a. Find the volume of the fully-inflated balloon.
b. Find the volume of the half-inflated balloon
c. What is the radius of the half-inflated balloon?

Answers

Answer 1

Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches


Related Questions

Samir also picks pumpkins from his garden. He picked 6 7/10 kg, but 2.6 of pumpkins were spoiled and could not be used for decoration. How many kilograms of pumpkins were not spoiled? Write an equation that shows how you reached your answer.

Answers

Answer:

6.7kg - 2.6kg = 4.1kg

Step-by-step explanation:

6 7/10 is equal to 6.7. If we have 6.7kg of pumpkins, but we can't use 2.6kg, then we subtract to find the amount that we can use.

Which persons dues are cheaper per month? explain. (please help)​

Answers

Answer:

Claire

Step-by-step explanation:

Which fractions are equivalent to 5/8?

Select each correct answer.


20/32

25/64

10/16

50/80

10/13

Answers

10/16 and 20/32! hope this helps!!

1. Abe and Malik both stayed after school on
Wednesday to practice their instruments. Abe
practiced for 30 minutes. Malik practiced 10
minutes longer than Abe. Select all the ratios
that compare Abe's practice time to Malik's practice time

Answers

Answer:

Step-by-step explanation:

If Abe practiced 30 minutes,

Malik practiced 40 minutes.

It's 30:40 minutes;

3:4

are these lines parallel or perpendicular? 2y=-3x=5 and y=3/2-6

Answers

Answer:

perpendicular because they have a positive and negative slope meaning on a graph they would be crossing each other.

What is the area of the figure?
A) 18 yd2
B) 54 yd2
C) 72 yd2
D) 90 yd2

Answers

Answer:

72 yd²

Step-by-step explanation:

area of this figure = area of 1st rectangle + area of 2nd rectangle

= l×b + L×B

= 6 × 5 + 14 × 3

=30 + 42

= 72 yd²

Answer:

the answer c 72 yd2

Step-by-step explanation:

Find the area of the figure

Answers

answer:

178.5398mm²

explanation:

attached

--

if this helped, please consider giving brainliest !

please add these number togeather

Answers

Answer:

314.00+200.96+113.04+78.50+63.59+38.47+28.26+3.14+.79

=840.75

One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle

Answers

Answer:

Length = 8+7 = 15

Width = 8

Step-by-step explanation

                      Length = x+7 , x+4

Width = x ,x+2

(x+7) x = (x+4)( x+2)

expand and simplify x =8

There are 5 cups of oatmeal in a container stella eats 1/3 of oatmeal every day for breakfast in how many days will stella finish all the oatmeal in the container

Answers

Answer:

15 days

Step-by-step explanation:

if she eats 1/3 cup of outmeal each day then in 3days she will have eaten 1 cup so to get to 2cups he will have to eat for 3 more days so it goes 3 days by 3 days this will be easy to do on a number line but you could also just multiplying the 3days times the 5 cups because thats how many cups you want to get to finish so it will be 15 the 15 days it took me time to understand ‍ hope this was helpful

The number of days is 15 days.

What is unit rate?

A rate is a ratio that compares two quantities of DIFFERENT. kinds of UNITS. A unit rate has a denominator of 1 unit when the rate is written as a fraction. To write a rate as a unit rate: divide the numerator and the denominator of the rate by the denominator.

here, we have,

to determine the number of days

From the question, we have the following parameters that can be used in our computation:

Size = 5 cups

Rate = 1/3 cup per day

The question illustrates unit rates

A unit rate is a rate in which the denominator of a ratio is 1 unit.

In other words, it is the amount of something per one unit of another thing.

Using the above as a guide, we have the following:

Number of days = 5/(1/3)

Evaluate the quotient

Number of days = 15/1 days

This gives

Number of days = 15 days

Hence, the number of days is 15

Read more about unit rates at

brainly.com/question/26059245

#SPJ2

16. An online magazine charges $45,000 for a 3-month contract for a banner ad
displayed above its weekly feature article. The magazine has 120,000
subscribers and gets 195,000 hits per day. What is the banner's cost per
subscriber if a banner ad was taken for a year?

Answers

Answer:

$1.50

Step-by-step explanation:

There are 4 3-month periods in a year.

$45,000 per 3 months period × 4 = $180,000 cost

$180,000 ÷ 120,000 subscribers = $1.50

The banner ad costs about $1.50 per subscriber

A stone is projected vertically upward from a platform that is 18ft high at a rate of 114ft/sec. Use h=−16t^2+v0t+h0.

Answers

Using the vertex of the quadratic equation, it is found that the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

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

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, considering initial velocity of v(0) = 114 and an initial height of h(0) = 18, the equation is:

h(t) = -16t² + 114t + 18.

Which is a quadratic equation with coefficients a = -16, b = 114, c = 18.

Hence:

[tex]x_v = -\frac{114}{2(-16)} = 3.5625[/tex]

[tex]y_v = -\frac{114^2 - 4(-16)(18)}{4(-16)} = 221.0625[/tex]

Hence, the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Identify the indicated angles as Adjacent, vertical, linear, or complimentary

Answers

Angles A and B are vertical angles
This is an vertical angle, because the angles are opposite eachother

Which of the following rational functions is graphed below

Answers

Answer:

option B

Step-by-step explanation:

[tex]f(x) = \frac{x + 2}{x + 1} [/tex]

help pls quick i need the answer pls

Answers

Answer:

multicultural

Step-by-step explanation:

Answer:

A. Multicultural

Step-by-step explanation:

It shows later in the sentence that they ate Thai noodles and Egyptian falafel those come from different cultures so it must be multicultural

Can some help me I will mark u brilliant

Answers

Answer:

The answer is C

Step-by-step explanation:

The formula of a circle is pie radius ^2. Its asking for the surface area. So I got C because you do pie 18^2 and gets you approximately 1017. Although A also says 18 as the radius, it says meters. After you solve a surface area problem you do square meters or square units. For volume you have to use   units cubed or units ^3. Make sure to always do this or your teacher might count you as wrong.

Answer:

Let's first try to find the radius before finding the diameter because when you find the radius, you double it to get the diameter.

To find the radius, use the area for a circle formula and plug in the values you know so far, so the formula is;

A = π[tex]r^{2}[/tex]

What we know:

1,017 is the area.

Plug that area in our equation:-

A = π[tex]r^{2}[/tex]

1,017 = 3.14[tex]r^{2}[/tex]

Solve for r;

÷3.14  ÷3.14

324(approximate) = [tex]r^{2}[/tex]

√324 = r

18 = r, the radius is around 18 square meters (do not mistake the unit for some other unit).

Therefore, your answer is C.Another alternative way;

Plug in your options' numbers into the equation;

A = π[tex]r^{2}[/tex]

And by looking at the options, we can see the only number here being used is 18, so we use 18 in the formula for the area of a circle to check if it'll result in 1,017 as the area.

Also: Notice if it says diameter or radius when using this solution, you are looking for the radius first.

Find the length of the midsegment of the trapezoid.

Answers

Answer:

MN=66.5

Step-by-step explanation:

Add 57 and 76, then divide by 2.

Please help me!
I’ll give 20 points

Answers

Answer:

Both answer is C

Step-by-step explanation:

30:20

3:2

Thus, (24/3)×2

=16 inch

Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure

What’s value of x in 12x-11=2x+5

Answers

Answer:

x = 1.6 or [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

12x - 11 = 2x + 5

Add 11 to both sides,

12x - 11 + 11 = 2x + 5 + 11

12x = 2x + 16

Subtract 2x from both sides,

12x -2x = 2x - 2x + 16

10x = 16

Divide both sides by the same factor (in this cas the factor is 10),

[tex]\frac{10x}{10} =\frac{16}{10}[/tex]

[tex]x=\frac{8}{5}[/tex]

x = 1.6 or [tex]\frac{8}{5}[/tex]

help me pls guys guys​

Answers

Answer:

1.TRUE

2.TRUE

3.TRUE

4.TRUE

5.TRUE

Step-by-step explanation:

THATS MY ANSWER ON MY MODULES

hope it helps as

Given f(x)=5(x^2+1)+16, what is the value of f(11)?

Answers

Answer:

The value of f(11) is 9.

The function of a given term is a form of an expression where element of the domain consists of a unique identity and each input value of a function is allocated to only one output value.

From the parameters given;

we are to replace x with 11 wherever we see x

f(11) = 9

Step-by-step explanation:

What is the volume of a cube with an edge length of 7.3 cm?
Enter your answer in the box

Answers

Answer:

389.017 cm³

Step-by-step explanation:

Given:

Side length of cube = 7.3 cm

The volume of a cube is the cube of the side length.

V = (side length)³

Substitute the side length of the cube to determine the volume of the cube.

⇒ V = (s)³

⇒ V = (7.3)³

V = (7.3)(7.3)(7.3) = 389.017 cm³

Answer: 389.017

Step-by-step explanation: I just took the test.

Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 18-pack of juice bottles. The total cost before tax was $26.61. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs.

Equation:
Answer: x=

Answers

Answer:

x= (26.61-3.39)/18

Step-by-step explanation:

Write (b^3)^2 without exponents

Answers

Answer:

(b)(b)(b)(b)(b)(b)

Step-by-step explanation:

[tex](b^3)^2=b^6[/tex]

(b)(b)(b)(b)(b)(b)

Answer:

Step-by-step explanation:

(b^3)^2

= b^(3*2)

= b^6

= b*b*b*b*b*b.

Read the sentence.

When my cousin Jason suddenly showed up out of the blue, it was an unexpected surprise because we had no idea that he was coming to the special event that our family had planned ahead of time.

Which revision most effectively shortens the sentence to make it less repetitive and more precise?

Drag the revision into the box.

Answers

The first sentence is correct.

Answer: We were surprised when my cousin jason attended our family reunion.

Step-by-step explanation: I took the k12 quiz and got it right.

A rectangular prism is a

Choose...
two-dimensional, three dimensional or one dimensional.

Answers

Answer: Three dimensional

Step-by-step explanation:

    A rectangular prism is a three-dimensional shape.

[] A one-dimensional shape is a line

[] A two-dimensional shape is a rectangle, circle, etc

[] This means that a rectangular prism is a three-dimensional shape

Question -:

A rectangular prism is a

Two dimensionalThree dimensional Four dimensional Explanation -:

A rectangular prism is three dimensional.

One dimensional -:

Lines that have length in at least one direction.

Two dimensional -:

Shapes that are flat and have two dimensions i.e. length and breadth

Three dimensional -:

A solid figure that has three dimensions i.e. length, breadth and height.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny \rm{spbankingandsscseries}[/tex]

[tex] \rule{75mm}{6pt}[/tex]

how do you do Mean Absolute Deviation with 35 42,41,32,30?

Answers

Answer:

The numbers added up together is 180, and divide 180 by 5 is 36.

1,6,5,4,6=22.

22/5=4.4

Step-by-step explanation:

You can look it online but as quoted,

"Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth." -IXL


Solve the following system of equations algebraically:
x + 5y = -19
3x - y=-9

Answers

Answer:

x= -4, y=-3

Step-by-step explanation:

solving the two equations simultaneously you'll get x to be-4 and y to be -3

x+ 5y= -19

3x-y=-9

multiplying the second equation by5

15x-5y=-45

adding eqn 1 and eqn 3

16x= -64

x= -4

substituting into eqn 2

3(-4)-y= -9

-y= -9+12

-y= 3

y=-3

I hope I can help you:)

the Area of the circles

Answers

Answer:

254.4 in²

Step-by-step explanation:

Area of a circle is given by the formula:

[tex]\pi r^{2}[/tex]

Our radius is 9 so we substitute this into the equation:

π(9)² = 81π

81π = 254.4 in²

Answer:

254 cm^2.

Explain:

The area of a circle is given by pi r squared. Pi has a constant value of 3.14. And the radius of the circle is 9 cm. The area equals pi R² equals 3.14 × 9² CM squared. 3.14 × 81 = 2.54.34cm^2 equals 254cm^2.

What is cosK?
(25)/(7)
(25)/(24)
(7)/(25)
(24)/(25)

Answers

Step-by-step explanation:

7/25

we need to remember this triangle with 90° 7, 24, 25

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