1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dennis_Churaev [7]
3 years ago
8

A spherical balloon has a 34-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?
Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

a. 20,579.52 cubic inches

b.10,289.76  cubic inches.

c. 13.49 inches

Step-by-step explanation:

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

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

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

20,579.52/2 = 10,289.76  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

You might be interested in
What equation is parallel to the line 3x+y=5
Alex_Xolod [135]

Answer:

Any equation with the slope -3 and a y intercept that does not equal 5

Step-by-step explanation:

a line is parallel if the line have the same slope, and different y intercepts

3x+y=5  

in slope intercept form is

y=-3x+5

slope : -3

y intercept 5

3 0
3 years ago
There are 16 marbles in a bag 12 of them are blue and 4 are yellow. what is the probability of picking a blue marble then a yell
Art [367]

Answer:

1/5

Step-by-step explanation:

the prob that you will pick a blue marble would be 12/16, easy.

then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.

3 0
2 years ago
How to solve complex number problem is x square + 2x +65=0
ad-work [718]
Ill teach you how to do some of these things so you won't be having to use this site 
7 0
3 years ago
Explain how you can how do you rename 5400 as hundreds
umka2103 [35]
I think it is fifty-four hundred
8 0
3 years ago
Barry has 18 more marbles then Heidi. If Barry has 92 marbles, write and solve an equation to determine the number of marbles He
Effectus [21]
92-18=74


Heidi has 74 marbles.

Self Check: 74+18=92
7 0
3 years ago
Read 2 more answers
Other questions:
  • Factorize 216x^3 + 64y^3
    12·1 answer
  • Z +6 divided by 1/3 = 4
    15·1 answer
  • Help please? Anyone
    12·1 answer
  • What is 1.9384 to the nearest tenth, hundreth, and thousandth?
    11·1 answer
  • What is the value of x?
    11·1 answer
  • If 16p= 56, what is the value of p
    6·1 answer
  • Help pleaseeeeeeeeee
    13·1 answer
  • Let A = {10, 20, 30, 40, 50, 60} and B = {10, 40, 60}. What is A ∩ B?
    5·2 answers
  • The stem-and-leaf plot below displays the ages of 30 attorneys at a small law firm.
    7·1 answer
  • If Ashton drives 228 miles in 6 hours, what is his unit rate?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!