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
is a coffee grinder can grind 1.4 pounds of coffee in one minute which model best represents the number of pounds it can grind i
Vadim26 [7]
2.8 pounds of coffees
4 0
3 years ago
This is easy so why not: If you have four plates and one falls and breaks how many do you have left
Reil [10]

Answer:

5r7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury and the stan
liq [111]

Answer:

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 120, \sigma = 5.6

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg

This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So

X = 121.4

Z = \frac{X - \mu}{\sigma}

Z = \frac{121.4 - 120}{5.6}

Z = 0.25

Z = 0.25 has a pvalue of 0.5987

X = 119.4

Z = \frac{X - \mu}{\sigma}

Z = \frac{119.4 - 120}{5.6}

Z = -0.11

Z = -0.11 has a pvalue of 0.4562

0.5987 - 0.4562 = 0.1425

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

8 0
2 years ago
What is 0.04 1/10 of
Marat540 [252]
0.04 is 1/10 of 0.4

0.4 x 0.10 = 0.04

hope this helps
3 0
3 years ago
Read 2 more answers
What’s the common denominator for 3/7 and 1/2? Sorry but I don’t know
shepuryov [24]

Answer:

14

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • !!!!!!!!!!!!!!!!!PLS HELP!!!!!!!!!!!!!!! ASAP 15 Points
    5·1 answer
  • This is Slope-Intercept Form! How do I write the slope intercept form for this Graph???
    9·2 answers
  • you find a triangle that has an area of 10 sq ft. the height of the triangle is 10 feet. what is the length of the base of the t
    7·1 answer
  • Francis is 9 years older than Vincent. Francis is 17 years old. Let v represent how old Vincent is.
    10·2 answers
  • How do dhhdhdbsjjajsd
    13·2 answers
  • I need answer rn, Which is the best estimate
    5·1 answer
  • Write a SIMPLIFIED inequality for x that would give a rectangle with a length of 4 meters and a width of x+7 meters an area of m
    11·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    12·2 answers
  • Ariana is shopping for toilet paper, and she prefers to get the best unit price she can. At the store, brand A is priced at $49
    11·1 answer
  • What is the solution set of the inequality below?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!