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
alukav5142 [94]
3 years ago
7

A spherical hot air balloon has a diameter of 55 feet when the balloon is inflated the radius increases at a rate of 1.5 feet pe

r minute. approximately how long will it take to inflate a balloon 2/3 of its maximum volume? use. 3.14 as pie
​
Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Answer: 46.90mins

Step-by-step explanation:

The given data:

The diameter of the balloon = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.

Solution:

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon

= 4/3 × 3.14 × 55³

= 696556.67 ft³

When the volume 2/3 the maximum volume

= 2/3 × 696556.67 ft³

= 464371.11 ft³

The radius, r₂ at the point is

= 4/3·π·r₂³

= 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4

= 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the

above length

Time taken for the radius to increase the length.

= is 70.369 ft/(1.5 ft/min)

= 46.90 minutes

46.90mins is the time taken to inflate the balloon.

You might be interested in
Identify the terms, like terms, coefficients, and constants in each expression.
Veronika [31]

Answer:

20. -2n-1

21. 4d-2

22. 14x+4

23. 4d+2

24. -6r-5

Step-by-step explanation:

7 0
2 years ago
Plz help ill give brainliest
horrorfan [7]

Answer:

Step-by-step explanation:

Cone

Givens

r = 1.5 inches

h = 4 inches

Formula

V = 1/3 pi r^2 h

V = 1/3 3.14 * 1.5^2 * 4

V = 1/3* 3.14 * 2.25 * 4

V = 9.42

Semi sphere

Givens

r = 1.5

Formula

V = 2/3 * pi * r^3

Solution

V = 2/3 * 3.14 * 1.^3

V = 7.065

Total

V = 9.42 + 7.065

V = 16.485

Rounded to the nearest 1/100

V = 16.49

Answer

First left column = 0

Next left column= 1

Tens column          6

Then the decimal  .

Next column          4               (Tens column)

Hundredths           9

8 0
3 years ago
A triangle has sides with lengths of 4 inches, 14 inches, and 17 inches. Is it a right triangle?
irga5000 [103]
Yes it is because 2 sides would be the legs while 1 side is the hyptonuese so in this case 4 is a leg and 14 and 17 is the hyptonuese
5 0
3 years ago
Suppose that the function​
Dafna11 [192]

Answer:

<em>(</em><em>f-g</em><em>)</em><em>(</em><em>x</em><em>)</em><em>=</em><em> </em><em>-3x</em><em>^</em><em>3</em><em> </em><em>+</em><em> </em><em>x</em><em>^</em><em>2</em><em> </em><em>+</em><em> </em><em>6x</em>

<em>(</em><em>f</em><em>+</em><em>g</em><em>)</em><em>(</em><em>×</em><em>)</em><em>=</em><em> </em><em>3x</em><em>^</em><em>3</em><em> </em><em>+</em><em> </em><em>x</em><em>^</em><em>2</em><em> </em><em>+</em><em> </em><em>6x</em>

<em>(</em><em>f</em><em>•</em><em>g</em><em>)</em><em>(</em><em>2</em><em>)</em><em>=</em><em> </em><em>6x</em><em>^</em><em>3</em><em> </em><em>+</em><em> </em><em>36x</em><em>^</em><em>3</em>

Step-by-step explanation:

I hope that helps

5 0
3 years ago
Karla has $4.60 in nickles and quarters . she has a total of 36 coins. how many nickels does she have
butalik [34]
There are 22 nickels.

8 0
3 years ago
Other questions:
  • What is 9-4(2x-1)=45?
    14·1 answer
  • Write the equation y= x^2-6x+16 in vertex form
    6·1 answer
  • Massachusetts has a 9% sales tax. Timothy bought a Toro lawn mower and paid $36 sales tax. What was the cost of the lawn mower b
    10·1 answer
  • Ok I NEED help on 3 pls
    11·1 answer
  • 4 game dice have been rolled out. Find the probability that all of the same points will drop.
    8·2 answers
  • When you multiply a positive (+) by a positive (+) your answer is going to
    5·1 answer
  • Plz help due tomorrow
    13·2 answers
  • Val is going to plant b vegetable seeds in one garden and 3b + 10 vegetable seeds in another. How
    8·1 answer
  • Find the mean of the following numbers:<br> 12<br> 1<br> 10<br> 9<br> 3<br> 4<br> 9 <br> 7<br> 9
    14·1 answer
  • Please hurry its due in 5 mins
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!