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
STALIN [3.7K]
3 years ago
13

Manuel bought a balloon (that is a perfect sphere) with a radius of 2 cm. He wanted his balloon to be bigger, so he blew 2 big b

reaths of air into the balloon. Each big breath increased the balloon's radius by 1 cm. Please help!!!!
Mathematics
2 answers:
Lilit [14]3 years ago
6 0

Answer:

I guess we want to evaluate how much the volume of the balloon changes in each blow.

The volume of a sphere can be written as:

v = (4/3)*pi*r^3

where pi = 3.1416 and r is the radius of the sphere.

we have that initially, the radius of the sphere is r = 2cm

then v0 = (4/3)*3.1416*(2cm)^3 = 33.5 cm^3

now, after one blow, the radius is 3 cm, so we have:

v1 = (4/3)*3.1416*(3cm)^3 = 113.1cm^3

this means that the change in volume is  

v1 - v0 = 97.6cm^3

and after the other blow, we have that the radius is 4cm:

v2 = (4/3)*3.1416*(4cm)^3 = 268.1cm^3

the change in the volume is:

v2 - v1 = 154.9 cm^3

So we can see that the change of 1cm in the radius has a bigger impact if the initial radius of the sphere is bigger.

horsena [70]3 years ago
5 0
What is the question asking?
You might be interested in
Kevin bicycles a total of 2,340 miles last year. On average, about how many miles did he bike each week? 195 45 44 46
svlad2 [7]

In order to find the average you have to add up all the data values and then find the sum of the data values.

195 + 45 + 44 + 46 = 330\\\frac{330}{4} = 82.5\\\\

So on average he ran about 82.5 miles.

7 0
3 years ago
(b) Eric removed 72 fish from his pond over a period of 9 days. He removed the same number of
Amanda [17]

Answer:

-8

Step-by-step explanation:

72 ÷ 9 = 8

The fish are being taken out, so negative.

I hope this helps!

pls ❤ and mark brainliest pls!

8 0
2 years ago
Raul picks 20 flowers from his mother's garden. One fourth of them are purple. How many of the flowers are purple?
steposvetlana [31]
25% were purple and 30 percent another color
8 0
3 years ago
Read 2 more answers
If 1/3 = 2 , 2/3 = ?
Andrei [34K]

Answer:

2/3 = 1.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
3 years ago
Other questions:
  • In one minute, Evan can do nine less than four times the number of push-ups that Lucy can do. if they did 61 push-ups did Evan d
    11·1 answer
  • How do you recognize an exponential situation? How do you recognize an exponential equation?
    13·1 answer
  • How do you write 2.305 as a fraction in simplest form
    9·1 answer
  • The graph represents function 1 and the equation represents function 2:
    5·1 answer
  • Which of the following will always determine exactly one triangle
    5·1 answer
  • Melinda is planning to attend a private university after she graduates from high school in 3 years. She is devising a plan to sa
    6·1 answer
  • Draw the line of reflection that reflects ABC onto AA'B'C'.
    9·1 answer
  • How many solutions does this system have?<br> 3<br> y = x-5<br> -3x+4y=-20
    6·1 answer
  • Chris received $50,000 from his grandparents as a graduation gift. So, he has decided to invest the money
    12·1 answer
  • Solve the area of a trapezoid formula for the variable h: A = 1/2h(b1 + b2)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!