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
alexira [117]
3 years ago
5

If a sphere’s volume is doubled, what is the corresponding change in its radius?

Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0
The answer is the radius is increased ∛2 (≈ 1.26) times.

The sphere's volume formula is:
V = 4/3 π r³
where:
V - the sphere's volume,
r - radius of the sphere.

If sphere's volume is doubled, we have:
V₁ = 4/3 π r₁<span>³
We need to know what is the ratio of </span>r₁ and r.<span>

V</span>₁ = 2 × V = 2 × 4/3 π r³
⇒ 2 × 4/3 π r³ = 4/3 π r₁<span>³
</span>We can remove the same parts of the left and right sides of the equation:
2 × r³ = r₁<span>³
</span>r₁ = ∛(<span>2 × r³)
</span>r₁ = ∛2 × ∛<span>r³
</span>r₁ =∛2 × r
r₁ ≈ 1.26 <span>r
</span>Or: r₁/r = <span>1.26
</span>
Therefore, the radius is increased ∛2 (≈ 1.26) times.

You might be interested in
Answer for brainliest what is the volume
Rom4ik [11]

Answer:

50.24

Step-by-step explanation:

You will do

(area of a circle) x (hight)

Area of a circle = A

lets say 3.14 is pi

A = 3.14 x 2^2

A = 3.14 x 4

A = 12.56

Now

V = 12.56 x 4

V = 50.24

4 0
2 years ago
A local hamburger shop sold a combined total of 559 hamburgers and cheeseburgers on Saturday. There were 59 more cheeseburgers s
tangare [24]
Let H be hamburger and C be chesseburger.

H+C=559
H+59=C

H+(H+59)=559
2H+59+559

2H=559-59
2H=500

H=500/2
H=250

250 hamburgers were sold on Saturday.
5 0
4 years ago
Read 2 more answers
Ask if blurry. I really need help please
Whitepunk [10]

Answer:

A linear function is a polynomial function in which the variable x has degree at most one: {displaystyle f (x)=ax+b}. Such a function is called linear because its graph, the set of all points {displaystyle (x,f (x))} in the Cartesian plane, is a line.

Step-by-step explanation:

not sure if you wanted to know what it was.. ಠ_ಠ

4 0
3 years ago
I need help plz, only if you now the answer
solniwko [45]

Answer:

{-2, 1, 2}

Step-by-step explanation:

F(x) = x³ - x² - 4x + 4 is factorable as follows:

F(x) = x²(x - 1) - 4(x - 1).  (x - 1) is a common factor.  Factor it out:

F(x) = (x - 1)(x² - 4)

x² - 4 can be factored further:

F(x) = (x - 1)(x - 2)(x + 2)

The possible roots of F(x) are {-2, 1, 2}.

6 0
3 years ago
Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 200 cubic centimeters of liquid. the length
xxTIMURxx [149]
Volume = length * width * height = lwh (measured in cubic units)
so 2000 cm^3 = lwh
we know that l = 4w so sub that into the equation
2000 = (4w)*w*h
2000 = 4w^2*h

You didn't include the rest of the question so this is as far as i can go.
8 0
4 years ago
Other questions:
  • Bob is training for a race. Bob ran 14.6 miles away from his home. Then bob ran 9.8 miles toward his home. Finally bob ran 5.3 m
    13·1 answer
  • How would I figure out the answer of my assignment
    11·1 answer
  • What’s the ratio of 42¢ to $1.25? (Change dollars to cents)
    15·1 answer
  • Need help with this math question. I have tried my best to solve it but I dont really know.
    10·2 answers
  • Just How? (2a^2 c^4) ^-5 (c^-1 a^7)^6
    15·2 answers
  • If the weight of the package is multiplied by 3/7 the result is 24. find the weight of the package
    7·1 answer
  • Which of the following is equal to
    14·1 answer
  • What’s is the numbers of real solutions ?
    6·2 answers
  • A jet ski rental company charges h dollars for the first hour its jet skis are rented and k
    6·1 answer
  • Pls help will give brainliest
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!