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
ioda
3 years ago
13

Which expression can be used to find the volume of the sphere? diameter is 10 inches

Mathematics
2 answers:
8090 [49]3 years ago
5 0

Answer:

\large\boxed{V=\dfrac{4}{3}\pi R^3=\dfrac{D^3}{6}\pi}\\\\\boxed{V=\dfrac{500\pi}{3}\ in^3\approx523.33\ in^3}

Step-by-step explanation:

\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\R-radius\\\\\text{A diameter}\ D=2R\Rightarrow R=\dfrac{D}{2}.\\\\\text{Therefore}\\\\V=\dfrac{4}{3}\pi\left(\dfrac{D}{2}\right)^3=\dfrac{4}{3}\pi\left(\dfrac{D^3}{8}\right)=\dfrac{D^3}{6}\pi

\text{We have the dimater}\ D=10in.\ \text{Substitute:}\\\\V=\dfrac{10^3}{6}\pi=\dfrac{1000}{6}\pi=\dfrac{500\pi}{3}\ in^3

RSB [31]3 years ago
4 0

For this case we have that by definition, the volume of a sphere is given by:

V = \frac {4} {3} \pi * r ^ 3

Where:

r: It is the radius of the sphere

We are told as data that the diameter of the sphere is 10in, so the radius is 5in:

V = \frac {4} {3} \pi * 5 ^ 3\\V = \frac {4} {3} \pi * 125\\V = \frac {500} {3} \pi\\V = 523.33in ^ 3

Answer:

V = \frac {4} {3} \pi * 5 ^ 3\\V = \frac {4} {3} \pi * 125\\V = \frac {500} {3} \pi

Any of the three given expressions can be used to find the volume of the sphere.

You might be interested in
To make iced tea, 5 tea bags can be added to 1 gallon of water. Find how many bags can be used for 4 gallons of water
Nata [24]

Answer:

20 tea bags

Step-by-step explanation:

if 5 is 1 gallon then you do 5x4=20

4 0
3 years ago
When 12 is added to a number the result is 32 less than 3 times the number.
sdas [7]


Let the number = x

12 + x = 3x - 32

x = 3x - 44 Subtract 12 from both sides

-2x = -44 Subtract 3x from both sides

x = 22 Divide by -2

4 0
3 years ago
Read 2 more answers
Antoine wants to get a subscription to a local library. There are two libraries, each of which charges a monthly subscription fr
frozen [14]

Answer:

the first one is B and the second one is A

Step-by-step explanation:

I guessed and I got it right

5 0
3 years ago
Read 2 more answers
I need help with this uhh points...? <br><br>help​
navik [9.2K]

Answer:

D

Step-by-step explanation:

3 and 1/4 = (3*4 + 1)/4 = 13/4. 3*(13/4) = 39/4 = 9 and 3/4 so it is D

Hope this helps!

5 0
3 years ago
Need helpp fastt plss will give brainliest to who is correct plss helpp
kodGreya [7K]

Answer:

1/4 times 3.

1/4 of 3.

number of fourths in 3.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Bill is making a garden that is twice as long as it is wide.
    10·1 answer
  • The graph of f(c) =|x| is reflected across the y-axis and translated to the left 5units which statement about the domain and ran
    12·1 answer
  • PLS HELP!!! I WILL MARK BRAINLIEST!!
    12·1 answer
  • What is the difference of the polynomials? (x^4+x^3+x^2+x)-(x^4-x^3+x^2-x) (A 2x^2 (B 2x^3+2x (C x^6+x^2 (D 2x^6+2x^2
    14·1 answer
  • What is the length of CF? ASAP please!!!
    10·1 answer
  • Help pleaseeeeee thank youuu
    15·2 answers
  • FInd 2A-B
    10·1 answer
  • What is the solution to the given inequality?
    14·1 answer
  • Solve for b.<br><br> problem: a=3(B+C)<br><br> 1) B=A-C/3<br> 2) B=3A-C/3<br> 3) B=A-3C/3
    12·1 answer
  • How do I solve this equation and check all the solutions?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!