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
How many times do 7 go into4
Bond [772]
7 dosent go into 4 at all but 4 goes into 7 once
3 0
3 years ago
A pedestrian walks 7.4 kilometers west
attashe74 [19]

Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$

3 0
2 years ago
4+7x=-24 how do you solve this algebraic expression
Lady_Fox [76]

Answer:

In order to solve this algebraic expression, you need to get the variable x by itself

Step 1: subtract 4 from each side

4-4+7x=-24-4 (4-4=0, those cancel out) (-24-4=-28)

7x=-28

Step 2: divide both sides by 7

7x/7=-28/7 (7x/7=x) -28/7=-4)

Your final answer would be x=-4

Hope this helps ;)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!! Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B?
Masja [62]

Answer:

1:4

Step-by-step explanation:

Find the ratio of corresponding sides

\frac{10}{40}=\frac{1}{4}\\\\\\\frac{11}{44}=\frac{1}{4}\\\\\\\frac{18}{72}=\frac{1}{4}\\\\\

Scale factor:

1:4

7 0
3 years ago
Which graph is the graph of f(x) = x-1/x+2?
Nina [5.8K]

Answer:

top right

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • (5n−5)(2+2n) standard form
    9·2 answers
  • 9/4 x = 8 1/2 what is x
    7·1 answer
  • What is the slope for (0,4), (1,2), (2,0) and (3,-2)
    13·1 answer
  • Consider the random permutations of [1..6]. Let A be the event that the number in the first position of such a random permutatio
    7·1 answer
  • Please help me !!!!!!
    12·1 answer
  • ∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?
    12·1 answer
  • If Benito is selecting samples of five values from the table, which row will result in the greatest mean? Population Data Row 1
    14·2 answers
  • Help me fast pleas- <br><br> help meeeeeeeeeeeeee
    15·1 answer
  • 3 siblings reported how long they worked out at the gym. Write the names of the siblings from shortest to longest time.
    6·1 answer
  • ∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!