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
nekit [7.7K]
3 years ago
7

What is x, if the volume of the cylinder is 768pi rcm3?

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=8\\ h=x\\ V=768\pi \end{cases}\implies 768\pi =\pi (8)^2(x)\implies 768\pi =64\pi x \\\\\\ \cfrac{768\pi }{64\pi }=x\implies 12=x

You might be interested in
5x+18/8 = x/4 <br> Solve for x
ollegr [7]

Answer: x= -9/19

Step-by-step explanation:

5x+18/8=x/4

5x+ 9/4=x/4

5x+9/4-9/4=x/4-9/4

5x= x-9/4

5x(4)=x-9/4(4)

20x=x-9

20x-x=x-9-x

19x=-9

19x/19=-9/19

x=-9/19

8 0
3 years ago
I'm so confused rn, please help a girl out
Svetach [21]
<h2>The test is worth 15 points.</h2><h3 /><h3>Double-check:</h3><h3>15 x 1.2 = 18</h3>
3 0
2 years ago
What is the answer for number 1
poizon [28]
R = -2 :) hope this helps
8 0
2 years ago
Read 2 more answers
Select the correct answer. Which point is a solution of x + 2y ≤ 4? A. (2, 4) B. (1, 1) C. (3, 5) D. (-1, 5)
stira [4]

Answer:

B

Step-by-step explanation:

Of you put the values of c and y from B in the equation, then the result is,

1 + 2 \times 1 \leqslant 4 \\ 1 + 2 \leqslant 4 \\ 3 \leqslant 4

here, 3 is less than 4, which is true.

But the result will come out as greater than 4 if you put other points in the equation, which is not true for the given condition.

6 0
2 years ago
Are these triangles congruent? If so, why?
N76 [4]
<h3>Yes the triangles are congruent by ASA axiom or congruency .</h3>

Because one side of triangle is equal and two angles are equal . So option 1 is your answer .

5 0
3 years ago
Other questions:
  • The Garcia’s bought a washing machine for $435 and a clothes dryer for $395 bath prices include tax to deliver these items the s
    12·1 answer
  • HELP!!!!!14. 4e2x – 3 = 12 solve for x leave explination will mark brainliest
    7·1 answer
  • Required
    6·1 answer
  • What is 2x + 2 when x = 0? A 0 B 2 C 20 D 22
    13·2 answers
  • What is -0.66666666666 as a fraction
    15·2 answers
  • 7(3+5) = 8 + ___<br><br> What number or expression could fill in the blank that would make this true
    11·2 answers
  • Coach Brown buys packs of Gummi Bears at $0.60 and resales them at $1.00. At what percent did he mark the candy up?
    15·1 answer
  • An investor has an account with stock from two different companies. Last year, his
    5·1 answer
  • Find the value of x in this case.
    7·1 answer
  • The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!