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
s344n2d4d5 [400]
4 years ago
13

What is the volume of the cylinder shown below?

Mathematics
2 answers:
garik1379 [7]4 years ago
6 0

Answer:

Option A is correct

1008 \pi \text{units}^3

Step-by-step explanation:

Volume of cylinder(V) is given by:

V = \pi r^2h

where,

r is the radius of the cylinder and h is the height of the cylinder respectively.

As per the statement:

Radius of the cylinder(r) = 12 unit and height of the cylinder(h) = 7 units

Substitute the given values in [1] we have;

V = \pi \cdot 12^2 \cdot 7

⇒V = \pi \cdot 144 \cdot 7 = 1008 \pi cubic units.

Therefore, the volume of the cylinder is, 1008 \pi \text{units}^3

Fofino [41]4 years ago
5 0
The volume:
Pi x r^2 x h

V = pi x 12^2 x 7
V = 1008pi units^3 
The answer would be a
hope it helps. 
You might be interested in
Use the given information to find the exact value of the trigonometric function
eimsori [14]
\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}

Half Angle Formula

\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\  \\  \end{gathered}

Answer:

\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}

Checking:

\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{  (3rd quadrant)} \end{gathered}

Also,

\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}

The answer is none of the choices

7 0
1 year ago
BLANK + 308 + -126 = 450
fenix001 [56]

Answer:

268

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How to expand this logarithm?
Zarrin [17]
There is a division symbol, division is subtracted. Are you sure you have the problem stated clearly?
<span>ln( \frac{-5m-3}{ \sqrt{-4m-7} } )\\  \\ ln(-5m-3) - ln( (-4m-7)^{1/2} ) \\ \\ Power Rule  \\  \\ ln(-5m-3) -  \frac{1}{2} ln(-4m-7)

</span>
5 0
3 years ago
Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

4 0
3 years ago
(a) Approximate the decimal equivalent of each number to the nearest tenth.
storchak [24]

Answer:

2,3    3    5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the product 6,372×75
    10·2 answers
  • Rectangle ABCD is congruent to rectangle .
    9·2 answers
  • Resonance is used in what musical instrument?
    13·2 answers
  • What properties of equality do you need to use to solve the equation 7.8x- 6.9 =55.5
    8·1 answer
  • Sirloin steak costs $3.49 per pound. How much will 3.5 pounds cost?
    13·2 answers
  • The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaini
    12·1 answer
  • 3n^2=6-17n I need Vertex form please.
    9·1 answer
  • If cos theta + sin theta = root 2 cos thetha prove that cos theta - sin theta = root 2 sin theta
    7·1 answer
  • A family of 11 went to a local
    6·1 answer
  • State the leading coefficient of -7x+10x^3-9x^5+3x^2+3?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!