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
defon
3 years ago
9

What is the volume of a cone when the radius is 6 and the height is 13

Mathematics
1 answer:
lidiya [134]3 years ago
6 0

Answer:

<h2>489.84 units³</h2>

Step-by-step explanation:

Given,

Radius ( r ) = 6

Height ( h ) = 13

Volume of cone = ?

Now, Let's find the volume of cone:

= \pi \:  {r}^{2}  \frac{h}{3}

plug the values

= 3.14 \times  {6}^{2}  \times  \frac{13}{3}

Evaluate the power

= 3.14 \times 36 \times  \frac{13}{3}

Calculate

489.84 units³

Hope this helps..

Best regards!!

You might be interested in
Solve 73 make sure to also define the limits in the parts a and b
Aleks04 [339]

73.

f(x)=\frac{3x^4+3x^3-36x^2}{x^4-25x^2+144}

a)

\lim_{x\to\infty}f(x)=\lim_{x\to\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\cdot\frac{1}{2}=3

b)

Since we can't divide by zero, we need to find when:

x^4-2x^2+144=0

But before, we can factor the numerator and the denominator:

\begin{gathered} \frac{3x^2(x^2+x-12)}{x^4-25x^2+144}=\frac{3x^2((x+4)(x-3))}{(x-3)(x-3)(x+4)(x+4)} \\ so: \\ \frac{3x^2}{(x+3)(x-4)} \end{gathered}

Now, we can conclude that the vertical asymptotes are located at:

\begin{gathered} (x+3)(x-4)=0 \\ so: \\ x=-3 \\ x=4 \end{gathered}

so, for x = -3:

\lim_{x\to-3^-}f(x)=\lim_{x\to-3^-}-\frac{162}{x^4-25x^2+144}=-162(-\infty)=\infty\lim_{x\to-3^+}f(x)=\lim_{x\to-3^+}-\frac{162}{x^4-25x^2+144}=-162(\infty)=-\infty

For x = 4:

\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty

4 0
1 year ago
Determine the possible rational zeros of this polynomial function using the rational zeros theorem:
sleet_krkn [62]

Answer:

See answer below

Step-by-step explanation:

The possible zeroes are p/q where p is factors of the constant and q is factors of the coefficient of the largest degree.

This means possible zeroes are ±15/4, ±5/4, ±3/4, ±1/4, ±15/2, ±5/2, ±3/2, ±1/2, ±15, ±5, ±3, ±1.

3 0
3 years ago
Amelia machine changes one red token into three white tokens and one white token into two red tokens. amelia has three red token
eimsori [14]
0...........:::::::hedges
7 0
3 years ago
Please help? &lt;3 thank you
Effectus [21]

Answer:

asking 10 students wearing football jerseys each day for a week

Step-by-step explanation:

if students come to school wearing a football jersey then more than likely their favorite sport is football which means that your results will not be as accurate as the others.

3 0
3 years ago
Read 2 more answers
Need some help asap...............
Agata [3.3K]

Answer:

<h2>39.94 cm</h2>

Solution,

ABCD is a rectangle.

Given,

AC= 64 cm

AB= 50 cm

To find: Value of other side of TV

since, ABCD is a rectangle

<B= 90°

<h3>Using Pythagorean theorem:</h3>

{ac}^{2}  =  {ab}^{2}  +  {bc}^{2}  \\  {64}^{2}  =  {50}^{2}  +  {bc}^{2}  \\  {bc}^{2}  =  {64}^{2}  -  {50}^{2}  \\  {bc}^{2}  = 4096 - 2500 \\  {bc}^{2}  = 1596 \\ bc =  \sqrt{1596}  \\ bc = 39.94 \: cm

Hope this helps...

Good luck on your assignment..

3 0
3 years ago
Other questions:
  • A rectangular table is positioned in a 10-foot by 10-foot room as shown.
    10·2 answers
  • Create an example of a linear system that would best be solved using the substitution method. Explain your reasoning.
    7·1 answer
  • How do I know if a relation is a function?
    15·1 answer
  • The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to s
    15·1 answer
  • HELLO!! I REALLY NEED SOME HELP WOTH THIS QUESTION, ITS DUE SOON AND IF YOU CAN SHOW WORK THAT WOULD REALLY HELP THX!!
    9·2 answers
  • The sum of 48 and itself, its half and half of the half is added to 18.​
    10·1 answer
  • What is the equation for this angle?
    11·2 answers
  • 16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest
    10·1 answer
  • HELP I NEED HELP ASAP
    5·1 answer
  • Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!