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
STatiana [176]
3 years ago
14

if the volume of a cone is 108 pi cubic units and the radius is 6 units what is the height of the cylinder

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0
$$\begin{matrix}
V=\pi r^2\left(\frac{h}{3}\right)\\\\
108=\pi \left(6\right)^2\left(\frac{h}{3}\right)\\\\
\pi \left(6\right)^2\left(\frac{h}{3}\right)=108\\\\
\pi \left(36\right)\left(\frac{h}{3}\right)=108\\\\
12\pi h=108\\\\
\frac{12\pi h}{12\pi }=\frac{108}{12\pi }\\\\
h=\frac{9}{\pi }\\\\
\mathbf{h\approx 2.86\:units}
\end{matrix}$$
You might be interested in
72times45 Help Please
worty [1.4K]

Answer:

3,240

Step-by-step explanation:

Multiply 72 x 45

7 0
4 years ago
Read 2 more answers
A lighthouse is located on an island 200 feet from the shore of the mainland as
Deffense [45]

Answer: Approximately d = 208.72

============================================================

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

4 0
3 years ago
Cable company a increase their rates from 98 a month to 110.92 a month.what is the percents of increase?
Debora [2.8K]
So from 98 to 110.92 is just 12.92 extra bucks.

if we take 98 to be the 100%, what is 12.92 off of it in percentage?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
98&100\\
12.92&p
\end{array}\implies \cfrac{98}{12.92}=\cfrac{100}{p}\implies p=\cfrac{12.92\cdot 100}{98}
6 0
3 years ago
Use complete sentences to describe why Set A = { X | X is an even whole number between 0 and 2} = No solution/or empty set.
Inessa05 [86]
A = {1}
(conjunto unitário)
5 0
3 years ago
The sum of 1/2 and four times a number is equal to 5/6 subtracted from five times the number. Find the number.
docker41 [41]
1/2 + 4x = 5x - 5/6
1/2 = x - 5/6
3/6 = x - 5/6
x = 8/6
7 0
3 years ago
Other questions:
  • In a songwriting competition, the minimum length of a song is 2.5 minutes. The maximum length of a song is 5.5 minutes. Write an
    10·2 answers
  • Need help solving this
    9·1 answer
  • Solve the equation.(Y-9)-(y+2)=4y
    13·2 answers
  • Given this expression 5(-2x−3) , what number are you distributing and how do you know?
    9·2 answers
  • Which ones are right? (20 points)
    13·2 answers
  • On a school trip 1/5 of teachers classes will be going if there are 105 students in all his classes how many students will be on
    14·1 answer
  • Plz help with question
    6·1 answer
  • F(x) = -4x + 10<br> g(x) = x2 + 7x+ 5<br> Composition of functions how to solve value of g [f(4)]
    13·1 answer
  • What is the simplified expression for 2(x-5)?<br> A. 2x<br> B. - 108<br> C. 2x-10<br> D. 2x+5
    7·2 answers
  • I need help figuring out the answers to these kinda poorly worded questions
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!