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
levacccp [35]
3 years ago
10

An oblique cylinder has a radius of 10 meters and a volume of 2,500pi cubic meters. Use Cavalieri’s Principle to solve for the h

eight of the solid.
Mathematics
2 answers:
atroni [7]3 years ago
8 0

Answer:

25 meters.

Step-by-step explanation:

We are told that an oblique cylinder has a radius of 10 meters and a volume of 2,500 pi cubic meters.      

We will use volume of oblique cylinder to find the height of our given cylinder.

\text{Volume of oblique cylinder}=\pi r^2h

Upon substituting our given values in above formula we will get,

2500\pi\text{ m}^3=\pi (\text{10 m}^2*h

2500\pi\text{ m}^3=\pi*100\text{ m}^2*h

Let us divide both sides of our equation by 100 pi.

\frac{2500\pi\text{ m}^3}{\pi*100\text{ m}^2}=\frac{\pi*100\text{ m}^2*h}{\pi*100\text{ m}^2}

25 m=h

Therefore, height of our given oblique cylinder is 25 meters.

worty [1.4K]3 years ago
4 0
The answer you are looking for is 25.
2500 / 10² = 25
Since the formula for finding the volume is 
V = Pi r² h

You might be interested in
Hi please can you help me this is a new topic and I’m very confused
olchik [2.2K]

Answer: the large jar is cheaper

Step-by-step explanation:

If you divide the £1.54 by 440g and £1.26 by 340g, you'll find which one is cheaper per gram :

1.54/440 = 0.0035

1.26/340 = 0.0037

So, by comparing both prices/gram, you've found that the large jar is cheaper.

8 0
2 years ago
You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). O
Neko [114]

Answer:

a)q(p)=-15p+ +300

b)R(p)=-15p²+300p

c)C(p)=-30p+1600

d.1)P(p)=-15p²+330p-1600

d.2)p=$11

Step-by-step explanation:

(a).Before getting started, we are going to consider  the cartesian plane, where x-axis corresponds to the cover charge and y-axis corresponds to number of guests per night . There, we will locate the following coordinates according to the previous information:

(9,165)  (10,150).

Remember that  the slope-intercept form of the  linear equation is y=mx+b where m is the slope and b  is te intercept.

The slope can be calculated  by the next formula:

m=\frac{y2-y1}{x2-x1}

In this case we will assign  (9,165) as the first coordinate and (10,150) as the second one. The order does not matter. At the end we get the same value for m.

Therefore:

m=\frac{150-165}{10-9} = -15

Now, we have the slope and two poitns. According to this, and taking into account that  point-slope form of the equation of a line is y-y1=m(x-x1),   find a linear demand equation.

Any of two coordintates can be selected. In this case we will select the second one.

y-150=-15(x-10)   equation 1

Solve equation 1 for y

y=-15x+150+150

y=-15x+300

Above we had defined x as cover charge (p) and y as number of guests (q). Thus, rewrite equation 1.

q(p)=-15p+ +300.  

it equation shows the number of guests per night as a function of the cover charge,

(b). The nightly revenue can be calculated multplying the price of the cover charge by  the number of guests. So, we just have to multiply the equation 1 by p.

p*q(p)=p*(-15p +300)

R(p)=-15p²+300p   equation 2

(c) To get the cost function of the nightclub  we just have to multiply the cost of the two non-alcoholic drinks   by the number of the guests ( equation 1) and add to it  nightly overheads.

C(p)=2*(-15p+300)+1000

C(p)= -30p+600+1000

C(p)=-30p+1600  equation 3

(d) In order to find the profit in terms of the cover charge we will  subtract nightly costs ( equation 3) from nightly revenue (equation 2)

P(p)=R(p)-C(p)

P(p)=-15p²+300p - (-30p+1600)

P(p)=-15p²+300p+30p-1600

P(p)=-15p²+330p-1600

To determine that  the entrance fee we should charge for a maximum profit we are going to use the first derivative test (y'(x)=0) in order to find an extremum point.

Compute the first derivative of P(p)

P'(p)=-30p+330=0

30p=330

p=330/30

p= $11

The entrance fee that we should charge for a maximum profit is p=$11 per guest.

5 0
3 years ago
Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
timurjin [86]

Answer by JKismyhusbandbae: add 5 to 23

Explanation: The numbers are increasing by 5 each term. To double check 13 - 8 equals 5. To make sure it's right add 13 + 5 equals 18 and so you can add 23 plus 5 equals 28. Which means that five is our pattern.

4 0
3 years ago
Read 2 more answers
Goto ----> cash.gg to redeem your robux PRIZE!!!!
Musya8 [376]

Answer:

please do not give this irrivilant question

5 0
3 years ago
Read 2 more answers
Find the constant of variation k for the direct variation x -1 0 2 5 f(x) 2 0 -4 -10
Fofino [41]

Answer:

k = -2

Step-by-step explanation:

x     -1   0   2     5

f(x)  2   0  -4  -10

ƒ(x) = kx

Substitute a pair of values for x and ƒ(x)

-10 = k×5

Divide each side by 5

k = -2

The constant of variation k = -2.

8 0
3 years ago
Other questions:
  • Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package. If we want one hot dog for each bun for a picnic
    15·2 answers
  • Analyze the diagram<br> Find HG and HI?
    10·2 answers
  • To be considered similar, two polygons _____ have corresponding sides that are equal. always never sometimes
    7·2 answers
  • Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then sele
    15·1 answer
  • It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3 miles per hour. For the second part of the
    15·1 answer
  • A test preparation claims that more than​ 50% of the students who take their test prep course improve their scores by at least 1
    5·1 answer
  • We either walk 5 miles/day or ride a bike 10 miles/day. How many days will it take to cover a distance of at least 150 miles?
    10·1 answer
  • A number n, is multiplied by -0.7 the product is -1/2 what is the value of n
    7·1 answer
  • Find the equation of the line shown
    11·1 answer
  • Help, I’ll give brainliest, explain
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!