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
igor_vitrenko [27]
3 years ago
8

Find the lateral​ (side) surface area of the cone generated by revolving the line segment y equals one fourth x ​, 0 less than o

r equals x less than or equals 7​, about the​ x-axis. The lateral surface area of the cone generated by revolving the line segment y equals one fourth x ​, 0 less than or equals x less than or equals 7​, about the​ x-axis is nothing. ​(Type an exact​ answer, using pi as​ needed.)
Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer:

lateral​ surface area of the cone =49π

Step-by-step explanation:

y= x/4

dx/dy = 4

Given x range as  from 0 ≤ x ≤ 7 ⇒ x ranges between (a,b)

a= x/4 = 0/4 = 0

b = x/4= 7/4

lateral​ surface area of the cone

\int\limits^b_a {2\pi x\sqrt{1 + (\frac{dx}{dy})^2 } } \, dx \\\\= \int\limits^{\frac{7}{4}}_0 {2\pi (4y)\sqrt{1 + (4)^2 } } \, dx \\\\= 32\pi \int\limits^{\frac{7}{4}}_0 { y } \, dx \\\\= 32\pi [\frac{y^2}{2}]|^\frac{7}{4}_0

=32π * 49/(16 *2)

=49π

You might be interested in
Help me pleaseee will give brainliest
Yuliya22 [10]

Answer:

x_1=5,\\x_2=2

Step-by-step explanation:

<u>Problem 1:</u>

The angles \angle 3 and \angle 7 are corresponding, and thus are equal to each other. We can then set up the following equation:

5x+2=27,\\5x=25,\\x=\fbox{$5$}.

<u>Problem 2:</u>

The angles \angle 6 and \angle 4 are supplementary, meaning they add up to 180^{\circ}. Therefore, we have the following equation:

18x+144=180,\\18x+36,\\x=\fbox{$2$}.

4 0
3 years ago
Read 2 more answers
Solve<br> 13/19-(-1/19)<br><br> a.-12/19<br> b.-14/19<br> c.14/19<br> d.12/19
mojhsa [17]

Answer:

C

Any time you have a subtraction and a negitive right next to eachother, it means to add. So, you would add 13 and 1 to get 14, then keep the denominator 19 to get 14/19.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which equations represent inverse variation? Check all that apply.
Bogdan [553]
For this case, what you should know is that the equations that represent an inverse variation are those that could not form a straight line, for example.

 We have then:
 Equation 1:
 pv = 13
 Rewriting:
 p = 13 / v
 P and v are represent an inverse variation.
 Equation 2:
 z = (2 / x)
 z and x are represent an inverse variation.
 Answer:
 
equations represented inverse variation are:
 pv = 13
 z = (2 / x)
4 0
3 years ago
Read 2 more answers
Which rigid transformation does not result in a reversed orientation of the original image?
ehidna [41]
Reflection is a type of transformation which will not result in reversed orientation. This transformation that uses a line that acts like a mirror called the line of reflection which means that with an image reflected in the line.
4 0
3 years ago
Read 2 more answers
Please help me on this anyone ? (Will give brainliest)
mash [69]

Answer:

D : x² + y² = 64

Step-by-step explanation:

x² + y² = 8²

x² + y² = 64

therefore, your answer is 64

8 0
4 years ago
Read 2 more answers
Other questions:
  • What is the relationship between the sides of a right triangle?
    14·1 answer
  • An experiment consists of drawing a marble out of a bag, observing the color, and then placing it back in the bag. Suppose the e
    10·2 answers
  • the ones digit of a two digit number is one less than the tens digit. One-half of the sum of the ones digit and double the tens
    6·1 answer
  • A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number
    9·2 answers
  • What is 457_73+673×77+8_15528_6388×728_2_6×82992=
    14·1 answer
  • Can done one tell me the answer to the question I just imputed?
    5·1 answer
  • What is the correct meaning of the word yield?<br> Hehehe
    12·1 answer
  • How many times larger is 4 × 10^10 than 2 × 10^8?
    10·2 answers
  • Ashley is baking a cake. The recipe calls for seven cups of flour. She already put in four cups. How many more cups does she nee
    8·2 answers
  • FIsh tank has a length of 40 centimeters and a width of 30.5 centimeters. The water height in the fish tank is 28 centimeters. A
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!