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
ludmilkaskok [199]
2 years ago
11

The radius of a 12 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.2 inch. What is the

resulting possible error in the volume of the cylinder? Include units in your answer.
Please explain in detail!

I know that V = pir^2h
r = 4 and h = 12
V = pi(4^2)(12) = 603.186

Now what do I do?
Mathematics
1 answer:
GuDViN [60]2 years ago
5 0
Given:
r = radius = 4
h = height = 12
dr = error in radius = 0.2

What we want to find
dV = error in volume

Use the derivative to find the differential dV
V = pi*r^2*h
dV/dr = d/dr[ pi*r^2*h ]
dV/dr = 2pi*r*h
dV = 2pi*r*h*dr
dV = 2pi*4*12*0.2
dV = 19.2pi

So if the error in measuring the radius is +-0.2 inches, then the error in the cylinder volume is +-19.2pi cubic inches (we either measure the volume to be 19.2pi cubic inches too big, or 19.2pi cubic inches too small)

----------------------------------------------------------------------------------

Final Answer: Plus or minus 19.2pi cubic inches

Note: your teacher may want you to drop the "plus or minus" part
You might be interested in
Factor. (6x+4) <br><br><br> 3(2x+1) <br><br> 3x + 2 <br><br> 2(3x+2) <br><br> 2(x+2)
jok3333 [9.3K]

Answer:

2(3x+2) is your answer because you factor out 2. The number 2 is a factor of both 6 and 4 (2*3=6 and 2*2=4).


5 0
3 years ago
(y+3); y=2 what is the answer
alexandr1967 [171]
No offense but this is really easy all you do is substitution (2+3)= 5
3 0
2 years ago
Read 2 more answers
Please help. Don’t understand this math problem!!!
Fittoniya [83]

Answer:

1). Option (C)

2). Option (A). degree of 3 = 0

Step-by-step explanation:

A polynomial having one term is called 'Monomial' in algebraic terms.

3 is a number that is a polynomial with a single term.

Therefore, the given expression is a polynomial.

Hence Option (C) is the answer.

3 can be written as 3x⁰ (Since x⁰ = 1)

Therefore, degree of the polynomial is 0.

Option (A). degree of the polynomial = 0

6 0
3 years ago
What is 0.2% of 3,542​
beks73 [17]
The answer is 7.084. Just multiply 3542 by .002 to find the answer.
7 0
3 years ago
Read 2 more answers
Which linear inequality is represented by the graph?
jarptica [38.1K]

Answer: y > 2x + 1

Step-by-step explanation:

In the graph first, we can see two things:

The line is not solid (so the values in the line are not included), and the shaded part is above, so we will be using the symbol:

y > f(x)

Now, in the line we can see that when x = 0, y = 1.

So the linear equation must be something like:

f(x) = a*x + 1

The only one that has an y-intercept equal to 1 is y > 2x + 1

6 0
3 years ago
Other questions:
  • Two thirds a number plus 4 is 7
    8·1 answer
  • Which volume could belong to a cube with a side length that is an integer? Recall the formula Cube volume = s cubed. 18 cubic in
    9·2 answers
  • Solve 7−3n ≤ n+3<br> ................
    10·1 answer
  • Can someone help me
    10·1 answer
  • What’s the correct answer for this question?
    6·1 answer
  • A circle's radius is 23 inches. What is the circle's circumference ( use 3.14 for pi and round to the nearest tenth.) 20 POINTS
    10·1 answer
  • NEED HELP QUICKLY! PICTURE BELOW!
    5·1 answer
  • 6. The dimensions of a rectangular garden are 380ft x 250ft. If you want to walk around this garden to make 3 miles for a mornin
    7·1 answer
  • Triangle ABC is similar to triangle WYZ.
    5·1 answer
  • Write an expression for the sequence of operations described below.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!