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
asambeis [7]
3 years ago
5

The volume V of a solid right circular cylinder is given by V = πr2h where r is the radius of the cylinder and h is its height.

A soda can has inner radius r = 1.5 inches, height h = 6 inches, wall thickness 0.04 inches, and top and bottom thickness 0.07 inches. Use linearization to compute the volume, in cubic inches, of metal in the walls and top and bottom of the can. Give your answer to 2 decimal places.
Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

Answer:

8.20in³

Step-by-step explanation:

Given V = πr²h

r is the radius = 1.5in

h is the height = 6in

thickness of wall of the cylinder dr = 0.04in

top and bottom thickness dh 0.07in+0.07in = 0.14in

To compute the volume, we will find the value of dV

dV = dV/dr • dr + dV/dh • dh

dV/dr = 2πrh

dV/dh = πr²

dV = 2πrh dr + πr² dh

Substituting the values into the formula

dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14

dV = 2π (0.36)+π(1.89)

dV = 0.72π+1.89π

dV = 2.61π

dV = 2.61(3.14)

dV = 8.1954in³

Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)

You might be interested in
Solve for m.<br><br> –9 + 6m = –3m − 1 + 10m
vagabundo [1.1K]

Answer:

m = -8

Step-by-step explanation:

-9 + 6m = -3m - 1 + 10m

-8 + 6m = 7m

-8 = m

6 0
3 years ago
Read 2 more answers
Find diameter of the circle with the circumference of 40.82 in.
Anarel [89]
The answer is d = 12.99 in. ☺ 
The Circumference is 40.82 so you use that to get your Diameter.
5 0
4 years ago
Please help me with this question
Veronika [31]

Answer:

Since we have g(4) just replace every x with 4:

g(4) = (4² -6)/(3×4 + 10)

      = (16 - 6)/(12 + 10)

      = 10/22 = 5/11

8 0
3 years ago
Read 2 more answers
Answer this correctly for brainliest pls!!
Molodets [167]

A function that depicts depreciation can be represented as equations, graphs and tables.

<h3>The yearly value of each car for the first five years</h3>

The functions are given as:

V(t) =C(1 - r^t)

V(t) =C(1 - r)^t

Where:

C = 5895 --- the initial value of the car

r = 22% --- the rate of depreciation

For the first 5 years, the values of t = 1, 2, 3, 4 and 5

For the first function, we have:

V(1) =5895(1 - 22\%^1) = 4598.1

V(2) =5895(1 - 22\%^2) = 5609.7

V(3) =5895(1 - 22\%^3) = 5832.2

V(4) =5895(1 - 22\%^4) = 5881.2

V(5) =5895(1 - 22\%^5) = 5892.0

For the second function, we have

V(1) =5895(1 - 22\%)^1 = 4598.1

V(2) =5895(1 - 22\%)^2 = 3586.5

V(3) =5895(1 - 22\%)^3 = 2797.5

V(4) =5895(1 - 22\%)^4 =2182.0

V(5) =5895(1 - 22\%)^5 = 1702.0

So, the table of values is:

\left[\begin{array}{ccc}Years&Car\ 1&Car\ 2\\1&4598.1&4598.1\\2&5609.7&3586.5\\3&5832.2&2797.5\\4&5881.2&2182.0\\5&5892.0&1702.0\end{array}\right]

See attachment for the graphs of the two functions

<h3>Interpreting the graphs</h3>

The graph of car 1 increases up to C(t) = 5895, and then remains constant as the value of t increases while the graph of car 2 follows an exponential pattern.

This means that, the graph 2 that follows an exponential pattern is more realistic

<h3>The worth of the cars after 5 years</h3>

From the table, the worth of car 1 is $5892.0, while the worth of car 1 is $1702.0

Read more about graphs and functions at:

brainly.com/question/13473114

5 0
2 years ago
Alan is 30 years old, and Vanessa is 22 years old. How many years ago was Alan twice as old as Vanessa?
Alborosie

The number of years past when Alan was twice Vanessa's age is 14 years.

Current ages :

  • Alan = 30 years
  • Vanessa = 22 years

<u>We can set up an equation where, x = number of years when Alan was 2 times Vanessa's age thus</u> :

30 - x = 2(22 - x)

30 - x = 44 - 2x

Collect like terms

-x + 2x = 44 - 30

x = 14

Therefore, 14 years ago, Alan's age was twice Vanessa's age.

Learn more :brainly.com/question/18796573

6 0
3 years ago
Read 2 more answers
Other questions:
  • Write an expression that represents the area of a rectangle with length 4ab^2 and width 2ab
    6·1 answer
  • If you have 3 cups of pineapple juice how many cups can you make?Juice recipe:Ginger ale:40% orange juice:25% pineapple juice:20
    10·1 answer
  • What is the area of the following circle?
    14·2 answers
  • The circumference of a redwood tree trunk is 18π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree t
    13·1 answer
  • Which of the statements about the y-axis are true? I.The y-axis is a vertical number line that passes through the origin.II.The 
    8·1 answer
  • X + 3y – 2z = 3<br> -x – 2y + z = -2<br> 2x – 7y + z = 1
    8·1 answer
  • What value of k will make this relationship NOT a function?
    11·1 answer
  • VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.
    12·1 answer
  • Which describes how to calculate the range of this data set?
    5·1 answer
  • Check the screenshot for the question. Please help ASAP.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!