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
zhenek [66]
3 years ago
6

How does the volume of a cylinder change if the radius is quadrupled and the height is reduced to a third of its original size?

Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer:

the answer is  1/3 pie r2h

Step-by-step explanation:

The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and h is the height of the cylinder.

Also r=d/2 , where d is the diameter of the cylinder.

Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume = π(r/2)²h

=π(r²/4)h

=(1/4) πr²h

Therefore the volume becomes one-fourth of the initial volume.

You might be interested in
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what
lora16 [44]

Answer:

The minimum cost per unit is obtained for an order of 8 units.

Step-by-step explanation:

Since the total cost is modeled by;

C(x)=5x²+320

Then;

1 unit costs; C(x)=5(1)²+320 = 325

cost per unit 325/1 = 325

8 units costs; C(x)=5(8)²+320 = 640

cost per unit = 640/8 = 80

80 units costs; C(x)=5(80)²+320 = 32320

Cost per unit = 32320/80 = 404

The minimum cost per unit is obtained for an order of 8 units.

7 0
3 years ago
HELP ME PLEASE ASAP!!!!
Naddika [18.5K]

Answer:

A = 22.62

Step-by-step explanation:

Remember law of tan

tan = opposite/adjacent

tan (A) = 5/12

A= tan inverse ( 5/12)

A = 22.62

6 0
3 years ago
Which equation does not represent a quadratic function?
Kryger [21]

\text{A quadratic function is in the  form of } ~ f(x)=ax^2 +bx+c.\\\\\\y=x+5 ~ \text{is linear so it is not in a form of quadratic function.}

3 0
3 years ago
Here are the first four terms of an arithmetic sequence.
ololo11 [35]

Answer:

nth term = 7n - 2

Step-by-step explanation:

a = first term = 5

d = common difference = second term - first term

  = 12 - 5 =7

d = 7

a_{n} = a + (n-1)d

    = 5 + (n -1)7

    = 5 + 7n - 7          {add like terms}

    = 7n - 2

5 0
3 years ago
Read 2 more answers
Rani has a stamp collection which consists of Indian stamps and foreign stamps. The ratio of
Lostsunrise [7]

Answer:

2/9

Step-by-step explanation:

2 + 7 = 9

There are two Indian stamps, and the total is 9 stamps.

8 0
4 years ago
Other questions:
  • How many times smaller is the value of the 4 in 2,400,000 than the value of the 4 in 4,800,000?
    13·2 answers
  • PLEASE HELP ME ASAP!! I REALLY NEED HELP :((
    9·1 answer
  • Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The simplest form o
    14·1 answer
  • 9 hours = days can anyone tell me<br>​
    7·2 answers
  • You are graphing Rectangle ABCD in the coordinate plane. The following are three of the vertices of the
    11·1 answer
  • Since school is over here ya go 100 points
    5·2 answers
  • Exit
    10·2 answers
  • Plz, help! Due soon!
    6·2 answers
  • The mean number of visitors at a national park in one weekend is 52. Assume the variable follows a poisson distribution. Find th
    10·1 answer
  • Could someone please answer this who actually knows how to do it please??!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!