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
Aleks04 [339]
3 years ago
10

How does the volume of a cylinder change when its diameter is halved? Explain Please.

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0
The answer is: it will decrease 4 times.

Let d be diameter and h height of a cylinder

The volume of a cylinder is:
V1 = π * (d/2)² * h = π * d²/4 * h = π * d² * h / 4
If diameter is halved, the volume is:
V2 = π * ((d/2)/2)² * h = π * (d/4)² * h = π * d²/16 * h = π * d² * h / 16

Now, let's compare them:
V1 / V2 = (π * d² * h / 4) / (π * d² * h / 16)

π * d² * h can be cancelled out:
V1 / V2 = (1/4) / (1/16) = (1/4) * 16 = 16/4 = 4

Therefore, the volume of the smaller cylinder will decrease 4 times.
You might be interested in
Given f (x) = 2x3 + 5x2 – 3x and g(x) = 8x – 7, find (f X g)(x).
Roman55 [17]

Step-by-step explanation:

I don't know what you really mean by 2x3 and 5x2 but if the x there's is multiplication sign then your answer is 149x - 24x^2 - 112.

3 0
2 years ago
What is the sum of 93+(68+7) using
stich3 [128]

Answer:

75

+93

168

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Use the GCF of the terms to write the expression as the product of two factors with integer coefficients.
Alchen [17]
The greatest common factor (GCF) is determined by finding the greatest factor that would simplify all the terms of the equation the most. 

For the equation -2x³ - 4x² + 4x
The common factor for the coefficients -2, -4 and 4 is -2, since all of them are divisible by -2.
The common factor for the variables x³, x² and x is x, since all of them are divisible by x.

Then, the GCF would be -2x. We use this to simplify the equation:

-2x(x² + 2x -2)
7 0
3 years ago
Can one of y’all help me with this pls
Dafna11 [192]

Answer:

d. 42

Step-by-step explanation:

PEDMAS

We do brackets first, so:

4 + 4 = 8

Then multiplication,

5 x 8 = 40

Then addition

40 + 2 = 42

6 0
3 years ago
Read 2 more answers
Plzzzzzzzzzzzzzzzzzzz help
liq [111]

Answer:

25

Step-by-step explanation:

1/2 b h

1/2×10×5=25

so i guess the ans is 25 thats all I know

u take 1/2 base ×height

4 0
3 years ago
Read 2 more answers
Other questions:
  • Online purchasing an online video store charges $24 for each DVD shipping cost $4per order find the cost of 3 DVDs
    6·2 answers
  • Please help :) Thank you! I will mark brainliest if correct.
    15·1 answer
  • PLEASE HELP PRECALC!! 1. Is the function f(x)=5x^2-3x^4+3/4x-7 a polynomial function? If so, state its degree and the leading co
    5·2 answers
  • Which of these equations is in POINT-SLOPE form?
    7·1 answer
  • The elevation we call sea level is actually the average level of the sea. This means that at average sea level, the elevation is
    12·1 answer
  • What is the slope of the line shown below
    8·1 answer
  • Nikki saved 15% on a<br> $100 purchase. How much<br> did she pay
    10·1 answer
  • Name the angle in three different ways.​
    12·1 answer
  • What is 5 times 5 help 9 grade
    14·2 answers
  • Using the model from the example above, where f(x)=10001+999e−0.6030x, estimate the number of cases of flu on day 15. Remember t
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!