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
valina [46]
3 years ago
7

A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

as halving the height.
Mathematics
1 answer:
elena55 [62]3 years ago
5 0

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

SA=2\pi r^2 + 2\pi r h

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi

Original SA is 44\pi,

Halving diameter makes it 20\pi

Halving height makes it 26\pi

So, halving diameter does not have same effect as halving height.

You might be interested in
Simplify and be granted 10 points! :0
babunello [35]

Answer:46

Step-by-step explanation:

5 0
2 years ago
Plz help me solve the quadratic formula by factoring!!!!<br><br>m (m-3) = 0​
Maksim231197 [3]

Answer:

m^2 - 3m = 0

Step-by-step explanation:

m(m-3) = 0

m^2 - 3m = 0

5 0
2 years ago
Read 2 more answers
Help please<br>h - (-2) ≥ 10​
hichkok12 [17]

Answer:

answer

Step-by-step explanation:

h+2 ≥ 10

h ≥ 10 - 2

h ≥ 8

5 0
3 years ago
Please help me asap! pleaseee
lina2011 [118]
It’s B 26 in a rhombus opposite sides are parallel
4 0
3 years ago
Read 2 more answers
Writhe down 2 numbers from this list: -45,-21,-16,12,33,40 that have a difference of 29
ycow [4]

( - 16) - ( - 45) = 29
3 0
3 years ago
Read 2 more answers
Other questions:
  • In bulk, jelly beans cost 18 cents per ounce. What is the cost of the jelly beans in dollars per pound?
    8·1 answer
  • Can you answer this? <br> factorise 6p + 24q
    6·1 answer
  • X+Y-Z=19<br> 2X-3Y+Z=13<br> 3X-5Y-6Z=-15
    6·1 answer
  • Jernel has to figure out the area of her square garage. she knows that one side of the garage is equal to the length of her rabb
    14·1 answer
  • You might need: Calculator
    11·1 answer
  • I need to solve for x this is really easy I just don't have the time to do it please help.​
    15·2 answers
  • Please Help...I really need this, I dont understand???
    11·1 answer
  • The formula for distance traveled d is d=rt, where r is the average speed of the object and t is time traveled. If an object tra
    10·1 answer
  • When lines are parallel...
    6·1 answer
  • Hcf of 60 and 36 <br><br> Please help meeee meow
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!