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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.
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Help me on problem 4 !!!!I WILL GIVE BRAINLIEST!!!!!
Aleksandr-060686 [28]

Answer:

b=12.20

Step-by-step explanation:

its asking for a triangle. there are two legs (the straight sides) and a hypotenuse*.( the slanted one) the formula for finding a missing side is a2+b2=c2. (squared) then you plug in your numbers. and c2 is always the slanted side while a and b are the legs. Sorry this was late tho.

5 0
2 years ago
It is dinos birthday today. She is 9 years older than tyger. Altogether, their ages add up to 23 years. How old is dino?
nikdorinn [45]

Answer:

7

Step-by-step explanation:

Tyger = x

Dinos = x + 9

Total = 23

x + x+9 = 23

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4 0
3 years ago
the central angle of an arc measures 12. the radius of its circle is 30 inches. what is the length of the arc to the nearest qua
Katarina [22]
IF the central angle is in degrees then the
arc length = (12 / 360) * circumference
arc length = (1 / 30) * 2 * PI * 30
arc length = 2 * PI inches
arc length = <span> <span> <span> 6.28 inches

Source:
http://www.1728.org/radians.htm

</span></span></span>
4 0
3 years ago
The equation y = 5x +7 models the number of Beanie Babies (y) that Mr. Crawford owns each month(x).
ddd [48]
After 42 months he will own 217 beanie babies

Take 217 and subtract 7 from it

217-7=210

Then you want to divide that number by 5

210/5=42

You can always fill in 42 for x and you will get 217 as your answer

5 x 42 =210 + 7= 217
3 0
3 years ago
Read 2 more answers
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