The volume of a cylinder is V = 1/3 πr2h. If the radius is doubled and the height is halved, what will be the ratio of the new v

Question

leva [86]

3 years ago

8

The volume of a cylinder is V = 1/3 πr2h. If the radius is doubled and the height is halved, what will be the ratio of the new v

olume to the old volume

Mathematics

2 answers:

ozzi · Answer 1 · 2022-01-14T09:05:29+03:00

ozzi3 years ago

8 0

<span>V(o) = 1/3 πr²h - old volume
</span>V(n) = 1/3 π(2r)²(h/2)=1/3 π(2r)²(h/2)=1/3*4/2* πr²h=1/3*2* πr²h
V(n)/V(o)=1/3*2* πr²h/1/3 πr²h=2/1
V(n)/V(o)=2/1 - ratio
the volume will be doubled

My name is Ann [436] · Answer 2 · 2022-01-14T11:11:17+03:00

My name is Ann [436]3 years ago

5 0

Answer:

The answer is 2:1.

Step-by-step explanation:

New volume/ Old volume = 2 pi divided by pi = 2:1

I took a quiz and this was the answer.