the radius of the base is halved nd the height is doubled.what is the ratio of the volume of the new cylinder to that of a original cylinder
Answers
Answer:
1:2
Step-by-step explanation:
Original Cylinder
Radius = r
Height = h
Volume = 3.14 * r * r * h
New Cylinder
Radius = r/2
Height = 2h
Volume = 3.14 * r/2 * r/2 * 2h
Therefore,
Required Ratio = New Cylinder : Original Cylinder
= (3.14 * r/2 * r/2 * 2h) : (3.14 * r * r * h)
= (3.14 * r/2 * r/2 * 2h) / (3.14 * r * r * h)
= 1 / 2
= 1 : 2 (ans)
Answer:
Original Cylinder
Radius = r
Height = h
Volume = 3.14 * r * r * h
New Cylinder
Radius = r/2
Height = 2h
Volume = 3.14 * r/2 * r/2 * 2h
Therefore,
Required Ratio = New Cylinder : Original Cylinder
= (3.14 * r/2 * r/2 * 2h) : (3.14 * r * r * h)
= (3.14 * r/2 * r/2 * 2h) / (3.14 * r * r * h)
= 1 / 2
= 1 : 2 (ans)
Please mark it as brainliest