Question

What is the ratio of the volume of a cylinder to the volume of a cylinder having twice the height but the same radius?​

Answer 1

♕ QUESTION ♕

What is the ratio of the volume of a cylinder to the volume of a cylinder having twice the height but the same radius?

ANSWER

REFER to the attachment

Answer 2

Answer:

THE RATIO IS 1 : 2

Volume of the second cylinder will be twice the volume of first cylinder

Step-by-step explanation:

Generally,

Volume of Cylinder =  π$r^{2}$h

Given that the volume of the second cylinder has  twice the height but the same radius. So only height changes not the radius

Let V₁ be the volume of first cylinder

V₁ = π$r^{2}$h

Let V₂ be the volume of second cylinder

V₂ = π$r^{2}$(2h)

V₂ = 2π$r^{2}$h

Now we have to find the ratio of the volume of a cylinders.

V₂ / V₁  = 2π$r^{2}$h /  π$r^{2}$h

We get,

V₂ / V₁ = 2

Therefore, V₂ = 2 V₁

THE RATIO IS 1: 2

SO THE VOLUME OF SECOND CONE IS TWICE THE VOLUME OF FIRST CONE.

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