Does doubling the height of the cylinder has the same affect on the volume of a cylinder as doubling the radius explain

1 answer:

3 0

Volume of cylinder = π.R².h , where R = radius and h = height

Let's replace h by 2h:
V₁= πR².(2h) → V₁ = 2π.R².h

Now let's double R, the radius (and keep h as h)
V₂ = π.(2R)².h → V₂ = 4.π.R².h

Compare V₁ to V₂→ (V₁ = 2π.R².h and V₂ = 4.π.R².h).
It's obvious that V₂ = 2.V₁

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