Question

There are many cylinders with a height of 18 meters. Let represent the radius in meters and represent the volume in cubic meters.
1. Write an equation that represents the volume as a function of the radius .

2.Complete this table, giving three possible examples.


3. If the radius of a cylinder is doubled, does the volume double? Explain how you know.

Answer 1

Answer:

Step-by-step explanation:

1). Equation that represents the volume of a cylinder,

   V = πr²h

   Here, r = radius of the cylinder

   h = Height of the cylinder

2). Fromm the given formula of volume,

   r(In m)            V(In cubic meters)

   1                           56.55

   2                          226.19

   3                          508.94

3). If the radius is doubled from 1 m to 2 m,

   At r = 1 m, Volume (V₁) = 56.55 m³

   At r = 2 m, Volume (V₂) = 226.19

   $\frac{V_2}{V_1}=\frac{226.19}{56.55}$

        = 4

   Therefore, volume is not doubled when radius of the cylinder is doubled.