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.

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

        = 4

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

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional