The height of right circular cylinder p is twice the height of right circular
cylinder q. the radis of the cylinders are of equal length. what number
times the volume of cylinder q is equal to the volume of cylinder p?

2 times the volume of cylinder Q is equal to the volume of cylinder P

Solution:

The volume of right circular cylinder is given as:

Where "r" is the radius and "h" is the height of cylinder

The height of right circular cylinder P is twice the height of right circular  cylinder Q

Let "h" be the height of cylinder p and "H" be the height of cylinder Q

Height of cylinder P = 2 (height of right circular  cylinder Q)

h = 2H ---- eqn 1

The radius of the cylinders are of equal length

Let "r" be the radius of cylinder P and cylinder Q

Volume of cylinder Q:

Volume of cylinder P:

Substitute eqn 1

Therefore,

Volume of cylinder P = 2(volume of cylinder Q)

There 2 times the volume of cylinder Q is equal to the volume of cylinder P

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

step-by-step explanation:

no solution.