There are two right circular cylinders. The radius of the first cylinder is 4 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 12 centimeters, and its height is also 5 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? A. 3:1 B. 5:1 C. 6:1 D. 9:1

D. 9:1

Step-by-step explanation:

The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).

The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.

4 · 3 = 12

However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.

You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:

3.14 · 4² · 5 = 251.2

3.14 · 12² · 5 = 2,260.8

The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.

2.260.8 ÷ 9 = 251.2

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