100 POINTS PLEASE HELP GIVING BRAINLIEST There are two right circular cylinders. The radius of the first cylinder is 3 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 15 centimeters, but its height is also 5 centimeters. What is the ratio of the volume of the second cylinder to the volume of the first cylinder?

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

9 : 1

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant

Considering the first cylinder,

Radius = 4 cm

Height = 5 cm

Volume = π × 4² × 5 = 80π cm³

Considering the second cylinder,

Radius = 12 cm

Height = 5 cm

Volume = π × 12² × 5 = 720π cm³

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is

720π/80π = 9/1

g

step-by-step explanation: