(worth 10-20 points! )

these two right circular cylinders have the same height, 45 centimeters. the radius of the smaller cylinder is 22 centimeters and the radius of the larger cylinder is 6 times greater than that of the smaller cylinder. what is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder?

a) 6: 1

b) 12: 1

c) 36: 1

d) 150: 1

C) 36:1

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as πr^2h

Where

h represents the height of the cylinder.

r represents the radius of the cylinder.

π is a constant.

These two right circular cylinders have the same height, 45 centimeters.

The radius of the smaller cylinder is 22 centimeters and the radius of the larger cylinder is 6 times greater than that of the smaller cylinder. This means that the radius of the larger cylinder would be

6 × 22 = 132 centimeters

Volume of the larger cylinder would be

π × 132^2 × 45 = π × 17424 × 45

Volume of the smaller cylinder would be

π × 484× 45

the ratio of the volume of the larger cylinder to the volume of the smaller cylinder would be

(π × 17424 × 45) / (π × 484× 45)

= 36 : 1

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8