Question

(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

Answer 1

C.36:1

Explanation:

Answer 2

Answer:C) 36:1

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